## Begin on: Wed Oct 16 07:43:13 CEST 2019

ENUMERATION
No. of records: 1108

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 25 (21 non-degenerate)
2     [ E3b] : 140 (115 non-degenerate)
2*    [E3*b] : 140 (115 non-degenerate)
2ex   [E3*c] : 1 (1 non-degenerate)
2*ex  [ E3c] : 1 (1 non-degenerate)
2P    [  E2] : 23 (22 non-degenerate)
2Pex  [ E1a] : 2 (2 non-degenerate)
3     [ E5a] : 673 (362 non-degenerate)
4     [  E4] : 40 (16 non-degenerate)
4*    [ E4*] : 40 (16 non-degenerate)
4P    [  E6] : 13 (2 non-degenerate)
5     [ E3a] : 4 (2 non-degenerate)
5*    [E3*a] : 4 (2 non-degenerate)
5P    [ E5b] : 2 (2 non-degenerate)

E18.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, B, A, B, A, B, A, A, S^2, S^-1 * B * S * A, S^-1 * A * S * B, S^-1 * Z * S * Z, Z^18, (Z^-1 * A * B^-1 * A^-1 * B)^18 ]
Map::
	R = (1, 20, 38, 56, 2, 22, 40, 58, 4, 24, 42, 60, 6, 26, 44, 62, 8, 28, 46, 64, 10, 30, 48, 66, 12, 32, 50, 68, 14, 34, 52, 70, 16, 36, 54, 72, 18, 35, 53, 71, 17, 33, 51, 69, 15, 31, 49, 67, 13, 29, 47, 65, 11, 27, 45, 63, 9, 25, 43, 61, 7, 23, 41, 59, 5, 21, 39, 57, 3, 19, 37, 55)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, B * A, Z^-1 * A * Z * A, S * B * S * A, (S * Z)^2, Z^-4 * B * Z^-5 ]
Map::
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 27, 45, 63, 9, 31, 49, 67, 13, 35, 53, 71, 17, 33, 51, 69, 15, 29, 47, 65, 11, 25, 43, 61, 7, 21, 39, 57, 3, 24, 42, 60, 6, 28, 46, 64, 10, 32, 50, 68, 14, 36, 54, 72, 18, 34, 52, 70, 16, 30, 48, 66, 12, 26, 44, 62, 8, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 42)(3, 37)(4, 43)(5, 46)(6, 38)(7, 40)(8, 47)(9, 50)(10, 41)(11, 44)(12, 51)(13, 54)(14, 45)(15, 48)(16, 53)(17, 52)(18, 49)(19, 57)(20, 60)(21, 55)(22, 61)(23, 64)(24, 56)(25, 58)(26, 65)(27, 68)(28, 59)(29, 62)(30, 69)(31, 72)(32, 63)(33, 66)(34, 71)(35, 70)(36, 67)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, B * A * B, A^3, (A^-1, Z), (Z, B), S * B * S * A, (S * Z)^2, A^-1 * Z^-6 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 30, 48, 66, 12, 35, 53, 71, 17, 29, 47, 65, 11, 23, 41, 59, 5, 26, 44, 62, 8, 32, 50, 68, 14, 36, 54, 72, 18, 33, 51, 69, 15, 27, 45, 63, 9, 21, 39, 57, 3, 25, 43, 61, 7, 31, 49, 67, 13, 34, 52, 70, 16, 28, 46, 64, 10, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 41)(4, 45)(5, 37)(6, 49)(7, 44)(8, 38)(9, 47)(10, 51)(11, 40)(12, 52)(13, 50)(14, 42)(15, 53)(16, 54)(17, 46)(18, 48)(19, 59)(20, 62)(21, 55)(22, 65)(23, 57)(24, 68)(25, 56)(26, 61)(27, 58)(28, 71)(29, 63)(30, 72)(31, 60)(32, 67)(33, 64)(34, 66)(35, 69)(36, 70)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A^3, B^3, Z^-1 * A^-1 * Z * B, (S * Z)^2, A * Z^-1 * B^-1 * Z, S * B * S * A, Z^-2 * B * Z^-4 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 30, 48, 66, 12, 33, 51, 69, 15, 27, 45, 63, 9, 21, 39, 57, 3, 25, 43, 61, 7, 31, 49, 67, 13, 36, 54, 72, 18, 35, 53, 71, 17, 29, 47, 65, 11, 23, 41, 59, 5, 26, 44, 62, 8, 32, 50, 68, 14, 34, 52, 70, 16, 28, 46, 64, 10, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 41)(4, 45)(5, 37)(6, 49)(7, 44)(8, 38)(9, 47)(10, 51)(11, 40)(12, 54)(13, 50)(14, 42)(15, 53)(16, 48)(17, 46)(18, 52)(19, 59)(20, 62)(21, 55)(22, 65)(23, 57)(24, 68)(25, 56)(26, 61)(27, 58)(28, 71)(29, 63)(30, 70)(31, 60)(32, 67)(33, 64)(34, 72)(35, 69)(36, 66)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, S * B * S * A, (S * Z)^2, (A, Z^-1), Z^-1 * B * Z^-2, B^6, (A^-2 * B^-1)^2, A^6 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 21, 39, 57, 3, 25, 43, 61, 7, 30, 48, 66, 12, 27, 45, 63, 9, 31, 49, 67, 13, 35, 53, 71, 17, 33, 51, 69, 15, 36, 54, 72, 18, 34, 52, 70, 16, 29, 47, 65, 11, 32, 50, 68, 14, 28, 46, 64, 10, 23, 41, 59, 5, 26, 44, 62, 8, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 45)(4, 42)(5, 37)(6, 48)(7, 49)(8, 38)(9, 51)(10, 40)(11, 41)(12, 53)(13, 54)(14, 44)(15, 47)(16, 46)(17, 52)(18, 50)(19, 59)(20, 62)(21, 55)(22, 64)(23, 65)(24, 58)(25, 56)(26, 68)(27, 57)(28, 70)(29, 69)(30, 60)(31, 61)(32, 72)(33, 63)(34, 71)(35, 66)(36, 67)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^-1 * Z^-3, (S * Z)^2, S * B * S * A, (A^-1, Z^-1), A^6 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 23, 41, 59, 5, 26, 44, 62, 8, 30, 48, 66, 12, 29, 47, 65, 11, 32, 50, 68, 14, 35, 53, 71, 17, 33, 51, 69, 15, 36, 54, 72, 18, 34, 52, 70, 16, 27, 45, 63, 9, 31, 49, 67, 13, 28, 46, 64, 10, 21, 39, 57, 3, 25, 43, 61, 7, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 40)(7, 49)(8, 38)(9, 51)(10, 52)(11, 41)(12, 42)(13, 54)(14, 44)(15, 47)(16, 53)(17, 48)(18, 50)(19, 59)(20, 62)(21, 55)(22, 60)(23, 65)(24, 66)(25, 56)(26, 68)(27, 57)(28, 58)(29, 69)(30, 71)(31, 61)(32, 72)(33, 63)(34, 64)(35, 70)(36, 67)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, B^-1 * Z^-1 * A^-1 * Z^-1, A^-1 * B^-1 * Z^-2, (S * Z)^2, S * A * S * B, A^-1 * B^-1 * Z^2 * B^-1 * A^-4, (B * A)^9 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 29, 47, 65, 11, 33, 51, 69, 15, 36, 54, 72, 18, 31, 49, 67, 13, 28, 46, 64, 10, 21, 39, 57, 3, 25, 43, 61, 7, 23, 41, 59, 5, 26, 44, 62, 8, 30, 48, 66, 12, 34, 52, 70, 16, 35, 53, 71, 17, 32, 50, 68, 14, 27, 45, 63, 9, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 41)(7, 40)(8, 38)(9, 49)(10, 50)(11, 44)(12, 42)(13, 53)(14, 54)(15, 48)(16, 47)(17, 51)(18, 52)(19, 59)(20, 62)(21, 55)(22, 61)(23, 60)(24, 66)(25, 56)(26, 65)(27, 57)(28, 58)(29, 70)(30, 69)(31, 63)(32, 64)(33, 71)(34, 72)(35, 67)(36, 68)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A^-1, (S * Z)^2, S * A * S * B, A^9, (B^-1 * Z)^18 ]
Map::
	R = (1, 20, 38, 56, 2, 21, 39, 57, 3, 24, 42, 60, 6, 25, 43, 61, 7, 28, 46, 64, 10, 29, 47, 65, 11, 32, 50, 68, 14, 33, 51, 69, 15, 36, 54, 72, 18, 35, 53, 71, 17, 34, 52, 70, 16, 31, 49, 67, 13, 30, 48, 66, 12, 27, 45, 63, 9, 26, 44, 62, 8, 23, 41, 59, 5, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 42)(3, 43)(4, 38)(5, 37)(6, 46)(7, 47)(8, 40)(9, 41)(10, 50)(11, 51)(12, 44)(13, 45)(14, 54)(15, 53)(16, 48)(17, 49)(18, 52)(19, 59)(20, 58)(21, 55)(22, 62)(23, 63)(24, 56)(25, 57)(26, 66)(27, 67)(28, 60)(29, 61)(30, 70)(31, 71)(32, 64)(33, 65)(34, 72)(35, 69)(36, 68)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {18, 18})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A^-1, A * Z^-1 * B^-1 * Z, S * B * S * A, (S * Z)^2, Z^2 * A * Z^2, A * Z^-1 * A^3 * Z^-1, Z * B^-1 * Z * A^-1 * B^-1 * A^-1 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 30, 48, 66, 12, 23, 41, 59, 5, 26, 44, 62, 8, 32, 50, 68, 14, 36, 54, 72, 18, 31, 49, 67, 13, 34, 52, 70, 16, 27, 45, 63, 9, 33, 51, 69, 15, 35, 53, 71, 17, 28, 46, 64, 10, 21, 39, 57, 3, 25, 43, 61, 7, 29, 47, 65, 11, 22, 40, 58, 4, 19, 37, 55)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 47)(7, 51)(8, 38)(9, 50)(10, 52)(11, 53)(12, 40)(13, 41)(14, 42)(15, 54)(16, 44)(17, 49)(18, 48)(19, 59)(20, 62)(21, 55)(22, 66)(23, 67)(24, 68)(25, 56)(26, 70)(27, 57)(28, 58)(29, 60)(30, 72)(31, 71)(32, 63)(33, 61)(34, 64)(35, 65)(36, 69)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A * Z * A^-1 * Z, A^17 ]
Map::
	R = (1, 36, 70, 104, 2, 35, 69, 103)(3, 39, 73, 107, 5, 37, 71, 105)(4, 40, 74, 108, 6, 38, 72, 106)(7, 43, 77, 111, 9, 41, 75, 109)(8, 44, 78, 112, 10, 42, 76, 110)(11, 47, 81, 115, 13, 45, 79, 113)(12, 48, 82, 116, 14, 46, 80, 114)(15, 51, 85, 119, 17, 49, 83, 117)(16, 52, 86, 120, 18, 50, 84, 118)(19, 55, 89, 123, 21, 53, 87, 121)(20, 56, 90, 124, 22, 54, 88, 122)(23, 59, 93, 127, 25, 57, 91, 125)(24, 60, 94, 128, 26, 58, 92, 126)(27, 63, 97, 131, 29, 61, 95, 129)(28, 64, 98, 132, 30, 62, 96, 130)(31, 67, 101, 135, 33, 65, 99, 133)(32, 68, 102, 136, 34, 66, 100, 134)
	L = (1, 71)(2, 73)(3, 75)(4, 69)(5, 77)(6, 70)(7, 79)(8, 72)(9, 81)(10, 74)(11, 83)(12, 76)(13, 85)(14, 78)(15, 87)(16, 80)(17, 89)(18, 82)(19, 91)(20, 84)(21, 93)(22, 86)(23, 95)(24, 88)(25, 97)(26, 90)(27, 99)(28, 92)(29, 101)(30, 94)(31, 100)(32, 96)(33, 102)(34, 98)(35, 106)(36, 108)(37, 103)(38, 110)(39, 104)(40, 112)(41, 105)(42, 114)(43, 107)(44, 116)(45, 109)(46, 118)(47, 111)(48, 120)(49, 113)(50, 122)(51, 115)(52, 124)(53, 117)(54, 126)(55, 119)(56, 128)(57, 121)(58, 130)(59, 123)(60, 132)(61, 125)(62, 134)(63, 127)(64, 136)(65, 129)(66, 133)(67, 131)(68, 135)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D34 (small group id <34, 1>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^17 ]
Map::
	R = (1, 36, 70, 104, 2, 35, 69, 103)(3, 39, 73, 107, 5, 37, 71, 105)(4, 40, 74, 108, 6, 38, 72, 106)(7, 43, 77, 111, 9, 41, 75, 109)(8, 44, 78, 112, 10, 42, 76, 110)(11, 47, 81, 115, 13, 45, 79, 113)(12, 48, 82, 116, 14, 46, 80, 114)(15, 59, 93, 127, 25, 49, 83, 117)(16, 61, 95, 129, 27, 50, 84, 118)(17, 64, 98, 132, 30, 51, 85, 119)(18, 66, 100, 134, 32, 52, 86, 120)(19, 67, 101, 135, 33, 53, 87, 121)(20, 62, 96, 130, 28, 54, 88, 122)(21, 63, 97, 131, 29, 55, 89, 123)(22, 65, 99, 133, 31, 56, 90, 124)(23, 68, 102, 136, 34, 57, 91, 125)(24, 60, 94, 128, 26, 58, 92, 126)
	L = (1, 71)(2, 72)(3, 69)(4, 70)(5, 75)(6, 76)(7, 73)(8, 74)(9, 79)(10, 80)(11, 77)(12, 78)(13, 83)(14, 88)(15, 81)(16, 96)(17, 93)(18, 98)(19, 95)(20, 82)(21, 100)(22, 101)(23, 97)(24, 99)(25, 85)(26, 102)(27, 87)(28, 84)(29, 91)(30, 86)(31, 92)(32, 89)(33, 90)(34, 94)(35, 105)(36, 106)(37, 103)(38, 104)(39, 109)(40, 110)(41, 107)(42, 108)(43, 113)(44, 114)(45, 111)(46, 112)(47, 117)(48, 122)(49, 115)(50, 130)(51, 127)(52, 132)(53, 129)(54, 116)(55, 134)(56, 135)(57, 131)(58, 133)(59, 119)(60, 136)(61, 121)(62, 118)(63, 125)(64, 120)(65, 126)(66, 123)(67, 124)(68, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D34 (small group id <34, 1>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, A * Z * B^-1 * Z, A^9 * B^-8 ]
Map:: non-degenerate
	R = (1, 36, 70, 104, 2, 35, 69, 103)(3, 40, 74, 108, 6, 37, 71, 105)(4, 39, 73, 107, 5, 38, 72, 106)(7, 44, 78, 112, 10, 41, 75, 109)(8, 43, 77, 111, 9, 42, 76, 110)(11, 48, 82, 116, 14, 45, 79, 113)(12, 47, 81, 115, 13, 46, 80, 114)(15, 52, 86, 120, 18, 49, 83, 117)(16, 51, 85, 119, 17, 50, 84, 118)(19, 56, 90, 124, 22, 53, 87, 121)(20, 55, 89, 123, 21, 54, 88, 122)(23, 60, 94, 128, 26, 57, 91, 125)(24, 59, 93, 127, 25, 58, 92, 126)(27, 64, 98, 132, 30, 61, 95, 129)(28, 63, 97, 131, 29, 62, 96, 130)(31, 68, 102, 136, 34, 65, 99, 133)(32, 67, 101, 135, 33, 66, 100, 134)
	L = (1, 71)(2, 73)(3, 75)(4, 69)(5, 77)(6, 70)(7, 79)(8, 72)(9, 81)(10, 74)(11, 83)(12, 76)(13, 85)(14, 78)(15, 87)(16, 80)(17, 89)(18, 82)(19, 91)(20, 84)(21, 93)(22, 86)(23, 95)(24, 88)(25, 97)(26, 90)(27, 99)(28, 92)(29, 101)(30, 94)(31, 100)(32, 96)(33, 102)(34, 98)(35, 105)(36, 107)(37, 109)(38, 103)(39, 111)(40, 104)(41, 113)(42, 106)(43, 115)(44, 108)(45, 117)(46, 110)(47, 119)(48, 112)(49, 121)(50, 114)(51, 123)(52, 116)(53, 125)(54, 118)(55, 127)(56, 120)(57, 129)(58, 122)(59, 131)(60, 124)(61, 133)(62, 126)(63, 135)(64, 128)(65, 134)(66, 130)(67, 136)(68, 132)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C34 (small group id <34, 2>)
Aut   = C34 x C2 (small group id <68, 5>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * A * S * B, (S * Z)^2, B * Z * B^-1 * Z, A * Z * A^-1 * Z, A^9 * B^-8 ]
Map:: non-degenerate
	R = (1, 36, 70, 104, 2, 35, 69, 103)(3, 39, 73, 107, 5, 37, 71, 105)(4, 40, 74, 108, 6, 38, 72, 106)(7, 43, 77, 111, 9, 41, 75, 109)(8, 44, 78, 112, 10, 42, 76, 110)(11, 47, 81, 115, 13, 45, 79, 113)(12, 48, 82, 116, 14, 46, 80, 114)(15, 51, 85, 119, 17, 49, 83, 117)(16, 52, 86, 120, 18, 50, 84, 118)(19, 55, 89, 123, 21, 53, 87, 121)(20, 56, 90, 124, 22, 54, 88, 122)(23, 59, 93, 127, 25, 57, 91, 125)(24, 60, 94, 128, 26, 58, 92, 126)(27, 63, 97, 131, 29, 61, 95, 129)(28, 64, 98, 132, 30, 62, 96, 130)(31, 67, 101, 135, 33, 65, 99, 133)(32, 68, 102, 136, 34, 66, 100, 134)
	L = (1, 71)(2, 73)(3, 75)(4, 69)(5, 77)(6, 70)(7, 79)(8, 72)(9, 81)(10, 74)(11, 83)(12, 76)(13, 85)(14, 78)(15, 87)(16, 80)(17, 89)(18, 82)(19, 91)(20, 84)(21, 93)(22, 86)(23, 95)(24, 88)(25, 97)(26, 90)(27, 99)(28, 92)(29, 101)(30, 94)(31, 100)(32, 96)(33, 102)(34, 98)(35, 105)(36, 107)(37, 109)(38, 103)(39, 111)(40, 104)(41, 113)(42, 106)(43, 115)(44, 108)(45, 117)(46, 110)(47, 119)(48, 112)(49, 121)(50, 114)(51, 123)(52, 116)(53, 125)(54, 118)(55, 127)(56, 120)(57, 129)(58, 122)(59, 131)(60, 124)(61, 133)(62, 126)(63, 135)(64, 128)(65, 134)(66, 130)(67, 136)(68, 132)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.14 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ 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 * Y1^9, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 17, 36, 13, 32, 9, 28, 5, 24, 3, 22, 7, 26, 11, 30, 15, 34, 19, 38, 16, 35, 12, 31, 8, 27, 4, 23)(39, 58, 41, 60, 40, 59, 45, 64, 44, 63, 49, 68, 48, 67, 53, 72, 52, 71, 57, 76, 56, 75, 54, 73, 55, 74, 50, 69, 51, 70, 46, 65, 47, 66, 42, 61, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.15 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-9, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 16, 35, 12, 31, 8, 27, 3, 22, 5, 24, 7, 26, 11, 30, 15, 34, 19, 38, 17, 36, 13, 32, 9, 28, 4, 23)(39, 58, 41, 60, 42, 61, 46, 65, 47, 66, 50, 69, 51, 70, 54, 73, 55, 74, 56, 75, 57, 76, 52, 71, 53, 72, 48, 67, 49, 68, 44, 63, 45, 64, 40, 59, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.16 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^6, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 12, 31, 17, 36, 11, 30, 5, 24, 8, 27, 14, 33, 18, 37, 19, 38, 15, 34, 9, 28, 3, 22, 7, 26, 13, 32, 16, 35, 10, 29, 4, 23)(39, 58, 41, 60, 46, 65, 40, 59, 45, 64, 52, 71, 44, 63, 51, 70, 56, 75, 50, 69, 54, 73, 57, 76, 55, 74, 48, 67, 53, 72, 49, 68, 42, 61, 47, 66, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.17 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-6, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 12, 31, 16, 35, 10, 29, 3, 22, 7, 26, 13, 32, 18, 37, 19, 38, 15, 34, 9, 28, 5, 24, 8, 27, 14, 33, 17, 36, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 42, 61, 48, 67, 53, 72, 49, 68, 54, 73, 57, 76, 55, 74, 50, 69, 56, 75, 52, 71, 44, 63, 51, 70, 46, 65, 40, 59, 45, 64, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.18 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-1 * Y1, Y2 * Y1^2 * Y2^2 * Y1^2, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 14, 33, 10, 29, 3, 22, 7, 26, 15, 34, 19, 38, 13, 32, 9, 28, 17, 36, 18, 37, 12, 31, 5, 24, 8, 27, 16, 35, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 46, 65, 40, 59, 45, 64, 55, 74, 54, 73, 44, 63, 53, 72, 56, 75, 49, 68, 52, 71, 57, 76, 50, 69, 42, 61, 48, 67, 51, 70, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.19 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ 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), Y2^2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1^-4 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 14, 33, 12, 31, 5, 24, 8, 27, 16, 35, 18, 37, 9, 28, 13, 32, 17, 36, 19, 38, 10, 29, 3, 22, 7, 26, 15, 34, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 50, 69, 42, 61, 48, 67, 56, 75, 52, 71, 49, 68, 57, 76, 54, 73, 44, 63, 53, 72, 55, 74, 46, 65, 40, 59, 45, 64, 51, 70, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.20 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ 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), Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^5 * Y1^2, Y2 * Y1 * Y2^3 * Y1 * Y2, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 9, 28, 15, 34, 19, 38, 17, 36, 12, 31, 5, 24, 8, 27, 10, 29, 3, 22, 7, 26, 14, 33, 16, 35, 18, 37, 13, 32, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 54, 73, 55, 74, 49, 68, 46, 65, 40, 59, 45, 64, 53, 72, 56, 75, 50, 69, 42, 61, 48, 67, 44, 63, 52, 71, 57, 76, 51, 70, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.21 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2 * Y1 * Y2 * Y1^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-5 * Y1^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 20, 2, 21, 6, 25, 13, 32, 15, 34, 16, 35, 18, 37, 10, 29, 3, 22, 7, 26, 12, 31, 5, 24, 8, 27, 14, 33, 19, 38, 17, 36, 9, 28, 11, 30, 4, 23)(39, 58, 41, 60, 47, 66, 54, 73, 52, 71, 44, 63, 50, 69, 42, 61, 48, 67, 55, 74, 53, 72, 46, 65, 40, 59, 45, 64, 49, 68, 56, 75, 57, 76, 51, 70, 43, 62)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.22 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y2^2, Y1 * Y3^-2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-9, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 10, 29, 14, 33, 18, 37, 16, 35, 12, 31, 8, 27, 3, 22, 4, 23, 7, 26, 11, 30, 15, 34, 19, 38, 17, 36, 13, 32, 9, 28, 5, 24)(39, 58, 41, 60, 43, 62, 46, 65, 47, 66, 50, 69, 51, 70, 54, 73, 55, 74, 56, 75, 57, 76, 52, 71, 53, 72, 48, 67, 49, 68, 44, 63, 45, 64, 40, 59, 42, 61)
	L = (1, 42)(2, 45)(3, 39)(4, 40)(5, 41)(6, 49)(7, 44)(8, 43)(9, 46)(10, 53)(11, 48)(12, 47)(13, 50)(14, 57)(15, 52)(16, 51)(17, 54)(18, 55)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.45
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.23 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3^3 * Y1^-1, (R * Y1)^2, (Y1, Y2^-1), R * Y2 * R * Y3^-1, Y1^2 * Y3 * Y1^4, Y3^-2 * Y2^17, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 12, 31, 16, 35, 10, 29, 3, 22, 7, 26, 13, 32, 18, 37, 19, 38, 15, 34, 9, 28, 4, 23, 8, 27, 14, 33, 17, 36, 11, 30, 5, 24)(39, 58, 41, 60, 47, 66, 43, 62, 48, 67, 53, 72, 49, 68, 54, 73, 57, 76, 55, 74, 50, 69, 56, 75, 52, 71, 44, 63, 51, 70, 46, 65, 40, 59, 45, 64, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 45)(5, 47)(6, 52)(7, 40)(8, 51)(9, 41)(10, 43)(11, 53)(12, 55)(13, 44)(14, 56)(15, 48)(16, 49)(17, 57)(18, 50)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.75
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.24 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y1, Y2 * Y1^-1 * Y2 * Y3^-1 * Y2, Y3^-3 * Y1^-1 * Y3^-1, Y1^-5 * Y3^-1, Y1^2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1, Y1^2 * Y2 * Y1^2 * Y3^-2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 14, 33, 10, 29, 3, 22, 7, 26, 15, 34, 18, 37, 11, 30, 9, 28, 17, 36, 19, 38, 12, 31, 4, 23, 8, 27, 16, 35, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 46, 65, 40, 59, 45, 64, 55, 74, 54, 73, 44, 63, 53, 72, 57, 76, 51, 70, 52, 71, 56, 75, 50, 69, 43, 62, 48, 67, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 54)(7, 40)(8, 47)(9, 41)(10, 43)(11, 48)(12, 56)(13, 57)(14, 51)(15, 44)(16, 55)(17, 45)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.33
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.25 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y2 * Y1^-1, R * Y2 * R * Y3^-1, Y2^-3 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-4, Y1^2 * Y3 * Y1^2 * Y2^-2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 14, 33, 12, 31, 4, 23, 8, 27, 16, 35, 18, 37, 9, 28, 11, 30, 17, 36, 19, 38, 10, 29, 3, 22, 7, 26, 15, 34, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 50, 69, 43, 62, 48, 67, 56, 75, 52, 71, 51, 70, 57, 76, 54, 73, 44, 63, 53, 72, 55, 74, 46, 65, 40, 59, 45, 64, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 54)(7, 40)(8, 55)(9, 41)(10, 43)(11, 45)(12, 47)(13, 52)(14, 56)(15, 44)(16, 57)(17, 53)(18, 48)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.61
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.26 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y2 * Y3, Y3 * Y2, (Y2^-1, Y1^-1), (Y1^-1, Y3^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^3 * Y3 * Y1, Y2^2 * Y3^-2 * Y1^-1 * Y2, Y1 * Y3^-1 * Y1^2 * Y2^2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 10, 29, 3, 22, 7, 26, 14, 33, 17, 36, 9, 28, 15, 34, 18, 37, 11, 30, 16, 35, 19, 38, 12, 31, 4, 23, 8, 27, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 54, 73, 46, 65, 40, 59, 45, 64, 53, 72, 57, 76, 51, 70, 44, 63, 52, 71, 56, 75, 50, 69, 43, 62, 48, 67, 55, 74, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 51)(7, 40)(8, 54)(9, 41)(10, 43)(11, 55)(12, 56)(13, 57)(14, 44)(15, 45)(16, 47)(17, 48)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.74
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.27 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1^3, Y3^3 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2^-3, Y2^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 12, 31, 4, 23, 8, 27, 14, 33, 17, 36, 11, 30, 16, 35, 18, 37, 9, 28, 15, 34, 19, 38, 10, 29, 3, 22, 7, 26, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 55, 74, 50, 69, 43, 62, 48, 67, 56, 75, 52, 71, 44, 63, 51, 70, 57, 76, 54, 73, 46, 65, 40, 59, 45, 64, 53, 72, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 52)(7, 40)(8, 54)(9, 41)(10, 43)(11, 53)(12, 55)(13, 44)(14, 56)(15, 45)(16, 57)(17, 47)(18, 48)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.50
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.28 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y2^-1, Y1), Y1^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1 * Y3^6, Y2^19, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 4, 23, 8, 27, 12, 31, 11, 30, 14, 33, 18, 37, 17, 36, 15, 34, 19, 38, 16, 35, 9, 28, 13, 32, 10, 29, 3, 22, 7, 26, 5, 24)(39, 58, 41, 60, 47, 66, 53, 72, 52, 71, 46, 65, 40, 59, 45, 64, 51, 70, 57, 76, 56, 75, 50, 69, 44, 63, 43, 62, 48, 67, 54, 73, 55, 74, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 44)(6, 50)(7, 40)(8, 52)(9, 41)(10, 43)(11, 55)(12, 56)(13, 45)(14, 53)(15, 47)(16, 48)(17, 54)(18, 57)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.53
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.29 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-2, (R * Y1)^2, Y1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1 * Y2^5, Y3 * Y2^-1 * Y1 * Y3^4 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-3 * Y2, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 3, 22, 7, 26, 12, 31, 9, 28, 13, 32, 18, 37, 15, 34, 16, 35, 19, 38, 17, 36, 10, 29, 14, 33, 11, 30, 4, 23, 8, 27, 5, 24)(39, 58, 41, 60, 47, 66, 53, 72, 55, 74, 49, 68, 43, 62, 44, 63, 50, 69, 56, 75, 57, 76, 52, 71, 46, 65, 40, 59, 45, 64, 51, 70, 54, 73, 48, 67, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 48)(5, 49)(6, 43)(7, 40)(8, 52)(9, 41)(10, 54)(11, 55)(12, 44)(13, 45)(14, 57)(15, 47)(16, 51)(17, 53)(18, 50)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.68
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.30 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, R * Y2 * R * Y3^-1, (Y3^-1, Y1^-1), (Y1, Y2^-1), (R * Y1)^2, Y1^3 * Y2^-2, Y3 * Y1 * Y3 * Y1^2, Y3^-1 * Y2^4 * Y1^2, Y1 * Y2 * Y1 * Y3^-4, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-2, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-19, Y2^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 9, 28, 15, 34, 17, 36, 19, 38, 12, 31, 4, 23, 8, 27, 10, 29, 3, 22, 7, 26, 14, 33, 16, 35, 18, 37, 11, 30, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 54, 73, 57, 76, 51, 70, 46, 65, 40, 59, 45, 64, 53, 72, 56, 75, 50, 69, 43, 62, 48, 67, 44, 63, 52, 71, 55, 74, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 48)(7, 40)(8, 51)(9, 41)(10, 43)(11, 55)(12, 56)(13, 57)(14, 44)(15, 45)(16, 47)(17, 52)(18, 53)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.60
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.31 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1^2 * Y3^-1 * Y1, Y1 * Y2 * Y1^2 * Y2, Y1 * Y2^-2 * Y1^-1 * Y2^2, Y1 * Y3 * Y2^-2 * Y1 * Y2^-2, Y1^2 * Y3 * Y1^2 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 11, 30, 15, 34, 16, 35, 18, 37, 10, 29, 3, 22, 7, 26, 12, 31, 4, 23, 8, 27, 14, 33, 19, 38, 17, 36, 9, 28, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 54, 73, 52, 71, 44, 63, 50, 69, 43, 62, 48, 67, 55, 74, 53, 72, 46, 65, 40, 59, 45, 64, 51, 70, 56, 75, 57, 76, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 52)(7, 40)(8, 53)(9, 41)(10, 43)(11, 57)(12, 44)(13, 45)(14, 54)(15, 55)(16, 47)(17, 48)(18, 51)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.76
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.32 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-1 * Y3^-1, (Y1^-1, Y2^-1), (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^2 * Y3^-2, Y2^2 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-4 * Y2 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1, Y2^19, (Y1^-1 * Y3^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 14, 33, 17, 36, 9, 28, 12, 31, 4, 23, 8, 27, 15, 34, 18, 37, 10, 29, 3, 22, 7, 26, 11, 30, 16, 35, 19, 38, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 51, 70, 56, 75, 52, 71, 54, 73, 46, 65, 40, 59, 45, 64, 50, 69, 43, 62, 48, 67, 55, 74, 57, 76, 53, 72, 44, 63, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 53)(7, 40)(8, 54)(9, 41)(10, 43)(11, 44)(12, 45)(13, 47)(14, 56)(15, 57)(16, 52)(17, 48)(18, 51)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.64
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.33 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y1, Y2^-1), R * Y2 * R * Y3^-1, (R * Y1)^2, (Y1^-1, Y3^-1), Y3 * Y1 * Y3 * Y1 * Y2^-1, Y1^4 * Y2 * Y1 * Y3^-1, Y2^-8 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 14, 33, 17, 36, 11, 30, 10, 29, 3, 22, 7, 26, 15, 34, 18, 37, 12, 31, 4, 23, 8, 27, 9, 28, 16, 35, 19, 38, 13, 32, 5, 24)(39, 58, 41, 60, 47, 66, 44, 63, 53, 72, 57, 76, 55, 74, 50, 69, 43, 62, 48, 67, 46, 65, 40, 59, 45, 64, 54, 73, 52, 71, 56, 75, 51, 70, 49, 68, 42, 61)
	L = (1, 42)(2, 46)(3, 39)(4, 49)(5, 50)(6, 47)(7, 40)(8, 48)(9, 41)(10, 43)(11, 51)(12, 55)(13, 56)(14, 54)(15, 44)(16, 45)(17, 57)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.24
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.34 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y3^-1 * Y1, R * Y2 * R * Y3^-1, (R * Y1)^2, (Y1, Y2^-1), Y1 * Y2^-8 * Y3, Y3^-16 * Y2^3, (Y3^-1 * Y1^-1)^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 4, 23, 6, 25, 9, 28, 10, 29, 13, 32, 14, 33, 17, 36, 18, 37, 19, 38, 15, 34, 16, 35, 11, 30, 12, 31, 7, 26, 8, 27, 3, 22, 5, 24)(39, 58, 41, 60, 45, 64, 49, 68, 53, 72, 56, 75, 52, 71, 48, 67, 44, 63, 40, 59, 43, 62, 46, 65, 50, 69, 54, 73, 57, 76, 55, 74, 51, 70, 47, 66, 42, 61)
	L = (1, 42)(2, 44)(3, 39)(4, 47)(5, 40)(6, 48)(7, 41)(8, 43)(9, 51)(10, 52)(11, 45)(12, 46)(13, 55)(14, 56)(15, 49)(16, 50)(17, 57)(18, 53)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.77
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.35 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^2 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3^4 * Y2^4, Y1 * Y2^9, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 6, 25, 7, 26, 10, 29, 11, 30, 14, 33, 15, 34, 18, 37, 19, 38, 16, 35, 17, 36, 12, 31, 13, 32, 8, 27, 9, 28, 4, 23, 5, 24)(39, 58, 41, 60, 45, 64, 49, 68, 53, 72, 57, 76, 55, 74, 51, 70, 47, 66, 43, 62, 40, 59, 44, 63, 48, 67, 52, 71, 56, 75, 54, 73, 50, 69, 46, 65, 42, 61)
	L = (1, 42)(2, 43)(3, 39)(4, 46)(5, 47)(6, 40)(7, 41)(8, 50)(9, 51)(10, 44)(11, 45)(12, 54)(13, 55)(14, 48)(15, 49)(16, 56)(17, 57)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.38
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.36 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y3^2 * Y1^3, Y1 * Y3^8, (Y3^-1 * Y1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 14, 33, 18, 37, 12, 31, 6, 25, 4, 23, 10, 29, 16, 35, 19, 38, 13, 32, 7, 26, 3, 22, 9, 28, 15, 34, 17, 36, 11, 30, 5, 24)(39, 58, 41, 60, 42, 61, 40, 59, 47, 66, 48, 67, 46, 65, 53, 72, 54, 73, 52, 71, 55, 74, 57, 76, 56, 75, 49, 68, 51, 70, 50, 69, 43, 62, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 40)(4, 47)(5, 44)(6, 41)(7, 39)(8, 54)(9, 46)(10, 53)(11, 50)(12, 45)(13, 43)(14, 57)(15, 52)(16, 55)(17, 56)(18, 51)(19, 49)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.40
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.37 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^5 * Y2^-1, (Y3^-1 * Y1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 16, 35, 12, 31, 3, 22, 9, 28, 17, 36, 15, 34, 7, 26, 4, 23, 10, 29, 18, 37, 14, 33, 6, 25, 11, 30, 19, 38, 13, 32, 5, 24)(39, 58, 41, 60, 42, 61, 49, 68, 40, 59, 47, 66, 48, 67, 57, 76, 46, 65, 55, 74, 56, 75, 51, 70, 54, 73, 53, 72, 52, 71, 43, 62, 50, 69, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 49)(4, 40)(5, 45)(6, 41)(7, 39)(8, 56)(9, 57)(10, 46)(11, 47)(12, 44)(13, 53)(14, 50)(15, 43)(16, 52)(17, 51)(18, 54)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.42
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.38 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3^2 * Y1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 16, 35, 12, 31, 6, 25, 10, 29, 18, 37, 14, 33, 4, 23, 7, 26, 11, 30, 19, 38, 13, 32, 3, 22, 9, 28, 17, 36, 15, 34, 5, 24)(39, 58, 41, 60, 42, 61, 50, 69, 43, 62, 51, 70, 52, 71, 54, 73, 53, 72, 57, 76, 56, 75, 46, 65, 55, 74, 49, 68, 48, 67, 40, 59, 47, 66, 45, 64, 44, 63)
	L = (1, 42)(2, 45)(3, 50)(4, 43)(5, 52)(6, 41)(7, 39)(8, 49)(9, 44)(10, 47)(11, 40)(12, 51)(13, 54)(14, 53)(15, 56)(16, 57)(17, 48)(18, 55)(19, 46)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.35
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.39 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y1^-1 * Y2 * Y3^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 13, 32, 3, 22, 9, 28, 18, 37, 14, 33, 4, 23, 10, 29, 17, 36, 7, 26, 12, 31, 19, 38, 16, 35, 6, 25, 11, 30, 15, 34, 5, 24)(39, 58, 41, 60, 42, 61, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 57, 76, 53, 72, 46, 65, 56, 75, 55, 74, 54, 73, 43, 62, 51, 70, 52, 71, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 50)(4, 49)(5, 52)(6, 41)(7, 39)(8, 55)(9, 57)(10, 53)(11, 47)(12, 40)(13, 45)(14, 44)(15, 56)(16, 51)(17, 43)(18, 54)(19, 46)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.44
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.40 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3 * Y2^-2, Y3^2 * Y2 * Y1, (Y1, Y2^-1), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1^-2, Y2 * Y1^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 15, 34, 6, 25, 11, 30, 19, 38, 13, 32, 7, 26, 12, 31, 16, 35, 4, 23, 10, 29, 18, 37, 14, 33, 3, 22, 9, 28, 17, 36, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 53, 72, 43, 62, 52, 71, 54, 73, 57, 76, 46, 65, 55, 74, 56, 75, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 53)(5, 54)(6, 41)(7, 39)(8, 56)(9, 45)(10, 44)(11, 47)(12, 40)(13, 43)(14, 57)(15, 52)(16, 46)(17, 50)(18, 49)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.36
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.41 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (Y1^-1, Y2^-1), Y1 * Y2 * Y1^2, Y3^3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 6, 25, 11, 30, 16, 35, 7, 26, 12, 31, 18, 37, 17, 36, 13, 32, 19, 38, 15, 34, 4, 23, 10, 29, 14, 33, 3, 22, 9, 28, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 57, 76, 56, 75, 54, 73, 46, 65, 43, 62, 52, 71, 53, 72, 55, 74, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 50)(5, 53)(6, 41)(7, 39)(8, 52)(9, 57)(10, 56)(11, 47)(12, 40)(13, 49)(14, 55)(15, 45)(16, 43)(17, 44)(18, 46)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.46
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.42 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^-3 * Y2, Y1 * Y3^3, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1) ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 3, 22, 9, 28, 15, 34, 4, 23, 10, 29, 18, 37, 13, 32, 17, 36, 19, 38, 14, 33, 7, 26, 12, 31, 16, 35, 6, 25, 11, 30, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 52, 71, 54, 73, 43, 62, 46, 65, 53, 72, 56, 75, 57, 76, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 55, 74, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 52)(5, 53)(6, 41)(7, 39)(8, 56)(9, 55)(10, 45)(11, 47)(12, 40)(13, 54)(14, 43)(15, 57)(16, 46)(17, 44)(18, 50)(19, 49)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.37
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.43 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (Y1, Y2^-1), Y1^-1 * Y3 * Y1^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^3 * Y1^-1 * Y2, (Y1^-1 * Y3^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 4, 23, 10, 29, 18, 37, 15, 34, 16, 35, 6, 25, 11, 30, 14, 33, 3, 22, 9, 28, 19, 38, 13, 32, 17, 36, 7, 26, 12, 31, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 53, 72, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 55, 74, 54, 73, 43, 62, 52, 71, 46, 65, 57, 76, 56, 75, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 53)(5, 46)(6, 41)(7, 39)(8, 56)(9, 55)(10, 54)(11, 47)(12, 40)(13, 50)(14, 57)(15, 49)(16, 52)(17, 43)(18, 44)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.47
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.44 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3 * Y1^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y2 * Y1 * Y2 * Y1^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 7, 26, 12, 31, 13, 32, 19, 38, 14, 33, 3, 22, 9, 28, 17, 36, 6, 25, 11, 30, 15, 34, 18, 37, 16, 35, 4, 23, 10, 29, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 53, 72, 46, 65, 55, 74, 43, 62, 52, 71, 54, 73, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 57, 76, 56, 75, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 53)(5, 54)(6, 41)(7, 39)(8, 43)(9, 57)(10, 56)(11, 47)(12, 40)(13, 46)(14, 50)(15, 55)(16, 49)(17, 52)(18, 44)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.39
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.45 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^-2 * Y3^-1 * Y2^-1, (Y1, Y2^-1), Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3^2, Y1^12 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 18, 37, 16, 35, 4, 23, 10, 29, 6, 25, 11, 30, 17, 36, 15, 34, 14, 33, 3, 22, 9, 28, 7, 26, 12, 31, 19, 38, 13, 32, 5, 24)(39, 58, 41, 60, 42, 61, 51, 70, 53, 72, 56, 75, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 43, 62, 52, 71, 54, 73, 57, 76, 55, 74, 46, 65, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 53)(5, 54)(6, 41)(7, 39)(8, 44)(9, 43)(10, 52)(11, 47)(12, 40)(13, 56)(14, 57)(15, 50)(16, 55)(17, 45)(18, 49)(19, 46)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.22
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.46 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3 * Y1^-2 * Y2, (Y1^-1, Y2^-1), Y2^-1 * Y1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 18, 37, 16, 35, 7, 26, 12, 31, 3, 22, 9, 28, 13, 32, 17, 36, 15, 34, 6, 25, 11, 30, 4, 23, 10, 29, 19, 38, 14, 33, 5, 24)(39, 58, 41, 60, 42, 61, 46, 65, 51, 70, 57, 76, 54, 73, 53, 72, 43, 62, 50, 69, 49, 68, 40, 59, 47, 66, 48, 67, 56, 75, 55, 74, 52, 71, 45, 64, 44, 63)
	L = (1, 42)(2, 48)(3, 46)(4, 51)(5, 49)(6, 41)(7, 39)(8, 57)(9, 56)(10, 55)(11, 47)(12, 40)(13, 54)(14, 44)(15, 50)(16, 43)(17, 45)(18, 52)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.41
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.47 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, Y2^2 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3^-4 * Y2^-1, (Y1^-1 * Y3^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 4, 23, 9, 28, 11, 30, 16, 35, 12, 31, 17, 36, 19, 38, 15, 34, 18, 37, 14, 33, 13, 32, 7, 26, 10, 29, 6, 25, 5, 24)(39, 58, 41, 60, 42, 61, 49, 68, 50, 69, 57, 76, 56, 75, 51, 70, 48, 67, 43, 62, 40, 59, 46, 65, 47, 66, 54, 73, 55, 74, 53, 72, 52, 71, 45, 64, 44, 63)
	L = (1, 42)(2, 47)(3, 49)(4, 50)(5, 46)(6, 41)(7, 39)(8, 54)(9, 55)(10, 40)(11, 57)(12, 56)(13, 43)(14, 44)(15, 45)(16, 53)(17, 52)(18, 48)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.43
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.48 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-5 * Y2^-1, Y2 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 16, 35, 13, 32, 6, 25, 11, 30, 19, 38, 15, 34, 7, 26, 4, 23, 10, 29, 18, 37, 12, 31, 3, 22, 9, 28, 17, 36, 14, 33, 5, 24)(39, 58, 41, 60, 45, 64, 51, 70, 43, 62, 50, 69, 53, 72, 54, 73, 52, 71, 56, 75, 57, 76, 46, 65, 55, 74, 48, 67, 49, 68, 40, 59, 47, 66, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 40)(5, 45)(6, 47)(7, 39)(8, 56)(9, 49)(10, 46)(11, 55)(12, 51)(13, 41)(14, 53)(15, 43)(16, 50)(17, 57)(18, 54)(19, 52)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.55
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.49 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, (Y3^-1, Y1), Y1^-1 * Y2^-1 * Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^2, Y2^-1 * Y1^-4, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 16, 35, 6, 25, 11, 30, 18, 37, 14, 33, 4, 23, 10, 29, 17, 36, 7, 26, 12, 31, 19, 38, 13, 32, 3, 22, 9, 28, 15, 34, 5, 24)(39, 58, 41, 60, 45, 64, 52, 71, 54, 73, 43, 62, 51, 70, 55, 74, 56, 75, 46, 65, 53, 72, 57, 76, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 47)(5, 52)(6, 50)(7, 39)(8, 55)(9, 49)(10, 53)(11, 57)(12, 40)(13, 54)(14, 41)(15, 56)(16, 45)(17, 43)(18, 51)(19, 46)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.58
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.50 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^-3 * Y2^-1, (Y3, Y1), Y1^-1 * Y3^-3, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 6, 25, 11, 30, 16, 35, 4, 23, 10, 29, 18, 37, 17, 36, 14, 33, 19, 38, 15, 34, 7, 26, 12, 31, 13, 32, 3, 22, 9, 28, 5, 24)(39, 58, 41, 60, 45, 64, 52, 71, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 57, 76, 56, 75, 54, 73, 46, 65, 43, 62, 51, 70, 53, 72, 55, 74, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 53)(5, 54)(6, 55)(7, 39)(8, 56)(9, 49)(10, 45)(11, 52)(12, 40)(13, 46)(14, 41)(15, 43)(16, 57)(17, 51)(18, 50)(19, 47)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.27
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.51 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1^-1, Y3^-1), Y3^-3 * Y1, Y2 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 3, 22, 9, 28, 17, 36, 7, 26, 12, 31, 18, 37, 13, 32, 15, 34, 19, 38, 14, 33, 4, 23, 10, 29, 16, 35, 6, 25, 11, 30, 5, 24)(39, 58, 41, 60, 45, 64, 51, 70, 52, 71, 54, 73, 43, 62, 46, 65, 55, 74, 56, 75, 57, 76, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 53, 72, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 50)(5, 52)(6, 53)(7, 39)(8, 54)(9, 49)(10, 56)(11, 57)(12, 40)(13, 41)(14, 45)(15, 47)(16, 51)(17, 43)(18, 46)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.63
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.52 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y1, Y2^-1), (Y1^-1, Y3), Y1^-2 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^3 * Y1, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-2 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 7, 26, 12, 31, 17, 36, 19, 38, 18, 37, 6, 25, 11, 30, 13, 32, 3, 22, 9, 28, 15, 34, 14, 33, 16, 35, 4, 23, 10, 29, 5, 24)(39, 58, 41, 60, 45, 64, 52, 71, 57, 76, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 54, 73, 56, 75, 43, 62, 51, 70, 46, 65, 53, 72, 55, 74, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 53)(5, 54)(6, 55)(7, 39)(8, 43)(9, 49)(10, 52)(11, 57)(12, 40)(13, 56)(14, 41)(15, 51)(16, 47)(17, 46)(18, 50)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.65
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.53 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3 * Y1^-3, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3^2 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3 * Y1, Y1^-1 * Y3 * Y2^-1 * Y3^2, Y2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 4, 23, 10, 29, 14, 33, 15, 34, 13, 32, 3, 22, 9, 28, 17, 36, 6, 25, 11, 30, 19, 38, 16, 35, 18, 37, 7, 26, 12, 31, 5, 24)(39, 58, 41, 60, 45, 64, 52, 71, 57, 76, 46, 65, 55, 74, 43, 62, 51, 70, 56, 75, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 53, 72, 54, 73, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 53)(5, 46)(6, 54)(7, 39)(8, 52)(9, 49)(10, 51)(11, 56)(12, 40)(13, 55)(14, 41)(15, 47)(16, 50)(17, 57)(18, 43)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.28
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.54 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1^2 * Y3^-1 * Y2, (Y1^-1, Y2), Y3 * Y1^-1 * Y2^-1 * Y1^-1, (Y3, Y1^-1), Y3 * Y2^-1 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y1^12 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 18, 37, 16, 35, 7, 26, 12, 31, 6, 25, 11, 30, 15, 34, 17, 36, 13, 32, 3, 22, 9, 28, 4, 23, 10, 29, 19, 38, 14, 33, 5, 24)(39, 58, 41, 60, 45, 64, 52, 71, 55, 74, 56, 75, 48, 67, 49, 68, 40, 59, 47, 66, 50, 69, 43, 62, 51, 70, 54, 73, 57, 76, 53, 72, 46, 65, 42, 61, 44, 63)
	L = (1, 42)(2, 48)(3, 44)(4, 53)(5, 47)(6, 46)(7, 39)(8, 57)(9, 49)(10, 55)(11, 56)(12, 40)(13, 50)(14, 41)(15, 54)(16, 43)(17, 45)(18, 52)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.71
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.55 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1 * Y2 * Y1, Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * 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 * Y3^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 9, 28, 4, 23, 8, 27, 13, 32, 17, 36, 12, 31, 16, 35, 19, 38, 15, 34, 18, 37, 11, 30, 14, 33, 7, 26, 10, 29, 3, 22, 5, 24)(39, 58, 41, 60, 45, 64, 49, 68, 53, 72, 54, 73, 55, 74, 46, 65, 47, 66, 40, 59, 43, 62, 48, 67, 52, 71, 56, 75, 57, 76, 50, 69, 51, 70, 42, 61, 44, 63)
	L = (1, 42)(2, 46)(3, 44)(4, 50)(5, 47)(6, 51)(7, 39)(8, 54)(9, 55)(10, 40)(11, 41)(12, 56)(13, 57)(14, 43)(15, 45)(16, 49)(17, 53)(18, 48)(19, 52)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.48
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y3 * Y2^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-5 * Y1^-1, Y3^2 * Y1^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 7, 26, 10, 29, 11, 30, 16, 35, 15, 34, 18, 37, 19, 38, 12, 31, 17, 36, 14, 33, 13, 32, 4, 23, 9, 28, 6, 25, 5, 24)(39, 58, 41, 60, 45, 64, 49, 68, 53, 72, 57, 76, 55, 74, 51, 70, 47, 66, 43, 62, 40, 59, 46, 65, 48, 67, 54, 73, 56, 75, 50, 69, 52, 71, 42, 61, 44, 63)
	L = (1, 42)(2, 47)(3, 44)(4, 50)(5, 51)(6, 52)(7, 39)(8, 43)(9, 55)(10, 40)(11, 41)(12, 54)(13, 57)(14, 56)(15, 45)(16, 46)(17, 53)(18, 48)(19, 49)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.70
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2, Y1 * Y2^-1 * Y3^-1, Y2^2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-3, Y3^5 * Y1, Y3^-6 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 16, 35, 7, 26, 3, 22, 9, 28, 18, 37, 17, 36, 12, 31, 11, 30, 13, 32, 19, 38, 15, 34, 6, 25, 4, 23, 10, 29, 14, 33, 5, 24)(39, 58, 41, 60, 49, 68, 42, 61, 40, 59, 47, 66, 51, 70, 48, 67, 46, 65, 56, 75, 57, 76, 52, 71, 54, 73, 55, 74, 53, 72, 43, 62, 45, 64, 50, 69, 44, 63)
	L = (1, 42)(2, 48)(3, 40)(4, 51)(5, 44)(6, 49)(7, 39)(8, 52)(9, 46)(10, 57)(11, 47)(12, 41)(13, 56)(14, 53)(15, 50)(16, 43)(17, 45)(18, 54)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.59
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3 * Y2^-1, Y2^2 * Y3 * Y1^-1, (Y2, Y1^-1), Y1^-1 * Y3^2 * Y2^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^3, Y3 * Y1^2 * Y2 * Y1, Y2 * Y1 * Y2^2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 13, 32, 3, 22, 9, 28, 17, 36, 7, 26, 12, 31, 18, 37, 19, 38, 14, 33, 4, 23, 10, 29, 16, 35, 6, 25, 11, 30, 15, 34, 5, 24)(39, 58, 41, 60, 50, 69, 42, 61, 49, 68, 40, 59, 47, 66, 56, 75, 48, 67, 53, 72, 46, 65, 55, 74, 57, 76, 54, 73, 43, 62, 51, 70, 45, 64, 52, 71, 44, 63)
	L = (1, 42)(2, 48)(3, 49)(4, 47)(5, 52)(6, 50)(7, 39)(8, 54)(9, 53)(10, 55)(11, 56)(12, 40)(13, 44)(14, 41)(15, 57)(16, 45)(17, 43)(18, 46)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.49
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y2^-1, Y3^-1), (Y2^-1, Y1), Y1^-3 * Y2^-1, Y3 * Y2^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 6, 25, 11, 30, 18, 37, 15, 34, 13, 32, 16, 35, 7, 26, 4, 23, 10, 29, 17, 36, 12, 31, 19, 38, 14, 33, 3, 22, 9, 28, 5, 24)(39, 58, 41, 60, 50, 69, 42, 61, 51, 70, 49, 68, 40, 59, 47, 66, 57, 76, 48, 67, 54, 73, 56, 75, 46, 65, 43, 62, 52, 71, 55, 74, 45, 64, 53, 72, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 40)(5, 45)(6, 50)(7, 39)(8, 55)(9, 54)(10, 46)(11, 57)(12, 49)(13, 47)(14, 53)(15, 41)(16, 43)(17, 44)(18, 52)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.57
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, (Y1^-1, Y2), Y1^3 * Y2^-1, Y3^-1 * Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 3, 22, 9, 28, 18, 37, 12, 31, 17, 36, 15, 34, 4, 23, 7, 26, 11, 30, 13, 32, 14, 33, 19, 38, 16, 35, 6, 25, 10, 29, 5, 24)(39, 58, 41, 60, 50, 69, 42, 61, 51, 70, 54, 73, 43, 62, 46, 65, 56, 75, 53, 72, 49, 68, 57, 76, 48, 67, 40, 59, 47, 66, 55, 74, 45, 64, 52, 71, 44, 63)
	L = (1, 42)(2, 45)(3, 51)(4, 43)(5, 53)(6, 50)(7, 39)(8, 49)(9, 52)(10, 55)(11, 40)(12, 54)(13, 46)(14, 41)(15, 48)(16, 56)(17, 44)(18, 57)(19, 47)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.30
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), Y3^-1 * Y1 * Y3^-1 * Y2^-1, (Y3, Y1^-1), Y1 * Y2^-1 * Y3^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2, Y2 * Y1^3 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-2, Y1 * Y2^-1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 13, 32, 19, 38, 7, 26, 12, 31, 18, 37, 6, 25, 11, 30, 14, 33, 3, 22, 9, 28, 16, 35, 4, 23, 10, 29, 15, 34, 17, 36, 5, 24)(39, 58, 41, 60, 51, 70, 42, 61, 50, 69, 55, 74, 49, 68, 40, 59, 47, 66, 57, 76, 48, 67, 56, 75, 43, 62, 52, 71, 46, 65, 54, 73, 45, 64, 53, 72, 44, 63)
	L = (1, 42)(2, 48)(3, 50)(4, 49)(5, 54)(6, 51)(7, 39)(8, 53)(9, 56)(10, 52)(11, 57)(12, 40)(13, 55)(14, 45)(15, 41)(16, 44)(17, 47)(18, 46)(19, 43)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.25
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, (Y3, Y2^-1), Y3 * Y2^-3, Y3 * Y1^-1 * Y3^2, (R * Y2)^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 9, 28, 14, 33, 16, 35, 7, 26, 10, 29, 17, 36, 18, 37, 19, 38, 12, 31, 15, 34, 4, 23, 8, 27, 11, 30, 13, 32, 3, 22, 5, 24)(39, 58, 41, 60, 49, 68, 42, 61, 50, 69, 56, 75, 48, 67, 54, 73, 47, 66, 40, 59, 43, 62, 51, 70, 46, 65, 53, 72, 57, 76, 55, 74, 45, 64, 52, 71, 44, 63)
	L = (1, 42)(2, 46)(3, 50)(4, 48)(5, 53)(6, 49)(7, 39)(8, 55)(9, 51)(10, 40)(11, 56)(12, 54)(13, 57)(14, 41)(15, 45)(16, 43)(17, 44)(18, 47)(19, 52)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.73
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, (Y3, Y2), (Y1^-1, Y3^-1), Y3^-1 * Y1^-1 * Y3^-2, Y3 * Y2^-3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^2 * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 11, 30, 15, 34, 4, 23, 9, 28, 12, 31, 18, 37, 19, 38, 17, 36, 14, 33, 7, 26, 10, 29, 13, 32, 16, 35, 6, 25, 5, 24)(39, 58, 41, 60, 49, 68, 42, 61, 50, 69, 57, 76, 52, 71, 48, 67, 54, 73, 43, 62, 40, 59, 46, 65, 53, 72, 47, 66, 56, 75, 55, 74, 45, 64, 51, 70, 44, 63)
	L = (1, 42)(2, 47)(3, 50)(4, 52)(5, 53)(6, 49)(7, 39)(8, 56)(9, 45)(10, 40)(11, 57)(12, 48)(13, 41)(14, 43)(15, 55)(16, 46)(17, 44)(18, 51)(19, 54)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.51
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (Y2, Y3), Y2 * Y3 * Y2^2, Y2 * Y1^-3, (R * Y3)^2, (Y2, Y3), (Y2^-1 * R)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 3, 22, 9, 28, 18, 37, 12, 31, 15, 34, 17, 36, 7, 26, 4, 23, 10, 29, 14, 33, 13, 32, 19, 38, 16, 35, 6, 25, 11, 30, 5, 24)(39, 58, 41, 60, 50, 69, 45, 64, 52, 71, 54, 73, 43, 62, 46, 65, 56, 75, 55, 74, 48, 67, 57, 76, 49, 68, 40, 59, 47, 66, 53, 72, 42, 61, 51, 70, 44, 63)
	L = (1, 42)(2, 48)(3, 51)(4, 40)(5, 45)(6, 53)(7, 39)(8, 52)(9, 57)(10, 46)(11, 55)(12, 44)(13, 47)(14, 41)(15, 49)(16, 50)(17, 43)(18, 54)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.32
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), (Y3^-1, Y2^-1), Y3^-1 * Y1 * Y2 * Y3^-1, (Y2, Y1^-1), Y2^-1 * Y3^-1 * Y2^-2, Y3^-1 * Y1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 14, 33, 19, 38, 7, 26, 12, 31, 15, 34, 3, 22, 9, 28, 18, 37, 6, 25, 11, 30, 16, 35, 4, 23, 10, 29, 13, 32, 17, 36, 5, 24)(39, 58, 41, 60, 51, 70, 45, 64, 54, 73, 46, 65, 56, 75, 43, 62, 53, 72, 48, 67, 57, 76, 49, 68, 40, 59, 47, 66, 55, 74, 50, 69, 42, 61, 52, 71, 44, 63)
	L = (1, 42)(2, 48)(3, 52)(4, 47)(5, 54)(6, 50)(7, 39)(8, 51)(9, 57)(10, 56)(11, 53)(12, 40)(13, 44)(14, 55)(15, 46)(16, 41)(17, 49)(18, 45)(19, 43)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.52
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y2^-3, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 9, 28, 12, 31, 16, 35, 4, 23, 8, 27, 17, 36, 18, 37, 19, 38, 14, 33, 15, 34, 7, 26, 10, 29, 11, 30, 13, 32, 3, 22, 5, 24)(39, 58, 41, 60, 49, 68, 45, 64, 52, 71, 56, 75, 46, 65, 54, 73, 47, 66, 40, 59, 43, 62, 51, 70, 48, 67, 53, 72, 57, 76, 55, 74, 42, 61, 50, 69, 44, 63)
	L = (1, 42)(2, 46)(3, 50)(4, 53)(5, 54)(6, 55)(7, 39)(8, 45)(9, 56)(10, 40)(11, 44)(12, 57)(13, 47)(14, 41)(15, 43)(16, 52)(17, 48)(18, 49)(19, 51)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.69
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, (Y3, Y1), Y3^3 * Y1^-1, Y2^2 * Y3 * Y2, (Y3, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 11, 30, 17, 36, 7, 26, 10, 29, 13, 32, 18, 37, 19, 38, 15, 34, 14, 33, 4, 23, 9, 28, 12, 31, 16, 35, 6, 25, 5, 24)(39, 58, 41, 60, 49, 68, 45, 64, 51, 70, 57, 76, 52, 71, 47, 66, 54, 73, 43, 62, 40, 59, 46, 65, 55, 74, 48, 67, 56, 75, 53, 72, 42, 61, 50, 69, 44, 63)
	L = (1, 42)(2, 47)(3, 50)(4, 48)(5, 52)(6, 53)(7, 39)(8, 54)(9, 51)(10, 40)(11, 44)(12, 56)(13, 41)(14, 45)(15, 55)(16, 57)(17, 43)(18, 46)(19, 49)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.72
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2^2, Y1^3 * Y2, Y2 * Y3 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2^-2, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, (Y2^-1 * R)^2, Y2^4 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 6, 25, 11, 30, 19, 38, 16, 35, 4, 23, 10, 29, 14, 33, 17, 36, 18, 37, 7, 26, 12, 31, 15, 34, 13, 32, 3, 22, 9, 28, 5, 24)(39, 58, 41, 60, 50, 69, 55, 74, 42, 61, 49, 68, 40, 59, 47, 66, 53, 72, 56, 75, 48, 67, 57, 76, 46, 65, 43, 62, 51, 70, 45, 64, 52, 71, 54, 73, 44, 63)
	L = (1, 42)(2, 48)(3, 49)(4, 53)(5, 54)(6, 55)(7, 39)(8, 52)(9, 57)(10, 51)(11, 56)(12, 40)(13, 44)(14, 41)(15, 46)(16, 50)(17, 47)(18, 43)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.29
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1^-1), Y3^-1 * Y2^-1 * Y1^-2, (Y1^-1, Y2^-1), (Y3, Y2^-1), Y3^-1 * Y2 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1^6 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 13, 32, 19, 38, 16, 35, 4, 23, 10, 29, 6, 25, 11, 30, 15, 34, 3, 22, 9, 28, 7, 26, 12, 31, 18, 37, 17, 36, 14, 33, 5, 24)(39, 58, 41, 60, 51, 70, 50, 69, 42, 61, 52, 71, 49, 68, 40, 59, 47, 66, 57, 76, 56, 75, 48, 67, 43, 62, 53, 72, 46, 65, 45, 64, 54, 73, 55, 74, 44, 63)
	L = (1, 42)(2, 48)(3, 52)(4, 47)(5, 54)(6, 50)(7, 39)(8, 44)(9, 43)(10, 45)(11, 56)(12, 40)(13, 49)(14, 57)(15, 55)(16, 41)(17, 51)(18, 46)(19, 53)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.66
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y2^-1, (Y2^-1, Y3^-1), Y2 * Y3^2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-4 * Y3, (Y3^-1 * Y1^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 9, 28, 17, 36, 19, 38, 13, 32, 16, 35, 7, 26, 10, 29, 14, 33, 4, 23, 8, 27, 15, 34, 18, 37, 11, 30, 12, 31, 3, 22, 5, 24)(39, 58, 41, 60, 49, 68, 53, 72, 42, 61, 48, 67, 54, 73, 57, 76, 47, 66, 40, 59, 43, 62, 50, 69, 56, 75, 46, 65, 52, 71, 45, 64, 51, 70, 55, 74, 44, 63)
	L = (1, 42)(2, 46)(3, 48)(4, 47)(5, 52)(6, 53)(7, 39)(8, 55)(9, 56)(10, 40)(11, 54)(12, 45)(13, 41)(14, 44)(15, 57)(16, 43)(17, 49)(18, 51)(19, 50)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.56
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3 * Y1 * Y2 * Y3, Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^3 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 11, 30, 18, 37, 16, 35, 15, 34, 4, 23, 9, 28, 12, 31, 7, 26, 10, 29, 13, 32, 19, 38, 17, 36, 14, 33, 6, 25, 5, 24)(39, 58, 41, 60, 49, 68, 54, 73, 42, 61, 50, 69, 48, 67, 57, 76, 52, 71, 43, 62, 40, 59, 46, 65, 56, 75, 53, 72, 47, 66, 45, 64, 51, 70, 55, 74, 44, 63)
	L = (1, 42)(2, 47)(3, 50)(4, 52)(5, 53)(6, 54)(7, 39)(8, 45)(9, 44)(10, 40)(11, 48)(12, 43)(13, 41)(14, 56)(15, 55)(16, 57)(17, 49)(18, 51)(19, 46)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.54
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2, (R * Y1)^2, Y2^3 * Y1, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y2^-1 * Y3^-2, Y3^-3 * Y1^-1 * Y3^-1, Y1^-5 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 18, 37, 16, 35, 7, 26, 3, 22, 9, 28, 14, 33, 13, 32, 17, 36, 12, 31, 11, 30, 6, 25, 4, 23, 10, 29, 19, 38, 15, 34, 5, 24)(39, 58, 41, 60, 49, 68, 43, 62, 45, 64, 50, 69, 53, 72, 54, 73, 55, 74, 57, 76, 56, 75, 51, 70, 48, 67, 46, 65, 52, 71, 42, 61, 40, 59, 47, 66, 44, 63)
	L = (1, 42)(2, 48)(3, 40)(4, 51)(5, 44)(6, 52)(7, 39)(8, 57)(9, 46)(10, 55)(11, 47)(12, 41)(13, 54)(14, 56)(15, 49)(16, 43)(17, 45)(18, 53)(19, 50)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.67
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1 * Y2, (Y1^-1, Y3), Y1 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y1 * Y3^-1 * Y2^2, (Y3, Y2^-1), (R * Y2)^2, Y1 * Y2^-1 * Y1^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2 * Y1^-1 * Y3^-3, Y2 * Y1^-1 * Y2 * Y3^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 3, 22, 9, 28, 19, 38, 13, 32, 4, 23, 10, 29, 18, 37, 14, 33, 17, 36, 7, 26, 12, 31, 16, 35, 15, 34, 6, 25, 11, 30, 5, 24)(39, 58, 41, 60, 51, 70, 56, 75, 45, 64, 53, 72, 43, 62, 46, 65, 57, 76, 48, 67, 55, 74, 54, 73, 49, 68, 40, 59, 47, 66, 42, 61, 52, 71, 50, 69, 44, 63)
	L = (1, 42)(2, 48)(3, 52)(4, 54)(5, 51)(6, 47)(7, 39)(8, 56)(9, 55)(10, 53)(11, 57)(12, 40)(13, 50)(14, 49)(15, 41)(16, 46)(17, 43)(18, 44)(19, 45)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.62
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y3^-1, Y1^-1), (Y2, Y3), Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2, Y2^-1 * Y3^-1 * Y2^-3, (Y1^-1 * Y3^-1)^19 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 3, 22, 8, 27, 11, 30, 18, 37, 17, 36, 15, 34, 7, 26, 10, 29, 13, 32, 4, 23, 9, 28, 12, 31, 19, 38, 16, 35, 14, 33, 6, 25, 5, 24)(39, 58, 41, 60, 49, 68, 55, 74, 45, 64, 51, 70, 47, 66, 57, 76, 52, 71, 43, 62, 40, 59, 46, 65, 56, 75, 53, 72, 48, 67, 42, 61, 50, 69, 54, 73, 44, 63)
	L = (1, 42)(2, 47)(3, 50)(4, 46)(5, 51)(6, 48)(7, 39)(8, 57)(9, 49)(10, 40)(11, 54)(12, 56)(13, 41)(14, 45)(15, 43)(16, 53)(17, 44)(18, 52)(19, 55)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.26
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y3^2 * Y1, (R * Y1)^2, Y2^-1 * Y3 * Y1^-1 * Y3, (R * Y2)^2, (R * Y3)^2, Y2^5 * Y3^-1, Y1 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 6, 25, 8, 27, 14, 33, 16, 35, 19, 38, 11, 30, 13, 32, 4, 23, 7, 26, 9, 28, 15, 34, 17, 36, 18, 37, 10, 29, 12, 31, 3, 22, 5, 24)(39, 58, 41, 60, 48, 67, 55, 74, 47, 66, 42, 61, 49, 68, 54, 73, 46, 65, 40, 59, 43, 62, 50, 69, 56, 75, 53, 72, 45, 64, 51, 70, 57, 76, 52, 71, 44, 63)
	L = (1, 42)(2, 45)(3, 49)(4, 43)(5, 51)(6, 47)(7, 39)(8, 53)(9, 40)(10, 54)(11, 50)(12, 57)(13, 41)(14, 55)(15, 44)(16, 56)(17, 46)(18, 52)(19, 48)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.23
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2, (R * Y3)^2, Y3^-2 * Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y2^-3 * Y1^-1 * Y2^-1, Y1^-5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 18, 37, 16, 35, 6, 25, 4, 23, 10, 29, 12, 31, 11, 30, 17, 36, 14, 33, 13, 32, 7, 26, 3, 22, 9, 28, 19, 38, 15, 34, 5, 24)(39, 58, 41, 60, 49, 68, 54, 73, 43, 62, 45, 64, 50, 69, 56, 75, 53, 72, 51, 70, 48, 67, 46, 65, 57, 76, 52, 71, 42, 61, 40, 59, 47, 66, 55, 74, 44, 63)
	L = (1, 42)(2, 48)(3, 40)(4, 51)(5, 44)(6, 52)(7, 39)(8, 50)(9, 46)(10, 45)(11, 47)(12, 41)(13, 43)(14, 53)(15, 54)(16, 55)(17, 57)(18, 49)(19, 56)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.31
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 19, 19, 19})
Quotient :: dipole
Aut^+ = C19 (small group id <19, 1>)
Aut   = D38 (small group id <38, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2^2, (Y3, Y2), Y3^-1 * Y2^-1 * Y3^-2, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y2^-2, Y1 * Y2^-1 * Y3^2 * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 20, 2, 21, 8, 27, 17, 36, 15, 34, 3, 22, 9, 28, 19, 38, 7, 26, 12, 31, 13, 32, 4, 23, 10, 29, 16, 35, 6, 25, 11, 30, 14, 33, 18, 37, 5, 24)(39, 58, 41, 60, 51, 70, 49, 68, 40, 59, 47, 66, 42, 61, 52, 71, 46, 65, 57, 76, 48, 67, 56, 75, 55, 74, 45, 64, 54, 73, 43, 62, 53, 72, 50, 69, 44, 63)
	L = (1, 42)(2, 48)(3, 52)(4, 55)(5, 51)(6, 47)(7, 39)(8, 54)(9, 56)(10, 53)(11, 57)(12, 40)(13, 46)(14, 45)(15, 49)(16, 41)(17, 44)(18, 50)(19, 43)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.34
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y2^2, Y2^-1 * Y1^-3, (Y2^-1, Y3^-1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y3^4, Y3 * Y1^2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 6, 26, 11, 31, 16, 36, 14, 34, 3, 23, 9, 29, 5, 25)(4, 24, 10, 30, 15, 35, 18, 38, 19, 39, 7, 27, 12, 32, 13, 33, 20, 40, 17, 37)(41, 61, 43, 63, 51, 71, 42, 62, 49, 69, 56, 76, 48, 68, 45, 65, 54, 74, 46, 66)(44, 64, 53, 73, 59, 79, 50, 70, 60, 80, 47, 67, 55, 75, 57, 77, 52, 72, 58, 78)
	L = (1, 44)(2, 50)(3, 53)(4, 56)(5, 57)(6, 58)(7, 41)(8, 55)(9, 60)(10, 54)(11, 59)(12, 42)(13, 48)(14, 52)(15, 43)(16, 47)(17, 51)(18, 49)(19, 45)(20, 46)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.92
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 16, 36, 12, 32, 8, 28, 4, 24)(3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 17, 37, 13, 33, 9, 29, 5, 25)(41, 61, 43, 63, 42, 62, 47, 67, 46, 66, 51, 71, 50, 70, 55, 75, 54, 74, 59, 79, 58, 78, 60, 80, 56, 76, 57, 77, 52, 72, 53, 73, 48, 68, 49, 69, 44, 64, 45, 65)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 17, 37, 13, 33, 9, 29, 4, 24)(3, 23, 5, 25, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 16, 36, 12, 32, 8, 28)(41, 61, 43, 63, 44, 64, 48, 68, 49, 69, 52, 72, 53, 73, 56, 76, 57, 77, 60, 80, 58, 78, 59, 79, 54, 74, 55, 75, 50, 70, 51, 71, 46, 66, 47, 67, 42, 62, 45, 65)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ 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 * Y2 * Y1^2 * Y2, (R * Y2 * Y3^-1)^2, Y2^-6 * Y1, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 13, 33, 15, 35, 20, 40, 17, 37, 9, 29, 11, 31, 4, 24)(3, 23, 7, 27, 12, 32, 5, 25, 8, 28, 14, 34, 19, 39, 16, 36, 18, 38, 10, 30)(41, 61, 43, 63, 49, 69, 56, 76, 55, 75, 48, 68, 42, 62, 47, 67, 51, 71, 58, 78, 60, 80, 54, 74, 46, 66, 52, 72, 44, 64, 50, 70, 57, 77, 59, 79, 53, 73, 45, 65)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^5, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 9, 29, 15, 35, 20, 40, 18, 38, 13, 33, 11, 31, 4, 24)(3, 23, 7, 27, 14, 34, 16, 36, 19, 39, 17, 37, 12, 32, 5, 25, 8, 28, 10, 30)(41, 61, 43, 63, 49, 69, 56, 76, 58, 78, 52, 72, 44, 64, 50, 70, 46, 66, 54, 74, 60, 80, 57, 77, 51, 71, 48, 68, 42, 62, 47, 67, 55, 75, 59, 79, 53, 73, 45, 65)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y1 * Y2^-2, Y1 * Y2 * Y3^-1 * Y2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5, (Y3^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 12, 32, 17, 37, 15, 35, 13, 33, 7, 27, 5, 25)(3, 23, 8, 28, 10, 30, 16, 36, 18, 38, 20, 40, 19, 39, 14, 34, 11, 31, 6, 26)(41, 61, 43, 63, 42, 62, 48, 68, 44, 64, 50, 70, 49, 69, 56, 76, 52, 72, 58, 78, 57, 77, 60, 80, 55, 75, 59, 79, 53, 73, 54, 74, 47, 67, 51, 71, 45, 65, 46, 66)
	L = (1, 44)(2, 49)(3, 50)(4, 52)(5, 42)(6, 48)(7, 41)(8, 56)(9, 57)(10, 58)(11, 43)(12, 55)(13, 45)(14, 46)(15, 47)(16, 60)(17, 53)(18, 59)(19, 51)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.89
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y2 * Y1 * Y2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 9, 29, 15, 35, 17, 37, 12, 32, 13, 33, 4, 24, 5, 25)(3, 23, 6, 26, 8, 28, 14, 34, 16, 36, 20, 40, 18, 38, 19, 39, 10, 30, 11, 31)(41, 61, 43, 63, 45, 65, 51, 71, 44, 64, 50, 70, 53, 73, 59, 79, 52, 72, 58, 78, 57, 77, 60, 80, 55, 75, 56, 76, 49, 69, 54, 74, 47, 67, 48, 68, 42, 62, 46, 66)
	L = (1, 44)(2, 45)(3, 50)(4, 52)(5, 53)(6, 51)(7, 41)(8, 43)(9, 42)(10, 58)(11, 59)(12, 55)(13, 57)(14, 46)(15, 47)(16, 48)(17, 49)(18, 56)(19, 60)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.90
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-2, Y3^2 * Y1^-2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2, Y3^-1), (Y2^-1 * R)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y3 * Y1^4, Y3^5, Y3^2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 13, 33, 7, 27, 12, 32, 4, 24, 10, 30, 18, 38, 5, 25)(3, 23, 9, 29, 19, 39, 17, 37, 16, 36, 20, 40, 14, 34, 6, 26, 11, 31, 15, 35)(41, 61, 43, 63, 53, 73, 57, 77, 44, 64, 54, 74, 45, 65, 55, 75, 48, 68, 59, 79, 52, 72, 60, 80, 58, 78, 51, 71, 42, 62, 49, 69, 47, 67, 56, 76, 50, 70, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 48)(5, 52)(6, 57)(7, 41)(8, 58)(9, 46)(10, 53)(11, 56)(12, 42)(13, 45)(14, 59)(15, 60)(16, 43)(17, 55)(18, 47)(19, 51)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.91
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1, Y3^-2 * Y1^2, (Y3, Y1^-1), (R * Y3)^2, (Y1 * Y3^-1)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y3^2 * Y1 * Y3 * Y1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 7, 27, 11, 31, 4, 24, 10, 30, 15, 35, 5, 25)(3, 23, 9, 29, 19, 39, 18, 38, 13, 33, 14, 34, 12, 32, 20, 40, 16, 36, 6, 26)(41, 61, 43, 63, 42, 62, 49, 69, 48, 68, 59, 79, 57, 77, 58, 78, 47, 67, 53, 73, 51, 71, 54, 74, 44, 64, 52, 72, 50, 70, 60, 80, 55, 75, 56, 76, 45, 65, 46, 66)
	L = (1, 44)(2, 50)(3, 52)(4, 48)(5, 51)(6, 54)(7, 41)(8, 55)(9, 60)(10, 57)(11, 42)(12, 59)(13, 43)(14, 49)(15, 47)(16, 53)(17, 45)(18, 46)(19, 56)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.87
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, Y2^2 * Y3 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y2, Y1^-1), (Y2^-1 * R)^2, (R * Y3)^2, (Y3, Y2^-1), Y3^5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2^14 * Y1^-1, Y3^-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 * Y3^-2, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 15, 35, 18, 38, 17, 37, 11, 31, 7, 27, 5, 25)(3, 23, 8, 28, 12, 32, 6, 26, 10, 30, 16, 36, 19, 39, 20, 40, 14, 34, 13, 33)(41, 61, 43, 63, 51, 71, 60, 80, 55, 75, 50, 70, 42, 62, 48, 68, 47, 67, 54, 74, 58, 78, 56, 76, 44, 64, 52, 72, 45, 65, 53, 73, 57, 77, 59, 79, 49, 69, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 55)(5, 42)(6, 56)(7, 41)(8, 46)(9, 58)(10, 59)(11, 45)(12, 50)(13, 48)(14, 43)(15, 57)(16, 60)(17, 47)(18, 51)(19, 54)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.86
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y3 * Y1^-1 * Y2^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1^-1, (Y2^-1 * R)^2, (R * Y3)^2, (Y1, Y2), (R * Y1)^2, Y3^5, (Y3 * Y2^-2)^2, Y3^2 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, (Y1 * Y3^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 17, 37, 19, 39, 13, 33, 14, 34, 4, 24, 5, 25)(3, 23, 8, 28, 12, 32, 18, 38, 20, 40, 15, 35, 16, 36, 6, 26, 9, 29, 11, 31)(41, 61, 43, 63, 50, 70, 58, 78, 53, 73, 56, 76, 45, 65, 51, 71, 47, 67, 52, 72, 59, 79, 55, 75, 44, 64, 49, 69, 42, 62, 48, 68, 57, 77, 60, 80, 54, 74, 46, 66)
	L = (1, 44)(2, 45)(3, 49)(4, 53)(5, 54)(6, 55)(7, 41)(8, 51)(9, 56)(10, 42)(11, 46)(12, 43)(13, 57)(14, 59)(15, 58)(16, 60)(17, 47)(18, 48)(19, 50)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y3^-1, Y2), Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 7, 27, 11, 31, 4, 24, 9, 29, 16, 36, 5, 25)(3, 23, 6, 26, 10, 30, 19, 39, 14, 34, 18, 38, 12, 32, 15, 35, 20, 40, 13, 33)(41, 61, 43, 63, 45, 65, 53, 73, 56, 76, 60, 80, 49, 69, 55, 75, 44, 64, 52, 72, 51, 71, 58, 78, 47, 67, 54, 74, 57, 77, 59, 79, 48, 68, 50, 70, 42, 62, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 48)(5, 51)(6, 55)(7, 41)(8, 56)(9, 57)(10, 60)(11, 42)(12, 50)(13, 58)(14, 43)(15, 59)(16, 47)(17, 45)(18, 46)(19, 53)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.83
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y2^-2 * Y1^-1 * Y3, (Y2^-1, Y3^-1), Y3 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-2, (R * Y1)^2, Y3^5, Y2^4 * Y3^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 17, 37, 19, 39, 15, 35, 11, 31, 4, 24, 5, 25)(3, 23, 8, 28, 14, 34, 6, 26, 9, 29, 16, 36, 18, 38, 20, 40, 12, 32, 13, 33)(41, 61, 43, 63, 51, 71, 60, 80, 57, 77, 49, 69, 42, 62, 48, 68, 44, 64, 52, 72, 59, 79, 56, 76, 47, 67, 54, 74, 45, 65, 53, 73, 55, 75, 58, 78, 50, 70, 46, 66)
	L = (1, 44)(2, 45)(3, 52)(4, 55)(5, 51)(6, 48)(7, 41)(8, 53)(9, 54)(10, 42)(11, 59)(12, 58)(13, 60)(14, 43)(15, 57)(16, 46)(17, 47)(18, 49)(19, 50)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.84
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (Y1, Y2), Y3^5, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y2^14 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 13, 33, 19, 39, 17, 37, 15, 35, 7, 27, 5, 25)(3, 23, 8, 28, 11, 31, 18, 38, 20, 40, 16, 36, 14, 34, 6, 26, 10, 30, 12, 32)(41, 61, 43, 63, 49, 69, 58, 78, 57, 77, 54, 74, 45, 65, 52, 72, 44, 64, 51, 71, 59, 79, 56, 76, 47, 67, 50, 70, 42, 62, 48, 68, 53, 73, 60, 80, 55, 75, 46, 66)
	L = (1, 44)(2, 49)(3, 51)(4, 53)(5, 42)(6, 52)(7, 41)(8, 58)(9, 59)(10, 43)(11, 60)(12, 48)(13, 57)(14, 50)(15, 45)(16, 46)(17, 47)(18, 56)(19, 55)(20, 54)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.85
Graph:: bipartite
	v = 3 e = 40 f = 3
	degree seq :: [ 20^2, 40 ]

E18.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y2, (Y2, Y3^-1), Y2^2 * Y1 * Y3, Y3 * Y2^-1 * Y1^2, (R * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, Y1^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 15, 35, 4, 24, 10, 30, 3, 23, 9, 29, 18, 38, 14, 34, 20, 40, 13, 33, 6, 26, 11, 31, 7, 27, 12, 32, 19, 39, 16, 36, 5, 25)(41, 61, 43, 63, 51, 71, 42, 62, 49, 69, 47, 67, 48, 68, 58, 78, 52, 72, 57, 77, 54, 74, 59, 79, 55, 75, 60, 80, 56, 76, 44, 64, 53, 73, 45, 65, 50, 70, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 54)(5, 55)(6, 56)(7, 41)(8, 43)(9, 46)(10, 60)(11, 45)(12, 42)(13, 59)(14, 47)(15, 58)(16, 57)(17, 49)(18, 51)(19, 48)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.78
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1 * Y2^-2, Y3^3, (Y3^-1, Y2), (R * Y3)^2, (Y3^-1, Y1), Y2 * Y1^3, (R * Y2)^2, (R * 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 * Y3^-1 * 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 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 6, 27, 3, 24, 9, 30, 5, 26)(4, 25, 10, 31, 18, 39, 15, 36, 12, 33, 20, 41, 14, 35)(7, 28, 11, 32, 19, 40, 17, 38, 13, 34, 21, 42, 16, 37)(43, 64, 45, 66, 44, 65, 51, 72, 50, 71, 47, 68, 48, 69)(46, 67, 54, 75, 52, 73, 62, 83, 60, 81, 56, 77, 57, 78)(49, 70, 55, 76, 53, 74, 63, 84, 61, 82, 58, 79, 59, 80)
	L = (1, 46)(2, 52)(3, 54)(4, 49)(5, 56)(6, 57)(7, 43)(8, 60)(9, 62)(10, 53)(11, 44)(12, 55)(13, 45)(14, 58)(15, 59)(16, 47)(17, 48)(18, 61)(19, 50)(20, 63)(21, 51)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.128
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1 * Y2^2, Y3^3, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2^-1, Y3^-1), Y2 * Y1^-3, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 3, 24, 6, 27, 10, 31, 5, 26)(4, 25, 9, 30, 18, 39, 12, 33, 15, 36, 20, 41, 14, 35)(7, 28, 11, 32, 19, 40, 13, 34, 17, 38, 21, 42, 16, 37)(43, 64, 45, 66, 47, 68, 50, 71, 52, 73, 44, 65, 48, 69)(46, 67, 54, 75, 56, 77, 60, 81, 62, 83, 51, 72, 57, 78)(49, 70, 55, 76, 58, 79, 61, 82, 63, 84, 53, 74, 59, 80)
	L = (1, 46)(2, 51)(3, 54)(4, 49)(5, 56)(6, 57)(7, 43)(8, 60)(9, 53)(10, 62)(11, 44)(12, 55)(13, 45)(14, 58)(15, 59)(16, 47)(17, 48)(18, 61)(19, 50)(20, 63)(21, 52)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.129
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y2^-1, Y3^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-3, (R * Y2)^2, Y3^3 * Y2 * Y1^-1, Y3 * Y1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 3, 24, 6, 27, 10, 31, 5, 26)(4, 25, 9, 30, 19, 40, 12, 33, 16, 37, 21, 42, 15, 36)(7, 28, 11, 32, 20, 41, 13, 34, 18, 39, 14, 35, 17, 38)(43, 64, 45, 66, 47, 68, 50, 71, 52, 73, 44, 65, 48, 69)(46, 67, 54, 75, 57, 78, 61, 82, 63, 84, 51, 72, 58, 79)(49, 70, 55, 76, 59, 80, 62, 83, 56, 77, 53, 74, 60, 81)
	L = (1, 46)(2, 51)(3, 54)(4, 56)(5, 57)(6, 58)(7, 43)(8, 61)(9, 59)(10, 63)(11, 44)(12, 53)(13, 45)(14, 52)(15, 60)(16, 62)(17, 47)(18, 48)(19, 49)(20, 50)(21, 55)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.130
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y3^3 * Y1^-1, (Y3^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y1 * Y2^3, (R * Y1)^2, (Y3, Y2) ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 3, 24, 8, 29, 11, 32, 6, 27, 5, 26)(4, 25, 9, 30, 12, 33, 18, 39, 20, 41, 15, 36, 14, 35)(7, 28, 10, 31, 13, 34, 19, 40, 21, 42, 17, 38, 16, 37)(43, 64, 45, 66, 53, 74, 47, 68, 44, 65, 50, 71, 48, 69)(46, 67, 54, 75, 62, 83, 56, 77, 51, 72, 60, 81, 57, 78)(49, 70, 55, 76, 63, 84, 58, 79, 52, 73, 61, 82, 59, 80)
	L = (1, 46)(2, 51)(3, 54)(4, 52)(5, 56)(6, 57)(7, 43)(8, 60)(9, 55)(10, 44)(11, 62)(12, 61)(13, 45)(14, 49)(15, 58)(16, 47)(17, 48)(18, 63)(19, 50)(20, 59)(21, 53)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.131
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ 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), Y2^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y2^3 * Y1^4, (Y3^-1 * Y1^-1)^7, Y2^21, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 21, 42, 13, 34, 18, 39, 10, 31)(5, 26, 8, 29, 16, 37, 9, 30, 17, 38, 20, 41, 12, 33)(43, 64, 45, 66, 51, 72, 56, 77, 63, 84, 54, 75, 46, 67, 52, 73, 58, 79, 48, 69, 57, 78, 62, 83, 53, 74, 60, 81, 50, 71, 44, 65, 49, 70, 59, 80, 61, 82, 55, 76, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ 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, Y2^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 13, 34, 18, 39, 21, 42, 10, 31)(5, 26, 8, 29, 16, 37, 20, 41, 9, 30, 17, 38, 12, 33)(43, 64, 45, 66, 51, 72, 61, 82, 60, 81, 50, 71, 44, 65, 49, 70, 59, 80, 53, 74, 63, 84, 58, 79, 48, 69, 57, 78, 54, 75, 46, 67, 52, 73, 62, 83, 56, 77, 55, 76, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^7, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 16, 37, 21, 42, 18, 39, 10, 31)(5, 26, 8, 29, 15, 36, 20, 41, 17, 38, 9, 30, 12, 33)(43, 64, 45, 66, 51, 72, 53, 74, 60, 81, 62, 83, 56, 77, 58, 79, 50, 71, 44, 65, 49, 70, 54, 75, 46, 67, 52, 73, 59, 80, 61, 82, 63, 84, 57, 78, 48, 69, 55, 76, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), Y2^3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-7, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 14, 35, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 20, 41, 19, 40, 13, 34, 10, 31)(5, 26, 8, 29, 9, 30, 16, 37, 21, 42, 18, 39, 12, 33)(43, 64, 45, 66, 51, 72, 48, 69, 57, 78, 63, 84, 59, 80, 61, 82, 54, 75, 46, 67, 52, 73, 50, 71, 44, 65, 49, 70, 58, 79, 56, 77, 62, 83, 60, 81, 53, 74, 55, 76, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 12, 33, 16, 37, 10, 31, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 20, 41, 15, 36, 9, 30)(5, 26, 8, 29, 14, 35, 19, 40, 21, 42, 17, 38, 11, 32)(43, 64, 45, 66, 50, 71, 44, 65, 49, 70, 56, 77, 48, 69, 55, 76, 61, 82, 54, 75, 60, 81, 63, 84, 58, 79, 62, 83, 59, 80, 52, 73, 57, 78, 53, 74, 46, 67, 51, 72, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 22, 2, 23, 6, 27, 12, 33, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 21, 42, 16, 37, 10, 31)(5, 26, 8, 29, 14, 35, 19, 40, 20, 41, 15, 36, 9, 30)(43, 64, 45, 66, 51, 72, 46, 67, 52, 73, 57, 78, 53, 74, 58, 79, 62, 83, 59, 80, 63, 84, 61, 82, 54, 75, 60, 81, 56, 77, 48, 69, 55, 76, 50, 71, 44, 65, 49, 70, 47, 68)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, (Y2^-1 * R)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y1^-2 * Y2^-3 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1^2 * Y2^-2, Y1^7, (Y3^-1 * Y1^-1)^7, Y3^-1 * Y1^-1 * Y3 * Y1^2 * 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 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 13, 34, 18, 39, 21, 42, 10, 31)(5, 26, 8, 29, 16, 37, 20, 41, 9, 30, 17, 38, 12, 33)(43, 64, 45, 66, 51, 72, 61, 82, 60, 81, 50, 71, 44, 65, 49, 70, 59, 80, 53, 74, 63, 84, 58, 79, 48, 69, 57, 78, 54, 75, 46, 67, 52, 73, 62, 83, 56, 77, 55, 76, 47, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 61)(15, 55)(16, 62)(17, 54)(18, 63)(19, 53)(20, 51)(21, 52)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.124
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, Y1^-3 * Y3, (Y1^-1, Y2), (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-1 * Y3, Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^2 * Y1, (Y2^-1 * Y3)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 4, 25, 7, 28, 11, 32, 5, 26)(3, 24, 9, 30, 18, 39, 13, 34, 15, 36, 21, 42, 14, 35)(6, 27, 10, 31, 20, 41, 16, 37, 19, 40, 12, 33, 17, 38)(43, 64, 45, 66, 54, 75, 53, 74, 63, 84, 58, 79, 46, 67, 55, 76, 52, 73, 44, 65, 51, 72, 59, 80, 47, 68, 56, 77, 61, 82, 49, 70, 57, 78, 62, 83, 50, 71, 60, 81, 48, 69)
	L = (1, 46)(2, 49)(3, 55)(4, 47)(5, 50)(6, 58)(7, 43)(8, 53)(9, 57)(10, 61)(11, 44)(12, 52)(13, 56)(14, 60)(15, 45)(16, 59)(17, 62)(18, 63)(19, 48)(20, 54)(21, 51)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.127
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-2, (Y2^-1 * Y3)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 7, 28, 4, 25, 10, 31, 5, 26)(3, 24, 9, 30, 20, 41, 15, 36, 13, 34, 18, 39, 14, 35)(6, 27, 11, 32, 12, 33, 19, 40, 16, 37, 21, 42, 17, 38)(43, 64, 45, 66, 54, 75, 50, 71, 62, 83, 58, 79, 46, 67, 55, 76, 59, 80, 47, 68, 56, 77, 53, 74, 44, 65, 51, 72, 61, 82, 49, 70, 57, 78, 63, 84, 52, 73, 60, 81, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 44)(5, 49)(6, 58)(7, 43)(8, 47)(9, 60)(10, 50)(11, 63)(12, 59)(13, 51)(14, 57)(15, 45)(16, 53)(17, 61)(18, 62)(19, 48)(20, 56)(21, 54)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.125
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y2^3 * Y1^-1, (Y2, Y1), Y1 * Y3^3, (Y2, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 14, 35, 7, 28, 5, 26)(3, 24, 8, 29, 11, 32, 18, 39, 20, 41, 13, 34, 12, 33)(6, 27, 10, 31, 15, 36, 19, 40, 21, 42, 17, 38, 16, 37)(43, 64, 45, 66, 52, 73, 44, 65, 50, 71, 57, 78, 46, 67, 53, 74, 61, 82, 51, 72, 60, 81, 63, 84, 56, 77, 62, 83, 59, 80, 49, 70, 55, 76, 58, 79, 47, 68, 54, 75, 48, 69)
	L = (1, 46)(2, 51)(3, 53)(4, 56)(5, 44)(6, 57)(7, 43)(8, 60)(9, 49)(10, 61)(11, 62)(12, 50)(13, 45)(14, 47)(15, 63)(16, 52)(17, 48)(18, 55)(19, 59)(20, 54)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.123
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-2, (Y2, Y1^-1), Y1^-1 * Y3^3, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 7, 28, 10, 31, 15, 36, 4, 25, 5, 26)(3, 24, 8, 29, 14, 35, 18, 39, 21, 42, 12, 33, 13, 34)(6, 27, 9, 30, 17, 38, 19, 40, 20, 41, 16, 37, 11, 32)(43, 64, 45, 66, 53, 74, 47, 68, 55, 76, 58, 79, 46, 67, 54, 75, 62, 83, 57, 78, 63, 84, 61, 82, 52, 73, 60, 81, 59, 80, 49, 70, 56, 77, 51, 72, 44, 65, 50, 71, 48, 69)
	L = (1, 46)(2, 47)(3, 54)(4, 52)(5, 57)(6, 58)(7, 43)(8, 55)(9, 53)(10, 44)(11, 62)(12, 60)(13, 63)(14, 45)(15, 49)(16, 61)(17, 48)(18, 50)(19, 51)(20, 59)(21, 56)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.126
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y3^3, (Y2, Y3), (R * Y2)^2, Y2^-3 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 15, 36, 7, 28, 5, 26)(3, 24, 8, 29, 12, 33, 21, 42, 18, 39, 14, 35, 13, 34)(6, 27, 10, 31, 16, 37, 11, 32, 20, 41, 19, 40, 17, 38)(43, 64, 45, 66, 53, 74, 51, 72, 63, 84, 59, 80, 47, 68, 55, 76, 58, 79, 46, 67, 54, 75, 61, 82, 49, 70, 56, 77, 52, 73, 44, 65, 50, 71, 62, 83, 57, 78, 60, 81, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 57)(5, 44)(6, 58)(7, 43)(8, 63)(9, 49)(10, 53)(11, 61)(12, 60)(13, 50)(14, 45)(15, 47)(16, 62)(17, 52)(18, 55)(19, 48)(20, 59)(21, 56)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.112
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), (R * Y3)^2, Y3^-3 * Y1, Y3 * Y2^2 * Y3 * Y2, Y3^-1 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 7, 28, 10, 31, 15, 36, 4, 25, 5, 26)(3, 24, 8, 29, 14, 35, 18, 39, 20, 41, 12, 33, 13, 34)(6, 27, 9, 30, 19, 40, 21, 42, 11, 32, 16, 37, 17, 38)(43, 64, 45, 66, 53, 74, 57, 78, 62, 83, 51, 72, 44, 65, 50, 71, 58, 79, 46, 67, 54, 75, 61, 82, 49, 70, 56, 77, 59, 80, 47, 68, 55, 76, 63, 84, 52, 73, 60, 81, 48, 69)
	L = (1, 46)(2, 47)(3, 54)(4, 52)(5, 57)(6, 58)(7, 43)(8, 55)(9, 59)(10, 44)(11, 61)(12, 60)(13, 62)(14, 45)(15, 49)(16, 63)(17, 53)(18, 50)(19, 48)(20, 56)(21, 51)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y1^2 * Y2^3, Y1^7, Y1^7, (Y3^-1 * Y1^-1)^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 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 19, 40, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 16, 37, 21, 42, 18, 39, 10, 31)(5, 26, 8, 29, 15, 36, 20, 41, 17, 38, 9, 30, 12, 33)(43, 64, 45, 66, 51, 72, 53, 74, 60, 81, 62, 83, 56, 77, 58, 79, 50, 71, 44, 65, 49, 70, 54, 75, 46, 67, 52, 73, 59, 80, 61, 82, 63, 84, 57, 78, 48, 69, 55, 76, 47, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 55)(8, 57)(9, 54)(10, 45)(11, 46)(12, 47)(13, 58)(14, 61)(15, 62)(16, 63)(17, 51)(18, 52)(19, 53)(20, 59)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.111
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2, Y3), Y2 * Y1^-1 * Y2^2, Y1^-3 * Y3, (R * Y2)^2, (Y1^-1, Y2^-1), (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^2, (Y2^-1 * Y3)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 4, 25, 7, 28, 11, 32, 5, 26)(3, 24, 9, 30, 18, 39, 12, 33, 14, 35, 20, 41, 13, 34)(6, 27, 10, 31, 19, 40, 15, 36, 17, 38, 21, 42, 16, 37)(43, 64, 45, 66, 52, 73, 44, 65, 51, 72, 61, 82, 50, 71, 60, 81, 57, 78, 46, 67, 54, 75, 59, 80, 49, 70, 56, 77, 63, 84, 53, 74, 62, 83, 58, 79, 47, 68, 55, 76, 48, 69)
	L = (1, 46)(2, 49)(3, 54)(4, 47)(5, 50)(6, 57)(7, 43)(8, 53)(9, 56)(10, 59)(11, 44)(12, 55)(13, 60)(14, 45)(15, 58)(16, 61)(17, 48)(18, 62)(19, 63)(20, 51)(21, 52)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.110
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y1 * Y2^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2), Y3 * Y2 * Y3 * Y2^2, Y3^-1 * Y2^2 * Y1^-2 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 7, 28, 4, 25, 10, 31, 5, 26)(3, 24, 9, 30, 18, 39, 15, 36, 13, 34, 20, 41, 14, 35)(6, 27, 11, 32, 19, 40, 17, 38, 16, 37, 21, 42, 12, 33)(43, 64, 45, 66, 54, 75, 47, 68, 56, 77, 63, 84, 52, 73, 62, 83, 58, 79, 46, 67, 55, 76, 59, 80, 49, 70, 57, 78, 61, 82, 50, 71, 60, 81, 53, 74, 44, 65, 51, 72, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 44)(5, 49)(6, 58)(7, 43)(8, 47)(9, 62)(10, 50)(11, 63)(12, 59)(13, 51)(14, 57)(15, 45)(16, 53)(17, 48)(18, 56)(19, 54)(20, 60)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.108
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1, (Y2, Y3^-1), Y3^-3 * Y1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^2 * Y3 * Y2, Y3^-1 * Y2^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 7, 28, 10, 31, 15, 36, 4, 25, 5, 26)(3, 24, 8, 29, 14, 35, 21, 42, 18, 39, 12, 33, 13, 34)(6, 27, 9, 30, 19, 40, 11, 32, 20, 41, 16, 37, 17, 38)(43, 64, 45, 66, 53, 74, 52, 73, 63, 84, 59, 80, 47, 68, 55, 76, 61, 82, 49, 70, 56, 77, 58, 79, 46, 67, 54, 75, 51, 72, 44, 65, 50, 71, 62, 83, 57, 78, 60, 81, 48, 69)
	L = (1, 46)(2, 47)(3, 54)(4, 52)(5, 57)(6, 58)(7, 43)(8, 55)(9, 59)(10, 44)(11, 51)(12, 63)(13, 60)(14, 45)(15, 49)(16, 53)(17, 62)(18, 56)(19, 48)(20, 61)(21, 50)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.120
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y1^-1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^2 * Y1 * Y3, (R * Y1)^2, (Y2, Y3), Y2^2 * Y1 * Y3 * Y2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 15, 36, 7, 28, 5, 26)(3, 24, 8, 29, 12, 33, 18, 39, 21, 42, 14, 35, 13, 34)(6, 27, 10, 31, 16, 37, 20, 41, 11, 32, 19, 40, 17, 38)(43, 64, 45, 66, 53, 74, 57, 78, 63, 84, 52, 73, 44, 65, 50, 71, 61, 82, 49, 70, 56, 77, 58, 79, 46, 67, 54, 75, 59, 80, 47, 68, 55, 76, 62, 83, 51, 72, 60, 81, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 57)(5, 44)(6, 58)(7, 43)(8, 60)(9, 49)(10, 62)(11, 59)(12, 63)(13, 50)(14, 45)(15, 47)(16, 53)(17, 52)(18, 56)(19, 48)(20, 61)(21, 55)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.119
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1 * R)^2, (Y2, Y1^-1), Y2^-3 * Y1^2, Y1^7, Y1^7, (Y3^-1 * Y1^-1)^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 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 14, 35, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 15, 36, 20, 41, 19, 40, 13, 34, 10, 31)(5, 26, 8, 29, 9, 30, 16, 37, 21, 42, 18, 39, 12, 33)(43, 64, 45, 66, 51, 72, 48, 69, 57, 78, 63, 84, 59, 80, 61, 82, 54, 75, 46, 67, 52, 73, 50, 71, 44, 65, 49, 70, 58, 79, 56, 77, 62, 83, 60, 81, 53, 74, 55, 76, 47, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 51)(9, 58)(10, 45)(11, 46)(12, 47)(13, 52)(14, 59)(15, 62)(16, 63)(17, 53)(18, 54)(19, 55)(20, 61)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.118
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y2, Y3), (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 7, 28, 4, 25, 10, 31, 5, 26)(3, 24, 9, 30, 18, 39, 14, 35, 12, 33, 20, 41, 13, 34)(6, 27, 11, 32, 19, 40, 17, 38, 15, 36, 21, 42, 16, 37)(43, 64, 45, 66, 53, 74, 44, 65, 51, 72, 61, 82, 50, 71, 60, 81, 59, 80, 49, 70, 56, 77, 57, 78, 46, 67, 54, 75, 63, 84, 52, 73, 62, 83, 58, 79, 47, 68, 55, 76, 48, 69)
	L = (1, 46)(2, 52)(3, 54)(4, 44)(5, 49)(6, 57)(7, 43)(8, 47)(9, 62)(10, 50)(11, 63)(12, 51)(13, 56)(14, 45)(15, 53)(16, 59)(17, 48)(18, 55)(19, 58)(20, 60)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.121
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y1, Y2), Y2^-2 * Y1^-1 * Y2^-1, Y1^-1 * Y3 * Y1^-2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 4, 25, 7, 28, 11, 32, 5, 26)(3, 24, 9, 30, 18, 39, 13, 34, 15, 36, 20, 41, 14, 35)(6, 27, 10, 31, 19, 40, 16, 37, 17, 38, 21, 42, 12, 33)(43, 64, 45, 66, 54, 75, 47, 68, 56, 77, 63, 84, 53, 74, 62, 83, 59, 80, 49, 70, 57, 78, 58, 79, 46, 67, 55, 76, 61, 82, 50, 71, 60, 81, 52, 73, 44, 65, 51, 72, 48, 69)
	L = (1, 46)(2, 49)(3, 55)(4, 47)(5, 50)(6, 58)(7, 43)(8, 53)(9, 57)(10, 59)(11, 44)(12, 61)(13, 56)(14, 60)(15, 45)(16, 54)(17, 48)(18, 62)(19, 63)(20, 51)(21, 52)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.122
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2, (Y2^-1, Y1), Y3^-1 * Y2^3, (R * Y1)^2, Y3 * Y1^-3, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 4, 25, 7, 28, 11, 32, 5, 26)(3, 24, 9, 30, 18, 39, 13, 34, 15, 36, 20, 41, 14, 35)(6, 27, 10, 31, 19, 40, 12, 33, 17, 38, 21, 42, 16, 37)(43, 64, 45, 66, 54, 75, 46, 67, 55, 76, 58, 79, 47, 68, 56, 77, 61, 82, 50, 71, 60, 81, 63, 84, 53, 74, 62, 83, 52, 73, 44, 65, 51, 72, 59, 80, 49, 70, 57, 78, 48, 69)
	L = (1, 46)(2, 49)(3, 55)(4, 47)(5, 50)(6, 54)(7, 43)(8, 53)(9, 57)(10, 59)(11, 44)(12, 58)(13, 56)(14, 60)(15, 45)(16, 61)(17, 48)(18, 62)(19, 63)(20, 51)(21, 52)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.115
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^-1 * Y3 * Y2^-2, Y3 * Y1^3, (Y3^-1, Y2^-1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 7, 28, 4, 25, 10, 31, 5, 26)(3, 24, 9, 30, 18, 39, 15, 36, 13, 34, 21, 42, 14, 35)(6, 27, 11, 32, 19, 40, 17, 38, 12, 33, 20, 41, 16, 37)(43, 64, 45, 66, 54, 75, 46, 67, 55, 76, 53, 74, 44, 65, 51, 72, 62, 83, 52, 73, 63, 84, 61, 82, 50, 71, 60, 81, 58, 79, 47, 68, 56, 77, 59, 80, 49, 70, 57, 78, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 44)(5, 49)(6, 54)(7, 43)(8, 47)(9, 63)(10, 50)(11, 62)(12, 53)(13, 51)(14, 57)(15, 45)(16, 59)(17, 48)(18, 56)(19, 58)(20, 61)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.114
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, (Y2, Y1^-1), Y2^3 * Y3^-1, Y1 * Y3^-3, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 7, 28, 10, 31, 15, 36, 4, 25, 5, 26)(3, 24, 8, 29, 14, 35, 18, 39, 21, 42, 12, 33, 13, 34)(6, 27, 9, 30, 17, 38, 19, 40, 20, 41, 11, 32, 16, 37)(43, 64, 45, 66, 53, 74, 46, 67, 54, 75, 61, 82, 52, 73, 60, 81, 51, 72, 44, 65, 50, 71, 58, 79, 47, 68, 55, 76, 62, 83, 57, 78, 63, 84, 59, 80, 49, 70, 56, 77, 48, 69)
	L = (1, 46)(2, 47)(3, 54)(4, 52)(5, 57)(6, 53)(7, 43)(8, 55)(9, 58)(10, 44)(11, 61)(12, 60)(13, 63)(14, 45)(15, 49)(16, 62)(17, 48)(18, 50)(19, 51)(20, 59)(21, 56)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.113
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2, Y2^-3 * Y3, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (Y1, Y2), Y1 * Y3^3, (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 15, 36, 7, 28, 5, 26)(3, 24, 8, 29, 12, 33, 19, 40, 21, 42, 14, 35, 13, 34)(6, 27, 10, 31, 11, 32, 18, 39, 20, 41, 17, 38, 16, 37)(43, 64, 45, 66, 53, 74, 46, 67, 54, 75, 62, 83, 57, 78, 63, 84, 58, 79, 47, 68, 55, 76, 52, 73, 44, 65, 50, 71, 60, 81, 51, 72, 61, 82, 59, 80, 49, 70, 56, 77, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 57)(5, 44)(6, 53)(7, 43)(8, 61)(9, 49)(10, 60)(11, 62)(12, 63)(13, 50)(14, 45)(15, 47)(16, 52)(17, 48)(18, 59)(19, 56)(20, 58)(21, 55)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.116
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^-1 * Y2^3, (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, Y1^7, (Y3^-1 * Y1^-1)^7, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 12, 33, 16, 37, 10, 31, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 20, 41, 15, 36, 9, 30)(5, 26, 8, 29, 14, 35, 19, 40, 21, 42, 17, 38, 11, 32)(43, 64, 45, 66, 50, 71, 44, 65, 49, 70, 56, 77, 48, 69, 55, 76, 61, 82, 54, 75, 60, 81, 63, 84, 58, 79, 62, 83, 59, 80, 52, 73, 57, 78, 53, 74, 46, 67, 51, 72, 47, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 54)(7, 55)(8, 56)(9, 45)(10, 46)(11, 47)(12, 58)(13, 60)(14, 61)(15, 51)(16, 52)(17, 53)(18, 62)(19, 63)(20, 57)(21, 59)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.117
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y2, Y3), Y2 * Y3 * Y2^2, Y3^-1 * Y1^-3, (Y2^-1 * R)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 7, 28, 4, 25, 10, 31, 5, 26)(3, 24, 9, 30, 18, 39, 15, 36, 13, 34, 20, 41, 14, 35)(6, 27, 11, 32, 19, 40, 12, 33, 16, 37, 21, 42, 17, 38)(43, 64, 45, 66, 54, 75, 49, 70, 57, 78, 59, 80, 47, 68, 56, 77, 61, 82, 50, 71, 60, 81, 63, 84, 52, 73, 62, 83, 53, 74, 44, 65, 51, 72, 58, 79, 46, 67, 55, 76, 48, 69)
	L = (1, 46)(2, 52)(3, 55)(4, 44)(5, 49)(6, 58)(7, 43)(8, 47)(9, 62)(10, 50)(11, 63)(12, 48)(13, 51)(14, 57)(15, 45)(16, 53)(17, 54)(18, 56)(19, 59)(20, 60)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.106
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2, (Y2, Y3^-1), Y2^-1 * Y3^-1 * Y2^-2, Y3^-1 * Y1^3, (Y1^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 4, 25, 7, 28, 11, 32, 5, 26)(3, 24, 9, 30, 18, 39, 13, 34, 15, 36, 21, 42, 14, 35)(6, 27, 10, 31, 19, 40, 16, 37, 12, 33, 20, 41, 17, 38)(43, 64, 45, 66, 54, 75, 49, 70, 57, 78, 52, 73, 44, 65, 51, 72, 62, 83, 53, 74, 63, 84, 61, 82, 50, 71, 60, 81, 59, 80, 47, 68, 56, 77, 58, 79, 46, 67, 55, 76, 48, 69)
	L = (1, 46)(2, 49)(3, 55)(4, 47)(5, 50)(6, 58)(7, 43)(8, 53)(9, 57)(10, 54)(11, 44)(12, 48)(13, 56)(14, 60)(15, 45)(16, 59)(17, 61)(18, 63)(19, 62)(20, 52)(21, 51)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.103
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^2, (Y2, Y1^-1), Y2^3 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y1 * Y3^3, Y2 * Y3^-2 * Y2^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 4, 25, 9, 30, 15, 36, 7, 28, 5, 26)(3, 24, 8, 29, 12, 33, 18, 39, 21, 42, 14, 35, 13, 34)(6, 27, 10, 31, 16, 37, 19, 40, 20, 41, 11, 32, 17, 38)(43, 64, 45, 66, 53, 74, 49, 70, 56, 77, 61, 82, 51, 72, 60, 81, 52, 73, 44, 65, 50, 71, 59, 80, 47, 68, 55, 76, 62, 83, 57, 78, 63, 84, 58, 79, 46, 67, 54, 75, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 57)(5, 44)(6, 58)(7, 43)(8, 60)(9, 49)(10, 61)(11, 48)(12, 63)(13, 50)(14, 45)(15, 47)(16, 62)(17, 52)(18, 56)(19, 53)(20, 59)(21, 55)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.105
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y2^-1 * Y3^-1 * Y2^-2, (Y2, Y3^-1), Y1 * Y3^-3, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y2^-1 * R)^2, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 7, 28, 10, 31, 15, 36, 4, 25, 5, 26)(3, 24, 8, 29, 14, 35, 19, 40, 21, 42, 12, 33, 13, 34)(6, 27, 9, 30, 11, 32, 18, 39, 20, 41, 16, 37, 17, 38)(43, 64, 45, 66, 53, 74, 49, 70, 56, 77, 62, 83, 57, 78, 63, 84, 59, 80, 47, 68, 55, 76, 51, 72, 44, 65, 50, 71, 60, 81, 52, 73, 61, 82, 58, 79, 46, 67, 54, 75, 48, 69)
	L = (1, 46)(2, 47)(3, 54)(4, 52)(5, 57)(6, 58)(7, 43)(8, 55)(9, 59)(10, 44)(11, 48)(12, 61)(13, 63)(14, 45)(15, 49)(16, 60)(17, 62)(18, 51)(19, 50)(20, 53)(21, 56)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.107
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^-1 * Y2^-3, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y1^7, (Y3^-1 * Y1^-1)^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 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 6, 27, 12, 33, 17, 38, 11, 32, 4, 25)(3, 24, 7, 28, 13, 34, 18, 39, 21, 42, 16, 37, 10, 31)(5, 26, 8, 29, 14, 35, 19, 40, 20, 41, 15, 36, 9, 30)(43, 64, 45, 66, 51, 72, 46, 67, 52, 73, 57, 78, 53, 74, 58, 79, 62, 83, 59, 80, 63, 84, 61, 82, 54, 75, 60, 81, 56, 77, 48, 69, 55, 76, 50, 71, 44, 65, 49, 70, 47, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 54)(7, 55)(8, 56)(9, 47)(10, 45)(11, 46)(12, 59)(13, 60)(14, 61)(15, 51)(16, 52)(17, 53)(18, 63)(19, 62)(20, 57)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ), ( 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.104
Graph:: bipartite
	v = 4 e = 42 f = 4
	degree seq :: [ 14^3, 42 ]

E18.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2, (Y3, Y2), (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 15, 36, 12, 33, 21, 42, 18, 39, 7, 28, 11, 32, 17, 38, 6, 27, 3, 24, 9, 30, 14, 35, 4, 25, 10, 31, 20, 41, 19, 40, 13, 34, 16, 37, 5, 26)(43, 64, 45, 66, 44, 65, 51, 72, 50, 71, 56, 77, 57, 78, 46, 67, 54, 75, 52, 73, 63, 84, 62, 83, 60, 81, 61, 82, 49, 70, 55, 76, 53, 74, 58, 79, 59, 80, 47, 68, 48, 69)
	L = (1, 46)(2, 52)(3, 54)(4, 49)(5, 56)(6, 57)(7, 43)(8, 62)(9, 63)(10, 53)(11, 44)(12, 55)(13, 45)(14, 60)(15, 61)(16, 51)(17, 50)(18, 47)(19, 48)(20, 59)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.93
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y3), Y1 * Y2 * Y1 * Y3, (Y1, Y2), Y2 * Y1^2 * Y3, Y2 * Y3 * Y1^2, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^3 * Y3^-1, Y1^-5 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 20, 41, 15, 36, 3, 24, 9, 30, 7, 28, 12, 33, 18, 39, 13, 34, 19, 40, 16, 37, 17, 38, 4, 25, 10, 31, 6, 27, 11, 32, 21, 42, 14, 35, 5, 26)(43, 64, 45, 66, 55, 76, 52, 73, 47, 68, 57, 78, 60, 81, 46, 67, 56, 77, 62, 83, 54, 75, 59, 80, 63, 84, 50, 71, 49, 70, 58, 79, 53, 74, 44, 65, 51, 72, 61, 82, 48, 69)
	L = (1, 46)(2, 52)(3, 56)(4, 49)(5, 59)(6, 60)(7, 43)(8, 48)(9, 47)(10, 54)(11, 55)(12, 44)(13, 62)(14, 58)(15, 63)(16, 45)(17, 51)(18, 50)(19, 57)(20, 53)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.94
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y3 * Y2^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y1 * Y3^-5, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 3, 24, 8, 29, 7, 28, 10, 31, 11, 32, 16, 37, 15, 36, 18, 39, 19, 40, 21, 42, 20, 41, 12, 33, 17, 38, 14, 35, 13, 34, 4, 25, 9, 30, 6, 27, 5, 26)(43, 64, 45, 66, 49, 70, 53, 74, 57, 78, 61, 82, 62, 83, 59, 80, 55, 76, 51, 72, 47, 68, 44, 65, 50, 71, 52, 73, 58, 79, 60, 81, 63, 84, 54, 75, 56, 77, 46, 67, 48, 69)
	L = (1, 46)(2, 51)(3, 48)(4, 54)(5, 55)(6, 56)(7, 43)(8, 47)(9, 59)(10, 44)(11, 45)(12, 60)(13, 62)(14, 63)(15, 49)(16, 50)(17, 61)(18, 52)(19, 53)(20, 57)(21, 58)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.95
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 7, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-4, Y3 * Y1 * Y3^3, Y2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 16, 37, 6, 27, 4, 25, 10, 31, 20, 41, 18, 39, 14, 35, 13, 34, 19, 40, 12, 33, 11, 32, 21, 42, 17, 38, 7, 28, 3, 24, 9, 30, 15, 36, 5, 26)(43, 64, 45, 66, 53, 74, 56, 77, 46, 67, 44, 65, 51, 72, 63, 84, 55, 76, 52, 73, 50, 71, 57, 78, 59, 80, 61, 82, 62, 83, 58, 79, 47, 68, 49, 70, 54, 75, 60, 81, 48, 69)
	L = (1, 46)(2, 52)(3, 44)(4, 55)(5, 48)(6, 56)(7, 43)(8, 62)(9, 50)(10, 61)(11, 51)(12, 45)(13, 59)(14, 63)(15, 58)(16, 60)(17, 47)(18, 53)(19, 49)(20, 54)(21, 57)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.96
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.132 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 8, 8})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1 * Y3^-1, Y2^6, Y1^6, Y1 * Y3 * Y1^-2 * Y3^3, Y3^-1 * Y1^-2 * Y2 * Y3^-3, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 12, 36, 23, 47, 14, 38, 24, 48, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 20, 44, 9, 33, 19, 43, 18, 42, 8, 32)(3, 27, 10, 34, 21, 45, 16, 40, 6, 30, 15, 39, 22, 46, 11, 35)(49, 50, 54, 62, 57, 51)(52, 58, 67, 72, 63, 55)(53, 59, 68, 71, 64, 56)(60, 65, 70, 61, 66, 69)(73, 75, 81, 86, 78, 74)(76, 79, 87, 96, 91, 82)(77, 80, 88, 95, 92, 83)(84, 93, 90, 85, 94, 89)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^6 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E18.134
Graph:: bipartite
	v = 11 e = 48 f = 3
	degree seq :: [ 6^8, 16^3 ]

E18.133 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 8, 8})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = C8 x S3 (small group id <48, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, Y1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^6, Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y2^-1, Y1^2 * Y3^-1 * Y1 * Y3^2 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 12, 36, 24, 48, 13, 37, 5, 29)(2, 26, 7, 31, 17, 41, 19, 43, 18, 42, 8, 32)(3, 27, 10, 34, 22, 46, 14, 38, 23, 47, 11, 35)(6, 30, 15, 39, 21, 45, 9, 33, 20, 44, 16, 40)(49, 50, 54, 62, 72, 67, 57, 51)(52, 56, 63, 70, 61, 65, 68, 59)(53, 55, 64, 71, 60, 66, 69, 58)(73, 75, 81, 91, 96, 86, 78, 74)(76, 83, 92, 89, 85, 94, 87, 80)(77, 82, 93, 90, 84, 95, 88, 79)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E18.135
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 8^6, 12^4 ]

E18.134 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 8, 8})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1 * Y3^-1, Y2^6, Y1^6, Y1 * Y3 * Y1^-2 * Y3^3, Y3^-1 * Y1^-2 * Y2 * Y3^-3, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 23, 47, 71, 95, 14, 38, 62, 86, 24, 48, 72, 96, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 20, 44, 68, 92, 9, 33, 57, 81, 19, 43, 67, 91, 18, 42, 66, 90, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 21, 45, 69, 93, 16, 40, 64, 88, 6, 30, 54, 78, 15, 39, 63, 87, 22, 46, 70, 94, 11, 35, 59, 83)
	L = (1, 26)(2, 30)(3, 25)(4, 34)(5, 35)(6, 38)(7, 28)(8, 29)(9, 27)(10, 43)(11, 44)(12, 41)(13, 42)(14, 33)(15, 31)(16, 32)(17, 46)(18, 45)(19, 48)(20, 47)(21, 36)(22, 37)(23, 40)(24, 39)(49, 75)(50, 73)(51, 81)(52, 79)(53, 80)(54, 74)(55, 87)(56, 88)(57, 86)(58, 76)(59, 77)(60, 93)(61, 94)(62, 78)(63, 96)(64, 95)(65, 84)(66, 85)(67, 82)(68, 83)(69, 90)(70, 89)(71, 92)(72, 91)
	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, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.132
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 11
	degree seq :: [ 32^3 ]

E18.135 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 8, 8})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = C8 x S3 (small group id <48, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, Y1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^6, Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y2^-1, Y1^2 * Y3^-1 * Y1 * Y3^2 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 24, 48, 72, 96, 13, 37, 61, 85, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 17, 41, 65, 89, 19, 43, 67, 91, 18, 42, 66, 90, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 22, 46, 70, 94, 14, 38, 62, 86, 23, 47, 71, 95, 11, 35, 59, 83)(6, 30, 54, 78, 15, 39, 63, 87, 21, 45, 69, 93, 9, 33, 57, 81, 20, 44, 68, 92, 16, 40, 64, 88)
	L = (1, 26)(2, 30)(3, 25)(4, 32)(5, 31)(6, 38)(7, 40)(8, 39)(9, 27)(10, 29)(11, 28)(12, 42)(13, 41)(14, 48)(15, 46)(16, 47)(17, 44)(18, 45)(19, 33)(20, 35)(21, 34)(22, 37)(23, 36)(24, 43)(49, 75)(50, 73)(51, 81)(52, 83)(53, 82)(54, 74)(55, 77)(56, 76)(57, 91)(58, 93)(59, 92)(60, 95)(61, 94)(62, 78)(63, 80)(64, 79)(65, 85)(66, 84)(67, 96)(68, 89)(69, 90)(70, 87)(71, 88)(72, 86)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.133
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 24^4 ]

E18.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y2 * Y1^-1 * Y2^3 * Y1, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 9, 33, 19, 43, 24, 48, 15, 39, 7, 31)(5, 29, 12, 36, 22, 46, 21, 45, 16, 40, 8, 32)(10, 34, 17, 41, 23, 47, 13, 37, 18, 42, 20, 44)(49, 73, 51, 75, 58, 82, 69, 93, 62, 86, 72, 96, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 59, 83, 67, 91, 66, 90, 56, 80)(52, 76, 57, 81, 68, 92, 64, 88, 54, 78, 63, 87, 71, 95, 60, 84)
	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) :: { ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 12^4, 16^3 ]

E18.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y3^3, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-2, Y2^-1 * Y3^-1 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 11, 35, 14, 38, 20, 44, 13, 37, 8, 32)(6, 30, 16, 40, 15, 39, 21, 45, 17, 41, 9, 33)(12, 36, 19, 43, 24, 48, 18, 42, 22, 46, 23, 47)(49, 73, 51, 75, 60, 84, 69, 93, 58, 82, 68, 92, 66, 90, 54, 78)(50, 74, 56, 80, 67, 91, 63, 87, 52, 76, 62, 86, 70, 94, 57, 81)(53, 77, 59, 83, 71, 95, 65, 89, 55, 79, 61, 85, 72, 96, 64, 88)
	L = (1, 52)(2, 53)(3, 61)(4, 55)(5, 58)(6, 65)(7, 49)(8, 68)(9, 69)(10, 50)(11, 56)(12, 70)(13, 62)(14, 51)(15, 54)(16, 57)(17, 63)(18, 67)(19, 71)(20, 59)(21, 64)(22, 72)(23, 66)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 12^4, 16^3 ]

E18.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 8, 8})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, Y1^6, Y2^4 * Y1^3, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 24, 48, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 19, 43, 22, 46, 12, 36)(9, 33, 17, 41, 23, 47, 13, 37, 18, 42, 20, 44)(49, 73, 51, 75, 57, 81, 67, 91, 62, 86, 72, 96, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 59, 83, 69, 93, 66, 90, 56, 80)(52, 76, 58, 82, 68, 92, 64, 88, 54, 78, 63, 87, 71, 95, 60, 84)
	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) :: { ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 12^4, 16^3 ]

E18.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^2 * Y1^-2, Y3 * Y2 * Y3 * Y2^-1, (Y2, Y1^-1), (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3, Y2^6, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 18, 42, 16, 40, 5, 29)(3, 27, 8, 32, 19, 43, 17, 41, 6, 30, 10, 34)(4, 28, 12, 36, 20, 44, 22, 46, 24, 48, 13, 37)(9, 33, 14, 38, 23, 47, 11, 35, 15, 39, 21, 45)(49, 73, 51, 75, 55, 79, 67, 91, 64, 88, 54, 78)(50, 74, 56, 80, 66, 90, 65, 89, 53, 77, 58, 82)(52, 76, 59, 83, 68, 92, 69, 93, 72, 96, 62, 86)(57, 81, 61, 85, 71, 95, 60, 84, 63, 87, 70, 94)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 63)(6, 62)(7, 68)(8, 61)(9, 50)(10, 70)(11, 51)(12, 65)(13, 56)(14, 54)(15, 53)(16, 72)(17, 60)(18, 71)(19, 69)(20, 55)(21, 67)(22, 58)(23, 66)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.144
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1)^2, Y2^-2 * Y1^-2, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y1 * Y2^-1 * Y3 * Y1 * Y3, Y1^6, Y3 * Y2^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 18, 42, 11, 35, 5, 29)(3, 27, 8, 32, 6, 30, 10, 34, 20, 44, 13, 37)(4, 28, 14, 38, 19, 43, 21, 45, 23, 47, 15, 39)(9, 33, 12, 36, 24, 48, 16, 40, 17, 41, 22, 46)(49, 73, 51, 75, 59, 83, 68, 92, 55, 79, 54, 78)(50, 74, 56, 80, 53, 77, 61, 85, 66, 90, 58, 82)(52, 76, 60, 84, 71, 95, 70, 94, 67, 91, 64, 88)(57, 81, 69, 93, 65, 89, 62, 86, 72, 96, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 65)(6, 64)(7, 67)(8, 69)(9, 50)(10, 63)(11, 71)(12, 51)(13, 62)(14, 61)(15, 58)(16, 54)(17, 53)(18, 72)(19, 55)(20, 70)(21, 56)(22, 68)(23, 59)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.145
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1)^2, Y3^-2 * Y2^-2, (Y2, Y3), (Y2 * Y3)^2, Y3^2 * Y1^-2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (Y2^-1 * R)^2, Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3^-2 * Y2^4, Y3^-4 * Y1^-2, (Y2^-1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 13, 37, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35, 24, 48, 15, 39)(4, 28, 17, 41, 23, 47, 21, 45, 7, 31, 18, 42)(10, 34, 14, 38, 20, 44, 19, 43, 12, 36, 16, 40)(49, 73, 51, 75, 61, 85, 72, 96, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 63, 87, 70, 94, 59, 83)(52, 76, 62, 86, 55, 79, 64, 88, 71, 95, 67, 91)(58, 82, 69, 93, 60, 84, 65, 89, 68, 92, 66, 90)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 67)(7, 49)(8, 71)(9, 69)(10, 70)(11, 66)(12, 50)(13, 55)(14, 54)(15, 65)(16, 51)(17, 57)(18, 63)(19, 72)(20, 53)(21, 59)(22, 68)(23, 61)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.146
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-2 * Y1^-2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^6, Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1^3 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 12, 36, 5, 29)(3, 27, 11, 35, 6, 30, 16, 40, 19, 43, 9, 33)(4, 28, 14, 38, 18, 42, 8, 32, 20, 44, 10, 34)(13, 37, 21, 45, 15, 39, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 60, 84, 67, 91, 55, 79, 54, 78)(50, 74, 56, 80, 53, 77, 62, 86, 65, 89, 58, 82)(52, 76, 61, 85, 68, 92, 72, 96, 66, 90, 63, 87)(57, 81, 69, 93, 64, 88, 71, 95, 59, 83, 70, 94)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 64)(6, 63)(7, 66)(8, 69)(9, 50)(10, 70)(11, 65)(12, 68)(13, 51)(14, 71)(15, 54)(16, 53)(17, 59)(18, 55)(19, 72)(20, 60)(21, 56)(22, 58)(23, 62)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.143
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-2 * Y2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2^-2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 3, 27, 7, 31, 9, 33, 17, 41, 21, 45, 24, 48, 16, 40, 15, 39, 6, 30, 5, 29)(4, 28, 11, 35, 10, 34, 23, 47, 22, 46, 14, 38, 20, 44, 8, 32, 19, 43, 18, 42, 13, 37, 12, 36)(49, 73, 51, 75, 57, 81, 69, 93, 64, 88, 54, 78)(50, 74, 55, 79, 65, 89, 72, 96, 63, 87, 53, 77)(52, 76, 58, 82, 70, 94, 68, 92, 67, 91, 61, 85)(56, 80, 66, 90, 60, 84, 59, 83, 71, 95, 62, 86)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 62)(6, 61)(7, 66)(8, 50)(9, 70)(10, 51)(11, 72)(12, 65)(13, 54)(14, 53)(15, 71)(16, 67)(17, 60)(18, 55)(19, 64)(20, 69)(21, 68)(22, 57)(23, 63)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E18.142
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-2 * Y2^-1, (Y2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 16, 40, 22, 46, 24, 48, 23, 47, 12, 36, 20, 44, 13, 37, 5, 29)(3, 27, 11, 35, 4, 28, 14, 38, 6, 30, 15, 39, 18, 42, 8, 32, 19, 43, 9, 33, 21, 45, 10, 34)(49, 73, 51, 75, 60, 84, 67, 91, 64, 88, 54, 78)(50, 74, 56, 80, 68, 92, 62, 86, 70, 94, 58, 82)(52, 76, 61, 85, 69, 93, 72, 96, 66, 90, 55, 79)(53, 77, 63, 87, 71, 95, 59, 83, 65, 89, 57, 81)
	L = (1, 52)(2, 57)(3, 61)(4, 49)(5, 56)(6, 55)(7, 54)(8, 53)(9, 50)(10, 65)(11, 70)(12, 69)(13, 51)(14, 71)(15, 68)(16, 66)(17, 58)(18, 64)(19, 72)(20, 63)(21, 60)(22, 59)(23, 62)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E18.139
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-2 * Y2, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^6, Y1 * Y2^-1 * Y1^-5 * Y3, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 12, 36, 19, 43, 24, 48, 23, 47, 16, 40, 22, 46, 15, 39, 5, 29)(3, 27, 11, 35, 18, 42, 10, 34, 21, 45, 9, 33, 20, 44, 8, 32, 6, 30, 14, 38, 4, 28, 13, 37)(49, 73, 51, 75, 60, 84, 69, 93, 64, 88, 54, 78)(50, 74, 56, 80, 67, 91, 61, 85, 70, 94, 58, 82)(52, 76, 55, 79, 66, 90, 72, 96, 68, 92, 63, 87)(53, 77, 57, 81, 65, 89, 62, 86, 71, 95, 59, 83)
	L = (1, 52)(2, 57)(3, 55)(4, 49)(5, 58)(6, 63)(7, 51)(8, 65)(9, 50)(10, 53)(11, 70)(12, 66)(13, 71)(14, 67)(15, 54)(16, 68)(17, 56)(18, 60)(19, 62)(20, 64)(21, 72)(22, 59)(23, 61)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E18.140
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1^-1 * Y3 * Y2, (Y1^-1, Y3), Y2 * Y3 * Y2^-1 * Y3, Y3^4, Y3^-1 * Y1^-3, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y1^-1)^2, Y3^-2 * Y2^2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 21, 45, 16, 40, 24, 48, 17, 41, 4, 28, 10, 34, 5, 29)(3, 27, 13, 37, 19, 43, 11, 35, 22, 46, 18, 42, 23, 47, 9, 33, 6, 30, 14, 38, 20, 44, 15, 39)(49, 73, 51, 75, 60, 84, 70, 94, 65, 89, 54, 78)(50, 74, 57, 81, 69, 93, 63, 87, 52, 76, 59, 83)(53, 77, 66, 90, 55, 79, 62, 86, 72, 96, 61, 85)(56, 80, 67, 91, 64, 88, 71, 95, 58, 82, 68, 92)
	L = (1, 52)(2, 58)(3, 62)(4, 64)(5, 65)(6, 66)(7, 49)(8, 53)(9, 70)(10, 72)(11, 51)(12, 50)(13, 68)(14, 71)(15, 54)(16, 55)(17, 69)(18, 67)(19, 63)(20, 57)(21, 56)(22, 61)(23, 59)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E18.141
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y1 * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1^-1)^2, R * Y3^-1 * Y2^-1 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 6, 30, 10, 34, 13, 37)(4, 28, 9, 33, 19, 43, 15, 39)(7, 31, 11, 35, 20, 44, 17, 41)(12, 36, 18, 42, 22, 46, 23, 47)(14, 38, 16, 40, 21, 45, 24, 48)(49, 73, 51, 75, 53, 77, 61, 85, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 62, 86, 63, 87, 72, 96, 67, 91, 69, 93, 57, 81, 64, 88)(55, 79, 60, 84, 65, 89, 71, 95, 68, 92, 70, 94, 59, 83, 66, 90)
	L = (1, 52)(2, 57)(3, 60)(4, 55)(5, 63)(6, 66)(7, 49)(8, 67)(9, 59)(10, 70)(11, 50)(12, 62)(13, 71)(14, 51)(15, 65)(16, 54)(17, 53)(18, 64)(19, 68)(20, 56)(21, 58)(22, 69)(23, 72)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.155
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y2^2, Y1^4, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 16, 40, 6, 30)(4, 28, 10, 34, 19, 43, 14, 38)(7, 31, 11, 35, 20, 44, 17, 41)(12, 36, 21, 45, 24, 48, 18, 42)(13, 37, 22, 46, 23, 47, 15, 39)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 64, 88, 53, 77, 54, 78)(52, 76, 61, 85, 58, 82, 70, 94, 67, 91, 71, 95, 62, 86, 63, 87)(55, 79, 60, 84, 59, 83, 69, 93, 68, 92, 72, 96, 65, 89, 66, 90)
	L = (1, 52)(2, 58)(3, 60)(4, 55)(5, 62)(6, 66)(7, 49)(8, 67)(9, 69)(10, 59)(11, 50)(12, 61)(13, 51)(14, 65)(15, 54)(16, 72)(17, 53)(18, 63)(19, 68)(20, 56)(21, 70)(22, 57)(23, 64)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.156
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (Y3, Y1^-1), Y1^4, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y2 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 6, 30, 10, 34, 13, 37)(4, 28, 9, 33, 20, 44, 16, 40)(7, 31, 11, 35, 15, 39, 18, 42)(12, 36, 19, 43, 22, 46, 23, 47)(14, 38, 17, 41, 21, 45, 24, 48)(49, 73, 51, 75, 53, 77, 61, 85, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 62, 86, 64, 88, 72, 96, 68, 92, 69, 93, 57, 81, 65, 89)(55, 79, 60, 84, 66, 90, 71, 95, 63, 87, 70, 94, 59, 83, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 67)(7, 49)(8, 68)(9, 66)(10, 70)(11, 50)(12, 69)(13, 71)(14, 51)(15, 56)(16, 59)(17, 54)(18, 53)(19, 72)(20, 55)(21, 58)(22, 62)(23, 65)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.158
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2^-1, Y1^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1^-1)^2, (Y3^-1, Y1), (R * Y3)^2, Y3^-3 * Y1^2, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 17, 41, 6, 30)(4, 28, 10, 34, 20, 44, 15, 39)(7, 31, 11, 35, 14, 38, 18, 42)(12, 36, 21, 45, 24, 48, 19, 43)(13, 37, 22, 46, 23, 47, 16, 40)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 65, 89, 53, 77, 54, 78)(52, 76, 61, 85, 58, 82, 70, 94, 68, 92, 71, 95, 63, 87, 64, 88)(55, 79, 60, 84, 59, 83, 69, 93, 62, 86, 72, 96, 66, 90, 67, 91)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 67)(7, 49)(8, 68)(9, 69)(10, 66)(11, 50)(12, 71)(13, 51)(14, 56)(15, 59)(16, 54)(17, 72)(18, 53)(19, 70)(20, 55)(21, 64)(22, 57)(23, 65)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.157
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y1^-1, R * Y2^-1 * Y3^-1 * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^6, Y1^8, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 20, 44, 10, 34, 4, 28)(3, 27, 9, 33, 5, 29, 13, 37, 15, 39, 24, 48, 19, 43, 11, 35)(7, 31, 16, 40, 8, 32, 18, 42, 23, 47, 21, 45, 12, 36, 17, 41)(49, 73, 51, 75, 58, 82, 67, 91, 70, 94, 63, 87, 54, 78, 53, 77)(50, 74, 55, 79, 52, 76, 60, 84, 68, 92, 71, 95, 62, 86, 56, 80)(57, 81, 65, 89, 59, 83, 69, 93, 72, 96, 66, 90, 61, 85, 64, 88)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 61)(6, 62)(7, 64)(8, 66)(9, 53)(10, 52)(11, 51)(12, 65)(13, 63)(14, 70)(15, 72)(16, 56)(17, 55)(18, 71)(19, 59)(20, 58)(21, 60)(22, 68)(23, 69)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.154
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 16^6 ]

E18.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2 * Y2^-1, Y3 * Y2^2 * Y3, (Y3, Y1^-1), Y1 * Y3^-2 * Y1, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3^-1 * Y2, Y2^2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 4, 28, 10, 34, 5, 29)(3, 27, 13, 37, 6, 30, 16, 40, 19, 43, 14, 38, 24, 48, 15, 39)(9, 33, 20, 44, 11, 35, 23, 47, 17, 41, 21, 45, 18, 42, 22, 46)(49, 73, 51, 75, 58, 82, 72, 96, 60, 84, 67, 91, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 66, 90, 52, 76, 65, 89, 55, 79, 59, 83)(61, 85, 71, 95, 63, 87, 68, 92, 62, 86, 70, 94, 64, 88, 69, 93)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 63)(7, 49)(8, 53)(9, 69)(10, 55)(11, 70)(12, 50)(13, 72)(14, 54)(15, 67)(16, 51)(17, 68)(18, 71)(19, 61)(20, 66)(21, 59)(22, 65)(23, 57)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.153
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 16^6 ]

E18.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y2 * Y1^3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y2^4, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 6, 30, 11, 35, 23, 47, 13, 37, 24, 48, 14, 38, 3, 27, 9, 33, 5, 29)(4, 28, 16, 40, 12, 36, 18, 42, 20, 44, 10, 34, 15, 39, 19, 43, 22, 46, 7, 31, 21, 45, 17, 41)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 72, 96, 59, 83)(52, 76, 55, 79, 63, 87, 66, 90)(53, 77, 62, 86, 71, 95, 56, 80)(58, 82, 60, 84, 65, 89, 70, 94)(64, 88, 69, 93, 67, 91, 68, 92)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 67)(6, 66)(7, 49)(8, 69)(9, 60)(10, 59)(11, 70)(12, 50)(13, 63)(14, 68)(15, 51)(16, 62)(17, 57)(18, 61)(19, 56)(20, 53)(21, 71)(22, 72)(23, 64)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E18.152
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 8^6, 24^2 ]

E18.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, Y1^3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y1 * Y3 * Y2^-1 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 3, 27, 9, 33, 23, 47, 13, 37, 24, 48, 19, 43, 6, 30, 11, 35, 5, 29)(4, 28, 15, 39, 22, 46, 7, 31, 21, 45, 10, 34, 14, 38, 18, 42, 12, 36, 17, 41, 20, 44, 16, 40)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 72, 96, 59, 83)(52, 76, 55, 79, 62, 86, 65, 89)(53, 77, 56, 80, 71, 95, 67, 91)(58, 82, 60, 84, 64, 88, 70, 94)(63, 87, 69, 93, 66, 90, 68, 92)
	L = (1, 52)(2, 58)(3, 55)(4, 54)(5, 66)(6, 65)(7, 49)(8, 68)(9, 60)(10, 59)(11, 70)(12, 50)(13, 62)(14, 51)(15, 56)(16, 57)(17, 61)(18, 67)(19, 69)(20, 53)(21, 71)(22, 72)(23, 63)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E18.151
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 8^6, 24^2 ]

E18.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3^-1), Y1^2 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3, Y3^-1 * Y2 * Y1^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y1^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 24, 48, 23, 47, 17, 41, 5, 29)(3, 27, 13, 37, 4, 28, 12, 36, 21, 45, 11, 35, 20, 44, 16, 40)(6, 30, 19, 43, 14, 38, 18, 42, 15, 39, 9, 33, 7, 31, 10, 34)(49, 73, 51, 75, 62, 86, 56, 80, 52, 76, 63, 87, 72, 96, 69, 93, 55, 79, 65, 89, 68, 92, 54, 78)(50, 74, 57, 81, 64, 88, 70, 94, 58, 82, 61, 85, 71, 95, 67, 91, 60, 84, 53, 77, 66, 90, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 55)(5, 57)(6, 56)(7, 49)(8, 69)(9, 61)(10, 60)(11, 70)(12, 50)(13, 53)(14, 72)(15, 65)(16, 71)(17, 51)(18, 64)(19, 59)(20, 62)(21, 54)(22, 67)(23, 66)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E18.147
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y3^-1 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1, (Y3, Y2), Y1^2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2^4, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 24, 48, 23, 47, 16, 40, 5, 29)(3, 27, 13, 37, 20, 44, 18, 42, 21, 45, 11, 35, 4, 28, 12, 36)(6, 30, 17, 41, 7, 31, 10, 34, 15, 39, 9, 33, 14, 38, 19, 43)(49, 73, 51, 75, 62, 86, 64, 88, 52, 76, 63, 87, 72, 96, 69, 93, 55, 79, 56, 80, 68, 92, 54, 78)(50, 74, 57, 81, 66, 90, 53, 77, 58, 82, 61, 85, 71, 95, 65, 89, 60, 84, 70, 94, 67, 91, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 55)(5, 65)(6, 64)(7, 49)(8, 51)(9, 61)(10, 60)(11, 53)(12, 50)(13, 70)(14, 72)(15, 56)(16, 69)(17, 59)(18, 71)(19, 66)(20, 62)(21, 54)(22, 57)(23, 67)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E18.148
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y1^-1 * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, Y1^2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3^6, Y1^8, (Y2 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 24, 48, 23, 47, 15, 39, 5, 29)(3, 27, 13, 37, 19, 43, 17, 41, 22, 46, 11, 35, 4, 28, 12, 36)(6, 30, 16, 40, 7, 31, 10, 34, 21, 45, 9, 33, 14, 38, 18, 42)(49, 73, 51, 75, 55, 79, 56, 80, 67, 91, 69, 93, 72, 96, 70, 94, 62, 86, 63, 87, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 68, 92, 66, 90, 61, 85, 71, 95, 64, 88, 65, 89, 53, 77, 58, 82, 59, 83)
	L = (1, 52)(2, 58)(3, 54)(4, 62)(5, 64)(6, 63)(7, 49)(8, 51)(9, 59)(10, 65)(11, 53)(12, 50)(13, 68)(14, 72)(15, 70)(16, 61)(17, 71)(18, 60)(19, 55)(20, 57)(21, 56)(22, 69)(23, 66)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E18.150
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y2^-1 * Y3 * Y1^-2, Y2 * Y3^-1 * Y1^2, Y3 * Y1^-1 * Y3 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-2 * Y2^-1, Y1 * Y2^-1 * Y1^3 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 24, 48, 23, 47, 15, 39, 5, 29)(3, 27, 13, 37, 4, 28, 12, 36, 21, 45, 11, 35, 19, 43, 14, 38)(6, 30, 18, 42, 16, 40, 17, 41, 22, 46, 9, 33, 7, 31, 10, 34)(49, 73, 51, 75, 55, 79, 63, 87, 67, 91, 70, 94, 72, 96, 69, 93, 64, 88, 56, 80, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 53, 77, 65, 89, 61, 85, 71, 95, 66, 90, 62, 86, 68, 92, 58, 82, 59, 83)
	L = (1, 52)(2, 58)(3, 54)(4, 64)(5, 57)(6, 56)(7, 49)(8, 69)(9, 59)(10, 62)(11, 68)(12, 50)(13, 53)(14, 71)(15, 51)(16, 72)(17, 60)(18, 61)(19, 55)(20, 66)(21, 70)(22, 63)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E18.149
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, Y1^6, Y2 * Y3 * Y2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 16, 40, 5, 29)(3, 27, 6, 30, 10, 34, 22, 46, 24, 48, 12, 36)(4, 28, 9, 33, 21, 45, 23, 47, 17, 41, 7, 31)(11, 35, 18, 42, 19, 43, 14, 38, 15, 39, 13, 37)(49, 73, 51, 75, 53, 77, 60, 84, 64, 88, 72, 96, 68, 92, 70, 94, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 62, 86, 55, 79, 67, 91, 65, 89, 66, 90, 71, 95, 59, 83, 69, 93, 61, 85, 57, 81, 63, 87)
	L = (1, 52)(2, 57)(3, 59)(4, 50)(5, 55)(6, 66)(7, 49)(8, 69)(9, 56)(10, 67)(11, 54)(12, 61)(13, 51)(14, 72)(15, 60)(16, 65)(17, 53)(18, 58)(19, 70)(20, 71)(21, 68)(22, 62)(23, 64)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.160
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2 * Y3^-1, Y1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, Y2 * Y3^-3, Y2^4, (R * Y3)^2, Y2 * Y1 * Y3 * Y1, (R * Y1)^2, (Y2, Y3^-1), Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, (Y1 * Y3 * Y2 * Y1)^2, Y3^-1 * Y2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 14, 38, 22, 46, 13, 37, 21, 45, 18, 42, 24, 48, 17, 41, 5, 29)(3, 27, 11, 35, 20, 44, 12, 36, 23, 47, 10, 34, 6, 30, 9, 33, 7, 31, 16, 40, 4, 28, 15, 39)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 69, 93, 59, 83)(52, 76, 62, 86, 71, 95, 65, 89)(53, 77, 58, 82, 70, 94, 63, 87)(55, 79, 56, 80, 68, 92, 66, 90)(60, 84, 67, 91, 64, 88, 72, 96)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 65)(7, 49)(8, 51)(9, 70)(10, 67)(11, 53)(12, 50)(13, 71)(14, 68)(15, 72)(16, 69)(17, 55)(18, 54)(19, 57)(20, 61)(21, 63)(22, 64)(23, 66)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.159
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 8^6, 24^2 ]

E18.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (Y2, Y1), Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y2 * Y3^-2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 14, 38)(4, 28, 9, 33, 17, 41)(6, 30, 10, 34, 19, 43)(7, 31, 11, 35, 20, 44)(12, 36, 22, 46, 16, 40)(13, 37, 23, 47, 18, 42)(15, 39, 24, 48, 21, 45)(49, 73, 51, 75, 60, 84, 67, 91, 53, 77, 62, 86, 64, 88, 58, 82, 50, 74, 56, 80, 70, 94, 54, 78)(52, 76, 63, 87, 59, 83, 71, 95, 65, 89, 69, 93, 55, 79, 61, 85, 57, 81, 72, 96, 68, 92, 66, 90)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 65)(6, 69)(7, 49)(8, 71)(9, 60)(10, 63)(11, 50)(12, 59)(13, 58)(14, 66)(15, 51)(16, 55)(17, 70)(18, 54)(19, 72)(20, 53)(21, 62)(22, 68)(23, 67)(24, 56)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E18.162
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 6^8, 24^2 ]

E18.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 12, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2^-1 * Y3, Y3 * Y2^2 * Y1^-1, (Y3, Y1), Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y1^3 * Y3^-1, Y1^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y2^-1, Y3^4, Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 10, 34, 19, 43, 16, 40, 24, 48, 18, 42, 7, 31, 12, 36, 5, 29)(3, 27, 13, 37, 6, 30, 14, 38, 20, 44, 17, 41, 23, 47, 9, 33, 21, 45, 11, 35, 22, 46, 15, 39)(49, 73, 51, 75, 60, 84, 70, 94, 66, 90, 69, 93, 64, 88, 71, 95, 58, 82, 68, 92, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 65, 89, 55, 79, 62, 86, 72, 96, 61, 85, 67, 91, 63, 87, 52, 76, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 64)(5, 56)(6, 65)(7, 49)(8, 67)(9, 70)(10, 72)(11, 51)(12, 50)(13, 68)(14, 71)(15, 54)(16, 55)(17, 69)(18, 53)(19, 66)(20, 57)(21, 63)(22, 61)(23, 59)(24, 60)(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) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.161
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 24^4 ]

E18.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y2^-1, (Y2, Y1), Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3^-1, Y1^-1), Y1^4, Y3^-2 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y2^3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 20, 44, 15, 39)(4, 28, 10, 34, 21, 45, 18, 42)(6, 30, 11, 35, 13, 37, 17, 41)(7, 31, 12, 36, 22, 46, 14, 38)(16, 40, 19, 43, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 56, 80, 68, 92, 54, 78)(50, 74, 57, 81, 65, 89, 53, 77, 63, 87, 59, 83)(52, 76, 62, 86, 72, 96, 69, 93, 60, 84, 67, 91)(55, 79, 64, 88, 66, 90, 70, 94, 71, 95, 58, 82)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 69)(9, 55)(10, 54)(11, 71)(12, 50)(13, 72)(14, 53)(15, 70)(16, 51)(17, 64)(18, 61)(19, 57)(20, 60)(21, 59)(22, 56)(23, 68)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.169
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 8^6, 12^4 ]

E18.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3^-2, (Y2, Y1^-1), (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^-1 * R)^2, Y3^-3 * Y2 * Y3^-1, Y2^3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 20, 44, 14, 38)(4, 28, 10, 34, 21, 45, 16, 40)(6, 30, 11, 35, 13, 37, 18, 42)(7, 31, 12, 36, 22, 46, 19, 43)(15, 39, 23, 47, 24, 48, 17, 41)(49, 73, 51, 75, 61, 85, 56, 80, 68, 92, 54, 78)(50, 74, 57, 81, 66, 90, 53, 77, 62, 86, 59, 83)(52, 76, 60, 84, 71, 95, 69, 93, 67, 91, 65, 89)(55, 79, 63, 87, 58, 82, 70, 94, 72, 96, 64, 88)
	L = (1, 52)(2, 58)(3, 60)(4, 59)(5, 64)(6, 65)(7, 49)(8, 69)(9, 70)(10, 61)(11, 63)(12, 50)(13, 71)(14, 55)(15, 51)(16, 54)(17, 62)(18, 72)(19, 53)(20, 67)(21, 66)(22, 56)(23, 57)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.170
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 8^6, 12^4 ]

E18.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y3 * Y2 * Y1, Y2^2 * Y1 * Y3, Y1 * Y2^2 * Y3, (R * Y3)^2, (Y2^-1 * R)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y1^6, (Y3^-1 * Y1^-1)^4, Y2^-24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 17, 41, 5, 29)(3, 27, 9, 33, 16, 40, 21, 45, 24, 48, 14, 38)(4, 28, 10, 34, 19, 43, 23, 47, 12, 36, 7, 31)(6, 30, 11, 35, 20, 44, 22, 46, 15, 39, 13, 37)(49, 73, 51, 75, 60, 84, 70, 94, 66, 90, 69, 93, 58, 82, 54, 78)(50, 74, 57, 81, 55, 79, 63, 87, 65, 89, 72, 96, 67, 91, 59, 83)(52, 76, 61, 85, 53, 77, 62, 86, 71, 95, 68, 92, 56, 80, 64, 88)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 67)(9, 54)(10, 56)(11, 69)(12, 53)(13, 57)(14, 63)(15, 51)(16, 59)(17, 60)(18, 71)(19, 66)(20, 72)(21, 68)(22, 62)(23, 65)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.168
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 12^4, 16^3 ]

E18.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^-1 * Y2 * Y3^-1 * Y2, Y2^-1 * Y1 * Y3 * Y2^-1, Y3 * Y1 * Y2^-2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^6, Y2^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 14, 38, 5, 29)(3, 27, 9, 33, 19, 43, 24, 48, 17, 41, 13, 37)(4, 28, 10, 34, 20, 44, 23, 47, 16, 40, 7, 31)(6, 30, 11, 35, 12, 36, 21, 45, 22, 46, 15, 39)(49, 73, 51, 75, 58, 82, 69, 93, 66, 90, 72, 96, 64, 88, 54, 78)(50, 74, 57, 81, 68, 92, 70, 94, 62, 86, 65, 89, 55, 79, 59, 83)(52, 76, 60, 84, 56, 80, 67, 91, 71, 95, 63, 87, 53, 77, 61, 85)
	L = (1, 52)(2, 58)(3, 60)(4, 50)(5, 55)(6, 61)(7, 49)(8, 68)(9, 69)(10, 56)(11, 51)(12, 57)(13, 59)(14, 64)(15, 65)(16, 53)(17, 54)(18, 71)(19, 70)(20, 66)(21, 67)(22, 72)(23, 62)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.167
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 12^4, 16^3 ]

E18.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, (Y2, Y3), Y2^-1 * Y3^3, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 14, 38, 13, 37, 3, 27, 8, 32, 12, 36, 20, 44, 23, 47, 22, 46, 11, 35, 19, 43, 21, 45, 24, 48, 18, 42, 16, 40, 6, 30, 10, 34, 15, 39, 17, 41, 7, 31, 5, 29)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 56, 80, 67, 91, 58, 82)(52, 76, 60, 84, 69, 93, 63, 87)(53, 77, 61, 85, 70, 94, 64, 88)(55, 79, 62, 86, 71, 95, 66, 90)(57, 81, 68, 92, 72, 96, 65, 89)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 50)(6, 63)(7, 49)(8, 68)(9, 61)(10, 65)(11, 69)(12, 71)(13, 56)(14, 51)(15, 55)(16, 58)(17, 53)(18, 54)(19, 72)(20, 70)(21, 66)(22, 67)(23, 59)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.166
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2 * Y3^-1, (R * Y3)^2, Y2^4, (Y2^-1, Y1^-1), (R * Y2)^2, (Y1^-1, Y3), (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1, Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 23, 47, 16, 40, 20, 44, 6, 30, 11, 35, 14, 38, 21, 45, 7, 31, 12, 36, 13, 37, 17, 41, 4, 28, 10, 34, 22, 46, 15, 39, 3, 27, 9, 33, 18, 42, 24, 48, 19, 43, 5, 29)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 65, 89, 59, 83)(52, 76, 62, 86, 56, 80, 66, 90)(53, 77, 63, 87, 60, 84, 68, 92)(55, 79, 64, 88, 67, 91, 70, 94)(58, 82, 69, 93, 71, 95, 72, 96)
	L = (1, 52)(2, 58)(3, 62)(4, 64)(5, 65)(6, 66)(7, 49)(8, 70)(9, 69)(10, 68)(11, 72)(12, 50)(13, 56)(14, 67)(15, 59)(16, 51)(17, 71)(18, 55)(19, 61)(20, 57)(21, 53)(22, 54)(23, 63)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.165
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y2 * Y3^2 * Y1, (Y3^-1, Y1^-1), (R * Y2)^2, (Y1, Y2^-1), (R * Y3)^2, Y1^-3 * Y2^3, (Y3 * Y2^-1)^4, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 24, 48, 23, 47, 16, 40, 5, 29)(3, 27, 9, 33, 4, 28, 10, 34, 19, 43, 17, 41, 22, 46, 15, 39)(6, 30, 11, 35, 20, 44, 13, 37, 21, 45, 14, 38, 7, 31, 12, 36)(49, 73, 51, 75, 61, 85, 66, 90, 58, 82, 55, 79, 64, 88, 70, 94, 59, 83, 50, 74, 57, 81, 69, 93, 72, 96, 67, 91, 60, 84, 53, 77, 63, 87, 68, 92, 56, 80, 52, 76, 62, 86, 71, 95, 65, 89, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 60)(5, 57)(6, 56)(7, 49)(8, 67)(9, 55)(10, 54)(11, 66)(12, 50)(13, 71)(14, 53)(15, 69)(16, 51)(17, 68)(18, 65)(19, 59)(20, 72)(21, 64)(22, 61)(23, 63)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 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 E18.163
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 16^3, 48 ]

E18.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y3^-1, Y2), (Y2^-1, Y1), Y3^-2 * Y1 * Y3^-1, (R * Y3)^2, Y1^-2 * Y2 * Y3^-1, Y2^-3 * Y1^-1, (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 24, 48, 23, 47, 16, 40, 5, 29)(3, 27, 9, 33, 19, 43, 17, 41, 22, 46, 15, 39, 4, 28, 10, 34)(6, 30, 11, 35, 7, 31, 12, 36, 20, 44, 14, 38, 21, 45, 13, 37)(49, 73, 51, 75, 61, 85, 53, 77, 58, 82, 69, 93, 64, 88, 52, 76, 62, 86, 71, 95, 63, 87, 68, 92, 72, 96, 70, 94, 60, 84, 66, 90, 65, 89, 55, 79, 56, 80, 67, 91, 59, 83, 50, 74, 57, 81, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 60)(5, 63)(6, 64)(7, 49)(8, 51)(9, 69)(10, 68)(11, 53)(12, 50)(13, 71)(14, 66)(15, 55)(16, 70)(17, 54)(18, 57)(19, 61)(20, 56)(21, 72)(22, 59)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 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 E18.164
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 16^3, 48 ]

E18.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y3^-2, Y1^4, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, 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^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 17, 41, 6, 30)(4, 28, 10, 34, 19, 43, 15, 39)(7, 31, 11, 35, 20, 44, 18, 42)(12, 36, 21, 45, 24, 48, 16, 40)(13, 37, 22, 46, 23, 47, 14, 38)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 65, 89, 53, 77, 54, 78)(52, 76, 60, 84, 58, 82, 69, 93, 67, 91, 72, 96, 63, 87, 64, 88)(55, 79, 61, 85, 59, 83, 70, 94, 68, 92, 71, 95, 66, 90, 62, 86)
	L = (1, 52)(2, 58)(3, 60)(4, 62)(5, 63)(6, 64)(7, 49)(8, 67)(9, 69)(10, 61)(11, 50)(12, 55)(13, 51)(14, 54)(15, 71)(16, 66)(17, 72)(18, 53)(19, 70)(20, 56)(21, 59)(22, 57)(23, 65)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.174
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y1^-4, (Y3^-1, Y1^-1), Y3^-3 * Y2^-1, (Y2^-1, Y3^-1), Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 6, 30, 10, 34, 13, 37)(4, 28, 9, 33, 19, 43, 16, 40)(7, 31, 11, 35, 20, 44, 18, 42)(12, 36, 17, 41, 22, 46, 23, 47)(14, 38, 15, 39, 21, 45, 24, 48)(49, 73, 51, 75, 53, 77, 61, 85, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 60, 84, 64, 88, 71, 95, 67, 91, 70, 94, 57, 81, 65, 89)(55, 79, 62, 86, 66, 90, 72, 96, 68, 92, 69, 93, 59, 83, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 67)(9, 69)(10, 70)(11, 50)(12, 55)(13, 71)(14, 51)(15, 54)(16, 62)(17, 59)(18, 53)(19, 72)(20, 56)(21, 58)(22, 68)(23, 66)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.173
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 8^6, 16^3 ]

E18.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, Y1^6, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 14, 38, 5, 29)(3, 27, 9, 33, 17, 41, 23, 47, 20, 44, 12, 36)(4, 28, 10, 34, 18, 42, 22, 46, 15, 39, 7, 31)(6, 30, 11, 35, 19, 43, 24, 48, 21, 45, 13, 37)(49, 73, 51, 75, 55, 79, 61, 85, 53, 77, 60, 84, 63, 87, 69, 93, 62, 86, 68, 92, 70, 94, 72, 96, 64, 88, 71, 95, 66, 90, 67, 91, 56, 80, 65, 89, 58, 82, 59, 83, 50, 74, 57, 81, 52, 76, 54, 78)
	L = (1, 52)(2, 58)(3, 54)(4, 50)(5, 55)(6, 57)(7, 49)(8, 66)(9, 59)(10, 56)(11, 65)(12, 61)(13, 51)(14, 63)(15, 53)(16, 70)(17, 67)(18, 64)(19, 71)(20, 69)(21, 60)(22, 62)(23, 72)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.172
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 12^4, 48 ]

E18.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2), (Y1^-1, Y2^-1), (R * Y1)^2, Y2^4 * Y1, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y2 * Y3^-1 * Y2 * Y1^-2, (Y3^-1 * Y2^-2)^2, Y1^6, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 17, 41, 5, 29)(3, 27, 9, 33, 23, 47, 21, 45, 16, 40, 14, 38)(4, 28, 10, 34, 12, 36, 20, 44, 19, 43, 7, 31)(6, 30, 11, 35, 15, 39, 13, 37, 24, 48, 18, 42)(49, 73, 51, 75, 60, 84, 66, 90, 53, 77, 62, 86, 58, 82, 72, 96, 65, 89, 64, 88, 52, 76, 61, 85, 70, 94, 69, 93, 55, 79, 63, 87, 56, 80, 71, 95, 67, 91, 59, 83, 50, 74, 57, 81, 68, 92, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 60)(9, 72)(10, 56)(11, 62)(12, 70)(13, 57)(14, 63)(15, 51)(16, 59)(17, 67)(18, 69)(19, 53)(20, 65)(21, 54)(22, 68)(23, 66)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.171
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 12^4, 48 ]

E18.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y1 * Y3 * Y1 * Y2, (R * Y3)^2, (R * Y2)^2, Y3^6 * Y2^-2, Y2^8, (Y3^-1 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 7, 31)(4, 28, 9, 33, 6, 30)(10, 34, 15, 39, 11, 35)(12, 36, 14, 38, 13, 37)(16, 40, 18, 42, 17, 41)(19, 43, 21, 45, 20, 44)(22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 58, 82, 64, 88, 70, 94, 67, 91, 62, 86, 54, 78)(50, 74, 56, 80, 63, 87, 66, 90, 72, 96, 69, 93, 61, 85, 52, 76)(53, 77, 55, 79, 59, 83, 65, 89, 71, 95, 68, 92, 60, 84, 57, 81)
	L = (1, 52)(2, 57)(3, 50)(4, 60)(5, 54)(6, 61)(7, 49)(8, 53)(9, 62)(10, 56)(11, 51)(12, 67)(13, 68)(14, 69)(15, 55)(16, 63)(17, 58)(18, 59)(19, 72)(20, 70)(21, 71)(22, 66)(23, 64)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.181
Graph:: bipartite
	v = 11 e = 48 f = 3
	degree seq :: [ 6^8, 16^3 ]

E18.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y2 * Y3^-2, (Y2^-1, Y3^-1), (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y2^3, (Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 14, 38)(4, 28, 9, 33, 16, 40)(6, 30, 10, 34, 18, 42)(7, 31, 11, 35, 19, 43)(12, 36, 17, 41, 22, 46)(13, 37, 21, 45, 24, 48)(15, 39, 20, 44, 23, 47)(49, 73, 51, 75, 60, 84, 64, 88, 72, 96, 59, 83, 68, 92, 54, 78)(50, 74, 56, 80, 65, 89, 52, 76, 61, 85, 67, 91, 71, 95, 58, 82)(53, 77, 62, 86, 70, 94, 57, 81, 69, 93, 55, 79, 63, 87, 66, 90)
	L = (1, 52)(2, 57)(3, 61)(4, 63)(5, 64)(6, 65)(7, 49)(8, 69)(9, 68)(10, 70)(11, 50)(12, 67)(13, 66)(14, 72)(15, 51)(16, 71)(17, 55)(18, 60)(19, 53)(20, 56)(21, 54)(22, 59)(23, 62)(24, 58)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.182
Graph:: bipartite
	v = 11 e = 48 f = 3
	degree seq :: [ 6^8, 16^3 ]

E18.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^3 * Y1^-2, Y2 * Y1^2 * Y3 * Y1, Y1^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 24, 48, 14, 38, 17, 41, 5, 29)(3, 27, 9, 33, 19, 43, 7, 31, 12, 36, 22, 46, 20, 44, 15, 39)(4, 28, 10, 34, 18, 42, 6, 30, 11, 35, 13, 37, 23, 47, 16, 40)(49, 73, 51, 75, 61, 85, 56, 80, 67, 91, 64, 88, 72, 96, 60, 84, 58, 82, 65, 89, 68, 92, 54, 78)(50, 74, 57, 81, 71, 95, 69, 93, 55, 79, 52, 76, 62, 86, 70, 94, 66, 90, 53, 77, 63, 87, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 51)(5, 64)(6, 55)(7, 49)(8, 66)(9, 65)(10, 57)(11, 60)(12, 50)(13, 70)(14, 61)(15, 72)(16, 63)(17, 71)(18, 67)(19, 53)(20, 69)(21, 54)(22, 56)(23, 68)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.179
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-2 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^3, (Y3^2 * Y2^-1)^2, Y1^8, Y3^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 24, 48, 23, 47, 15, 39, 5, 29)(3, 27, 9, 33, 18, 42, 14, 38, 13, 37, 22, 46, 17, 41, 7, 31)(4, 28, 10, 34, 21, 45, 19, 43, 12, 36, 11, 35, 16, 40, 6, 30)(49, 73, 51, 75, 59, 83, 63, 87, 65, 89, 67, 91, 72, 96, 61, 85, 58, 82, 56, 80, 66, 90, 54, 78)(50, 74, 57, 81, 64, 88, 53, 77, 55, 79, 60, 84, 71, 95, 70, 94, 69, 93, 68, 92, 62, 86, 52, 76)
	L = (1, 52)(2, 58)(3, 50)(4, 61)(5, 54)(6, 62)(7, 49)(8, 69)(9, 56)(10, 70)(11, 57)(12, 51)(13, 71)(14, 72)(15, 64)(16, 66)(17, 53)(18, 68)(19, 55)(20, 67)(21, 65)(22, 63)(23, 59)(24, 60)(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) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.180
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 16^3, 24^2 ]

E18.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y1, Y2^-1), (Y2^-1 * R)^2, Y3^8 * Y2, Y1^3 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 12, 36, 18, 42, 23, 47, 17, 41, 11, 35, 5, 29, 8, 32, 14, 38, 20, 44, 24, 48, 21, 45, 15, 39, 9, 33, 3, 27, 7, 31, 13, 37, 19, 43, 22, 46, 16, 40, 10, 34, 4, 28)(49, 73, 51, 75, 53, 77)(50, 74, 55, 79, 56, 80)(52, 76, 57, 81, 59, 83)(54, 78, 61, 85, 62, 86)(58, 82, 63, 87, 65, 89)(60, 84, 67, 91, 68, 92)(64, 88, 69, 93, 71, 95)(66, 90, 70, 94, 72, 96)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 60)(7, 61)(8, 62)(9, 51)(10, 52)(11, 53)(12, 66)(13, 67)(14, 68)(15, 57)(16, 58)(17, 59)(18, 71)(19, 70)(20, 72)(21, 63)(22, 64)(23, 65)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.177
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 6^8, 48 ]

E18.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y2, Y3), Y3^2 * Y1^-2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1^2, Y1^3 * Y3 * Y2^-1, Y2^-1 * Y3^3 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 15, 39, 23, 47, 13, 37, 22, 46, 18, 42, 6, 30, 11, 35, 19, 43, 7, 31, 12, 36, 4, 28, 10, 34, 14, 38, 3, 27, 9, 33, 21, 45, 20, 44, 24, 48, 16, 40, 17, 41, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 64, 88)(53, 77, 62, 86, 66, 90)(55, 79, 63, 87, 68, 92)(56, 80, 69, 93, 67, 91)(58, 82, 70, 94, 65, 89)(60, 84, 71, 95, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 64)(7, 49)(8, 62)(9, 70)(10, 63)(11, 65)(12, 50)(13, 69)(14, 71)(15, 51)(16, 67)(17, 55)(18, 72)(19, 53)(20, 54)(21, 66)(22, 68)(23, 57)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.178
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 6^8, 48 ]

E18.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (Y3, Y1^-1), Y1 * Y3 * Y2^-1 * Y3^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2^-1 * Y1^2, (Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 12, 36, 17, 41, 21, 45, 23, 47, 15, 39, 14, 38, 20, 44, 18, 42, 5, 29)(3, 27, 6, 30, 10, 34, 16, 40, 4, 28, 9, 33, 22, 46, 24, 48, 19, 43, 7, 31, 11, 35, 13, 37)(49, 73, 51, 75, 53, 77, 61, 85, 66, 90, 59, 83, 68, 92, 55, 79, 62, 86, 67, 91, 63, 87, 72, 96, 71, 95, 70, 94, 69, 93, 57, 81, 65, 89, 52, 76, 60, 84, 64, 88, 56, 80, 58, 82, 50, 74, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 70)(9, 62)(10, 69)(11, 50)(12, 72)(13, 56)(14, 51)(15, 61)(16, 71)(17, 67)(18, 58)(19, 53)(20, 54)(21, 55)(22, 68)(23, 59)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.175
Graph:: bipartite
	v = 3 e = 48 f = 11
	degree seq :: [ 24^2, 48 ]

E18.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y3^-1, Y2^-1), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^3 * Y3^-1, Y1 * Y3 * Y2 * Y1^2, Y2 * Y1 * Y3 * Y1^2, Y2^2 * Y3 * Y2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 16, 40, 12, 36, 23, 47, 20, 44, 15, 39, 13, 37, 17, 41, 5, 29)(3, 27, 9, 33, 19, 43, 7, 31, 4, 28, 10, 34, 18, 42, 6, 30, 11, 35, 22, 46, 24, 48, 14, 38)(49, 73, 51, 75, 60, 84, 58, 82, 65, 89, 72, 96, 69, 93, 55, 79, 63, 87, 59, 83, 50, 74, 57, 81, 71, 95, 66, 90, 53, 77, 62, 86, 64, 88, 52, 76, 61, 85, 70, 94, 56, 80, 67, 91, 68, 92, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 64)(7, 49)(8, 66)(9, 65)(10, 56)(11, 60)(12, 70)(13, 57)(14, 63)(15, 51)(16, 59)(17, 67)(18, 69)(19, 53)(20, 62)(21, 54)(22, 71)(23, 72)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.176
Graph:: bipartite
	v = 3 e = 48 f = 11
	degree seq :: [ 24^2, 48 ]

E18.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2, (R * Y1)^2, (Y3^-1, Y1), (Y1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y2^-4 * Y1, (Y1^-1 * Y2^-2)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 15, 39)(6, 30, 10, 34, 17, 41)(7, 31, 11, 35, 18, 42)(12, 36, 20, 44, 19, 43)(14, 38, 21, 45, 23, 47)(16, 40, 22, 46, 24, 48)(49, 73, 51, 75, 60, 84, 58, 82, 50, 74, 56, 80, 68, 92, 65, 89, 53, 77, 61, 85, 67, 91, 54, 78)(52, 76, 55, 79, 62, 86, 70, 94, 57, 81, 59, 83, 69, 93, 72, 96, 63, 87, 66, 90, 71, 95, 64, 88)
	L = (1, 52)(2, 57)(3, 55)(4, 54)(5, 63)(6, 64)(7, 49)(8, 59)(9, 58)(10, 70)(11, 50)(12, 62)(13, 66)(14, 51)(15, 65)(16, 67)(17, 72)(18, 53)(19, 71)(20, 69)(21, 56)(22, 60)(23, 61)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.186
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 6^8, 24^2 ]

E18.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y3), (Y1^-1, Y2^-1), Y2^-1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-4 * Y1, (Y2^-2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 14, 38)(4, 28, 9, 33, 15, 39)(6, 30, 10, 34, 16, 40)(7, 31, 11, 35, 17, 41)(12, 36, 20, 44, 18, 42)(13, 37, 21, 45, 24, 48)(19, 43, 22, 46, 23, 47)(49, 73, 51, 75, 60, 84, 58, 82, 50, 74, 56, 80, 68, 92, 64, 88, 53, 77, 62, 86, 66, 90, 54, 78)(52, 76, 61, 85, 71, 95, 65, 89, 57, 81, 69, 93, 67, 91, 55, 79, 63, 87, 72, 96, 70, 94, 59, 83)
	L = (1, 52)(2, 57)(3, 61)(4, 56)(5, 63)(6, 59)(7, 49)(8, 69)(9, 62)(10, 65)(11, 50)(12, 71)(13, 68)(14, 72)(15, 51)(16, 55)(17, 53)(18, 70)(19, 54)(20, 67)(21, 66)(22, 58)(23, 64)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.185
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 6^8, 24^2 ]

E18.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3 * Y2, Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1^3 * Y2^-1, (Y1^-1 * Y3^-1)^3, Y2^2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-4, Y3^4 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^12, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 19, 43, 13, 37, 5, 29)(3, 27, 7, 31, 15, 39, 23, 47, 20, 44, 11, 35, 18, 42, 10, 34)(4, 28, 8, 32, 16, 40, 9, 33, 17, 41, 24, 48, 21, 45, 12, 36)(49, 73, 51, 75, 57, 81, 62, 86, 71, 95, 69, 93, 61, 85, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 70, 94, 68, 92, 60, 84, 53, 77, 58, 82, 64, 88, 54, 78, 63, 87, 72, 96, 67, 91, 59, 83, 52, 76)
	L = (1, 52)(2, 56)(3, 49)(4, 59)(5, 60)(6, 64)(7, 50)(8, 66)(9, 51)(10, 53)(11, 67)(12, 68)(13, 69)(14, 57)(15, 54)(16, 58)(17, 55)(18, 61)(19, 72)(20, 70)(21, 71)(22, 65)(23, 62)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.184
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 16^3, 48 ]

E18.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 12, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^-1, (Y3, Y2^-1), (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1, Y1^-1 * Y2^-3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, Y3^-1 * Y2^-1 * Y1^-4, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 14, 38, 24, 48, 17, 41, 5, 29)(3, 27, 9, 33, 20, 44, 18, 42, 7, 31, 12, 36, 23, 47, 15, 39)(4, 28, 10, 34, 21, 45, 13, 37, 6, 30, 11, 35, 22, 46, 16, 40)(49, 73, 51, 75, 61, 85, 53, 77, 63, 87, 69, 93, 65, 89, 71, 95, 58, 82, 72, 96, 60, 84, 52, 76, 62, 86, 55, 79, 64, 88, 67, 91, 66, 90, 70, 94, 56, 80, 68, 92, 59, 83, 50, 74, 57, 81, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 57)(5, 64)(6, 60)(7, 49)(8, 69)(9, 72)(10, 68)(11, 71)(12, 50)(13, 55)(14, 54)(15, 67)(16, 51)(17, 70)(18, 53)(19, 61)(20, 65)(21, 66)(22, 63)(23, 56)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.183
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 16^3, 48 ]

E18.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2, Y1), (R * Y2 * Y3^-1)^2, Y2^6 * Y1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 20, 44, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 72, 96, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 71, 95, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 68, 92, 60, 84, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, Y2^6 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 23, 47, 24, 48, 20, 44)(49, 73, 51, 75, 57, 81, 65, 89, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 71, 95, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 72, 96, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 68, 92, 60, 84, 53, 77)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1, Y2^-1), (Y2^-1 * R)^2, (R * Y1)^2, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 7, 31, 10, 34, 11, 35)(6, 30, 8, 32, 12, 36, 13, 37)(9, 33, 15, 39, 18, 42, 19, 43)(14, 38, 16, 40, 20, 44, 21, 45)(17, 41, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 69, 93, 61, 85, 53, 77, 59, 83, 67, 91, 72, 96, 68, 92, 60, 84, 52, 76, 58, 82, 66, 90, 71, 95, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 70, 94, 62, 86, 54, 78)
	L = (1, 52)(2, 53)(3, 58)(4, 49)(5, 50)(6, 60)(7, 59)(8, 61)(9, 66)(10, 51)(11, 55)(12, 54)(13, 56)(14, 68)(15, 67)(16, 69)(17, 71)(18, 57)(19, 63)(20, 62)(21, 64)(22, 72)(23, 65)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.190
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2^-1), Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 7, 31, 10, 34, 11, 35)(6, 30, 8, 32, 12, 36, 13, 37)(9, 33, 15, 39, 18, 42, 19, 43)(14, 38, 16, 40, 20, 44, 21, 45)(17, 41, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 57, 81, 65, 89, 64, 88, 56, 80, 50, 74, 55, 79, 63, 87, 71, 95, 68, 92, 60, 84, 52, 76, 58, 82, 66, 90, 72, 96, 69, 93, 61, 85, 53, 77, 59, 83, 67, 91, 70, 94, 62, 86, 54, 78)
	L = (1, 52)(2, 53)(3, 58)(4, 49)(5, 50)(6, 60)(7, 59)(8, 61)(9, 66)(10, 51)(11, 55)(12, 54)(13, 56)(14, 68)(15, 67)(16, 69)(17, 72)(18, 57)(19, 63)(20, 62)(21, 64)(22, 71)(23, 70)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 48, 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.189
Graph:: bipartite
	v = 7 e = 48 f = 7
	degree seq :: [ 8^6, 48 ]

E18.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2^2, (Y3^-1, Y2), (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^2 * Y2^-1 * Y3^2 * Y1^-1, Y1^-1 * Y3^-4 * Y2^-1, (Y1 * Y2)^6, (Y2^-1 * Y3^-1 * Y1 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 6, 30)(4, 28, 9, 33, 14, 38)(7, 31, 10, 34, 16, 40)(11, 35, 19, 43, 15, 39)(12, 36, 20, 44, 17, 41)(13, 37, 21, 45, 24, 48)(18, 42, 22, 46, 23, 47)(49, 73, 51, 75, 50, 74, 56, 80, 53, 77, 54, 78)(52, 76, 59, 83, 57, 81, 67, 91, 62, 86, 63, 87)(55, 79, 60, 84, 58, 82, 68, 92, 64, 88, 65, 89)(61, 85, 71, 95, 69, 93, 66, 90, 72, 96, 70, 94)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 62)(6, 63)(7, 49)(8, 67)(9, 69)(10, 50)(11, 71)(12, 51)(13, 68)(14, 72)(15, 70)(16, 53)(17, 54)(18, 55)(19, 66)(20, 56)(21, 65)(22, 58)(23, 64)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E18.198
Graph:: bipartite
	v = 12 e = 48 f = 2
	degree seq :: [ 6^8, 12^4 ]

E18.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-3 * Y3, Y3 * Y1^-1 * Y3 * Y1, (Y2^-1 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1, Y2^-1), (R * Y1)^2, Y2^-4 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 5, 29)(3, 27, 8, 32, 17, 41, 12, 36, 20, 44, 13, 37)(6, 30, 10, 34, 18, 42, 14, 38, 21, 45, 15, 39)(11, 35, 19, 43, 23, 47, 22, 46, 24, 48, 16, 40)(49, 73, 51, 75, 59, 83, 58, 82, 50, 74, 56, 80, 67, 91, 66, 90, 55, 79, 65, 89, 71, 95, 62, 86, 52, 76, 60, 84, 70, 94, 69, 93, 57, 81, 68, 92, 72, 96, 63, 87, 53, 77, 61, 85, 64, 88, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 55)(6, 62)(7, 53)(8, 68)(9, 50)(10, 69)(11, 70)(12, 51)(13, 65)(14, 54)(15, 66)(16, 71)(17, 61)(18, 63)(19, 72)(20, 56)(21, 58)(22, 59)(23, 64)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.195
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 12^4, 48 ]

E18.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-3 * Y3, Y1 * Y3 * Y1^-1 * Y3, (Y2^-1 * R)^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y3 * Y2 * Y3 * Y2^-1, Y1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 5, 29)(3, 27, 8, 32, 17, 41, 12, 36, 19, 43, 13, 37)(6, 30, 10, 34, 18, 42, 14, 38, 20, 44, 15, 39)(11, 35, 16, 40, 21, 45, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 63, 87, 53, 77, 61, 85, 71, 95, 68, 92, 57, 81, 67, 91, 72, 96, 62, 86, 52, 76, 60, 84, 70, 94, 66, 90, 55, 79, 65, 89, 69, 93, 58, 82, 50, 74, 56, 80, 64, 88, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 55)(6, 62)(7, 53)(8, 67)(9, 50)(10, 68)(11, 70)(12, 51)(13, 65)(14, 54)(15, 66)(16, 72)(17, 61)(18, 63)(19, 56)(20, 58)(21, 71)(22, 59)(23, 69)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.196
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 12^4, 48 ]

E18.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y1, Y2^-1), Y3 * Y2^4, Y1^6, Y3^6, (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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 19, 43, 10, 34)(5, 29, 8, 32, 16, 40, 22, 46, 20, 44, 12, 36)(9, 33, 13, 37, 17, 41, 23, 47, 24, 48, 18, 42)(49, 73, 51, 75, 57, 81, 60, 84, 52, 76, 58, 82, 66, 90, 68, 92, 59, 83, 67, 91, 72, 96, 70, 94, 62, 86, 69, 93, 71, 95, 64, 88, 54, 78, 63, 87, 65, 89, 56, 80, 50, 74, 55, 79, 61, 85, 53, 77)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 61)(10, 51)(11, 52)(12, 53)(13, 65)(14, 59)(15, 69)(16, 70)(17, 71)(18, 57)(19, 58)(20, 60)(21, 67)(22, 68)(23, 72)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.197
Graph:: bipartite
	v = 5 e = 48 f = 9
	degree seq :: [ 12^4, 48 ]

E18.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (Y1^-1, Y2^-1), Y2 * Y3 * Y2^-1 * Y3, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y1^-2 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 11, 35, 21, 45, 24, 48, 16, 40, 6, 30, 10, 34, 20, 44, 13, 37, 4, 28, 9, 33, 19, 43, 12, 36, 3, 27, 8, 32, 18, 42, 23, 47, 14, 38, 22, 46, 15, 39, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 59, 83, 62, 86)(53, 77, 60, 84, 64, 88)(55, 79, 66, 90, 68, 92)(57, 81, 69, 93, 70, 94)(61, 85, 65, 89, 71, 95)(63, 87, 67, 91, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 67)(8, 69)(9, 50)(10, 70)(11, 51)(12, 65)(13, 53)(14, 54)(15, 68)(16, 71)(17, 60)(18, 72)(19, 55)(20, 63)(21, 56)(22, 58)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.192
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 6^8, 48 ]

E18.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (Y2, Y1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2, Y1^-1 * Y3 * Y2^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 17, 41, 14, 38, 22, 46, 24, 48, 12, 36, 3, 27, 8, 32, 18, 42, 13, 37, 4, 28, 9, 33, 19, 43, 16, 40, 6, 30, 10, 34, 20, 44, 23, 47, 11, 35, 21, 45, 15, 39, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 59, 83, 62, 86)(53, 77, 60, 84, 64, 88)(55, 79, 66, 90, 68, 92)(57, 81, 69, 93, 70, 94)(61, 85, 71, 95, 65, 89)(63, 87, 72, 96, 67, 91)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 67)(8, 69)(9, 50)(10, 70)(11, 51)(12, 71)(13, 53)(14, 54)(15, 66)(16, 65)(17, 64)(18, 63)(19, 55)(20, 72)(21, 56)(22, 58)(23, 60)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.193
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 6^8, 48 ]

E18.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1, Y2^3, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, (Y2 * Y3)^2, Y1^-1 * Y3 * Y1^-3, Y1^-1 * Y2 * 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, 25, 2, 26, 8, 32, 15, 39, 4, 28, 10, 34, 20, 44, 14, 38, 3, 27, 9, 33, 19, 43, 23, 47, 13, 37, 22, 46, 24, 48, 17, 41, 6, 30, 11, 35, 21, 45, 18, 42, 7, 31, 12, 36, 16, 40, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 55, 79)(53, 77, 62, 86, 65, 89)(56, 80, 67, 91, 69, 93)(58, 82, 70, 94, 60, 84)(63, 87, 71, 95, 66, 90)(64, 88, 68, 92, 72, 96)
	L = (1, 52)(2, 58)(3, 61)(4, 51)(5, 63)(6, 55)(7, 49)(8, 68)(9, 70)(10, 57)(11, 60)(12, 50)(13, 54)(14, 71)(15, 62)(16, 56)(17, 66)(18, 53)(19, 72)(20, 67)(21, 64)(22, 59)(23, 65)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.194
Graph:: bipartite
	v = 9 e = 48 f = 5
	degree seq :: [ 6^8, 48 ]

E18.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y2 * Y3 * Y1^-1 * Y2, Y3 * Y1^-3, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, (Y2, Y1^-1), (Y1 * Y2)^2, (R * Y3)^2, (Y2^-1 * R)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y2, Y2 * Y3^-4 * Y1, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 4, 28, 10, 34, 19, 43, 15, 39, 22, 46, 14, 38, 21, 45, 13, 37, 3, 27, 9, 33, 6, 30, 11, 35, 20, 44, 16, 40, 23, 47, 18, 42, 24, 48, 17, 41, 7, 31, 12, 36, 5, 29)(49, 73, 51, 75, 60, 84, 69, 93, 65, 89, 70, 94, 66, 90, 67, 91, 64, 88, 52, 76, 59, 83, 50, 74, 57, 81, 53, 77, 61, 85, 55, 79, 62, 86, 72, 96, 63, 87, 71, 95, 58, 82, 68, 92, 56, 80, 54, 78)
	L = (1, 52)(2, 58)(3, 59)(4, 63)(5, 56)(6, 64)(7, 49)(8, 67)(9, 68)(10, 70)(11, 71)(12, 50)(13, 54)(14, 51)(15, 69)(16, 72)(17, 53)(18, 55)(19, 62)(20, 66)(21, 57)(22, 61)(23, 65)(24, 60)(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) :: { ( 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 E18.191
Graph:: bipartite
	v = 2 e = 48 f = 12
	degree seq :: [ 48^2 ]

E18.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 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, Y2^13, Y3^26, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 5, 31)(4, 30, 6, 32)(7, 33, 9, 35)(8, 34, 10, 36)(11, 37, 13, 39)(12, 38, 14, 40)(15, 41, 17, 43)(16, 42, 18, 44)(19, 45, 21, 47)(20, 46, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 59, 85, 63, 89, 67, 93, 71, 97, 75, 101, 76, 102, 72, 98, 68, 94, 64, 90, 60, 86, 56, 82)(54, 80, 57, 83, 61, 87, 65, 91, 69, 95, 73, 99, 77, 103, 78, 104, 74, 100, 70, 96, 66, 92, 62, 88, 58, 84)
	L = (1, 56)(2, 58)(3, 53)(4, 60)(5, 54)(6, 62)(7, 55)(8, 64)(9, 57)(10, 66)(11, 59)(12, 68)(13, 61)(14, 70)(15, 63)(16, 72)(17, 65)(18, 74)(19, 67)(20, 76)(21, 69)(22, 78)(23, 71)(24, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.222
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 15, 41)(12, 38, 16, 42)(13, 39, 17, 43)(14, 40, 18, 44)(19, 45, 23, 49)(20, 46, 24, 50)(21, 47, 25, 51)(22, 48, 26, 52)(53, 79, 55, 81, 56, 82, 63, 89, 64, 90, 71, 97, 72, 98, 74, 100, 73, 99, 66, 92, 65, 91, 58, 84, 57, 83)(54, 80, 59, 85, 60, 86, 67, 93, 68, 94, 75, 101, 76, 102, 78, 104, 77, 103, 70, 96, 69, 95, 62, 88, 61, 87)
	L = (1, 56)(2, 60)(3, 63)(4, 64)(5, 55)(6, 53)(7, 67)(8, 68)(9, 59)(10, 54)(11, 71)(12, 72)(13, 57)(14, 58)(15, 75)(16, 76)(17, 61)(18, 62)(19, 74)(20, 73)(21, 65)(22, 66)(23, 78)(24, 77)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.229
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y3^-6, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 15, 41)(12, 38, 16, 42)(13, 39, 17, 43)(14, 40, 18, 44)(19, 45, 23, 49)(20, 46, 24, 50)(21, 47, 25, 51)(22, 48, 26, 52)(53, 79, 55, 81, 58, 84, 63, 89, 66, 92, 71, 97, 74, 100, 72, 98, 73, 99, 64, 90, 65, 91, 56, 82, 57, 83)(54, 80, 59, 85, 62, 88, 67, 93, 70, 96, 75, 101, 78, 104, 76, 102, 77, 103, 68, 94, 69, 95, 60, 86, 61, 87)
	L = (1, 56)(2, 60)(3, 57)(4, 64)(5, 65)(6, 53)(7, 61)(8, 68)(9, 69)(10, 54)(11, 55)(12, 72)(13, 73)(14, 58)(15, 59)(16, 76)(17, 77)(18, 62)(19, 63)(20, 71)(21, 74)(22, 66)(23, 67)(24, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.227
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * 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 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 17, 43)(12, 38, 18, 44)(13, 39, 19, 45)(14, 40, 20, 46)(15, 41, 21, 47)(16, 42, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 63, 89, 56, 82, 64, 90, 75, 101, 66, 92, 68, 94, 76, 102, 67, 93, 58, 84, 65, 91, 57, 83)(54, 80, 59, 85, 69, 95, 60, 86, 70, 96, 77, 103, 72, 98, 74, 100, 78, 104, 73, 99, 62, 88, 71, 97, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 63)(6, 53)(7, 70)(8, 72)(9, 69)(10, 54)(11, 75)(12, 68)(13, 55)(14, 67)(15, 57)(16, 58)(17, 77)(18, 74)(19, 59)(20, 73)(21, 61)(22, 62)(23, 76)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.228
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2^-2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y2^-1 * R)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 17, 43)(12, 38, 18, 44)(13, 39, 19, 45)(14, 40, 20, 46)(15, 41, 21, 47)(16, 42, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 63, 89, 58, 84, 65, 91, 75, 101, 68, 94, 66, 92, 76, 102, 67, 93, 56, 82, 64, 90, 57, 83)(54, 80, 59, 85, 69, 95, 62, 88, 71, 97, 77, 103, 74, 100, 72, 98, 78, 104, 73, 99, 60, 86, 70, 96, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 70)(8, 72)(9, 73)(10, 54)(11, 57)(12, 76)(13, 55)(14, 65)(15, 68)(16, 58)(17, 61)(18, 78)(19, 59)(20, 71)(21, 74)(22, 62)(23, 63)(24, 75)(25, 69)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.223
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y3^-1, Y2^-1), (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (Y2^-1 * R)^2, Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y2^4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 17, 43)(12, 38, 18, 44)(13, 39, 19, 45)(14, 40, 20, 46)(15, 41, 21, 47)(16, 42, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 63, 89, 67, 93, 56, 82, 64, 90, 75, 101, 76, 102, 66, 92, 58, 84, 65, 91, 68, 94, 57, 83)(54, 80, 59, 85, 69, 95, 73, 99, 60, 86, 70, 96, 77, 103, 78, 104, 72, 98, 62, 88, 71, 97, 74, 100, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 70)(8, 72)(9, 73)(10, 54)(11, 75)(12, 58)(13, 55)(14, 57)(15, 76)(16, 63)(17, 77)(18, 62)(19, 59)(20, 61)(21, 78)(22, 69)(23, 65)(24, 68)(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, 26, 52 ), ( 26, 52, 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 E18.226
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^3 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 17, 43)(12, 38, 18, 44)(13, 39, 19, 45)(14, 40, 20, 46)(15, 41, 21, 47)(16, 42, 22, 48)(23, 49, 25, 51)(24, 50, 26, 52)(53, 79, 55, 81, 63, 89, 68, 94, 58, 84, 65, 91, 75, 101, 76, 102, 66, 92, 56, 82, 64, 90, 67, 93, 57, 83)(54, 80, 59, 85, 69, 95, 74, 100, 62, 88, 71, 97, 77, 103, 78, 104, 72, 98, 60, 86, 70, 96, 73, 99, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 65)(5, 66)(6, 53)(7, 70)(8, 71)(9, 72)(10, 54)(11, 67)(12, 75)(13, 55)(14, 58)(15, 76)(16, 57)(17, 73)(18, 77)(19, 59)(20, 62)(21, 78)(22, 61)(23, 63)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.221
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^2 * Y2^3, Y3^-3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 19, 45)(12, 38, 20, 46)(13, 39, 21, 47)(14, 40, 22, 48)(15, 41, 23, 49)(16, 42, 24, 50)(17, 43, 25, 51)(18, 44, 26, 52)(53, 79, 55, 81, 63, 89, 70, 96, 67, 93, 56, 82, 64, 90, 69, 95, 58, 84, 65, 91, 66, 92, 68, 94, 57, 83)(54, 80, 59, 85, 71, 97, 78, 104, 75, 101, 60, 86, 72, 98, 77, 103, 62, 88, 73, 99, 74, 100, 76, 102, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 72)(8, 74)(9, 75)(10, 54)(11, 69)(12, 68)(13, 55)(14, 63)(15, 65)(16, 70)(17, 57)(18, 58)(19, 77)(20, 76)(21, 59)(22, 71)(23, 73)(24, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.230
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y3^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 19, 45)(12, 38, 20, 46)(13, 39, 21, 47)(14, 40, 22, 48)(15, 41, 23, 49)(16, 42, 24, 50)(17, 43, 25, 51)(18, 44, 26, 52)(53, 79, 55, 81, 63, 89, 66, 92, 69, 95, 58, 84, 65, 91, 67, 93, 56, 82, 64, 90, 70, 96, 68, 94, 57, 83)(54, 80, 59, 85, 71, 97, 74, 100, 77, 103, 62, 88, 73, 99, 75, 101, 60, 86, 72, 98, 78, 104, 76, 102, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 66)(5, 67)(6, 53)(7, 72)(8, 74)(9, 75)(10, 54)(11, 70)(12, 69)(13, 55)(14, 68)(15, 63)(16, 65)(17, 57)(18, 58)(19, 78)(20, 77)(21, 59)(22, 76)(23, 71)(24, 73)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.225
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^6 * Y3^-1, (Y3 * Y2^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 15, 41)(12, 38, 16, 42)(13, 39, 17, 43)(14, 40, 18, 44)(19, 45, 23, 49)(20, 46, 24, 50)(21, 47, 25, 51)(22, 48, 26, 52)(53, 79, 55, 81, 63, 89, 71, 97, 73, 99, 65, 91, 56, 82, 58, 84, 64, 90, 72, 98, 74, 100, 66, 92, 57, 83)(54, 80, 59, 85, 67, 93, 75, 101, 77, 103, 69, 95, 60, 86, 62, 88, 68, 94, 76, 102, 78, 104, 70, 96, 61, 87)
	L = (1, 56)(2, 60)(3, 58)(4, 57)(5, 65)(6, 53)(7, 62)(8, 61)(9, 69)(10, 54)(11, 64)(12, 55)(13, 66)(14, 73)(15, 68)(16, 59)(17, 70)(18, 77)(19, 72)(20, 63)(21, 74)(22, 71)(23, 76)(24, 67)(25, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.224
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^-6 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28)(3, 29, 7, 33)(4, 30, 8, 34)(5, 31, 9, 35)(6, 32, 10, 36)(11, 37, 15, 41)(12, 38, 16, 42)(13, 39, 17, 43)(14, 40, 18, 44)(19, 45, 23, 49)(20, 46, 24, 50)(21, 47, 25, 51)(22, 48, 26, 52)(53, 79, 55, 81, 63, 89, 71, 97, 74, 100, 66, 92, 58, 84, 56, 82, 64, 90, 72, 98, 73, 99, 65, 91, 57, 83)(54, 80, 59, 85, 67, 93, 75, 101, 78, 104, 70, 96, 62, 88, 60, 86, 68, 94, 76, 102, 77, 103, 69, 95, 61, 87)
	L = (1, 56)(2, 60)(3, 64)(4, 55)(5, 58)(6, 53)(7, 68)(8, 59)(9, 62)(10, 54)(11, 72)(12, 63)(13, 66)(14, 57)(15, 76)(16, 67)(17, 70)(18, 61)(19, 73)(20, 71)(21, 74)(22, 65)(23, 77)(24, 75)(25, 78)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.220
Graph:: bipartite
	v = 15 e = 52 f = 3
	degree seq :: [ 4^13, 26^2 ]

E18.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^-3 * Y1^-1, (Y1 * Y3)^2, (Y3^-1, Y1^-1), (Y2, Y1^-1), (R * Y1)^2, Y1^2 * Y3^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y1^-4 * Y2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 15, 41, 3, 29, 9, 35, 21, 47, 26, 52, 13, 39, 6, 32, 11, 37, 17, 43, 5, 31)(4, 30, 10, 36, 7, 33, 12, 38, 14, 40, 22, 48, 16, 42, 23, 49, 25, 51, 19, 45, 24, 50, 20, 46, 18, 44)(53, 79, 55, 81, 65, 91, 57, 83, 67, 93, 78, 104, 69, 95, 60, 86, 73, 99, 63, 89, 54, 80, 61, 87, 58, 84)(56, 82, 66, 92, 77, 103, 70, 96, 64, 90, 75, 101, 72, 98, 59, 85, 68, 94, 76, 102, 62, 88, 74, 100, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 59)(9, 74)(10, 57)(11, 76)(12, 54)(13, 77)(14, 60)(15, 64)(16, 55)(17, 72)(18, 63)(19, 78)(20, 58)(21, 68)(22, 67)(23, 61)(24, 65)(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) :: { ( 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 E18.218
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y2^2, Y3^2 * Y1^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), (Y2^-1, Y3), Y1 * Y2 * Y1^3, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 19, 45, 6, 32, 11, 37, 21, 47, 25, 51, 14, 40, 3, 29, 9, 35, 16, 42, 5, 31)(4, 30, 10, 36, 7, 33, 12, 38, 18, 44, 23, 49, 20, 46, 24, 50, 26, 52, 13, 39, 22, 48, 15, 41, 17, 43)(53, 79, 55, 81, 63, 89, 54, 80, 61, 87, 73, 99, 60, 86, 68, 94, 77, 103, 71, 97, 57, 83, 66, 92, 58, 84)(56, 82, 65, 91, 75, 101, 62, 88, 74, 100, 72, 98, 59, 85, 67, 93, 76, 102, 64, 90, 69, 95, 78, 104, 70, 96)
	L = (1, 56)(2, 62)(3, 65)(4, 68)(5, 69)(6, 70)(7, 53)(8, 59)(9, 74)(10, 57)(11, 75)(12, 54)(13, 77)(14, 78)(15, 55)(16, 67)(17, 61)(18, 60)(19, 64)(20, 58)(21, 72)(22, 66)(23, 71)(24, 63)(25, 76)(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) :: { ( 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 E18.216
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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)^2, (R * Y2)^2, (Y1^-1, Y3), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^2 * Y2^3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 15, 41, 3, 29, 9, 35, 20, 46, 6, 32, 11, 37, 13, 39, 17, 43, 5, 31)(4, 30, 10, 36, 7, 33, 12, 38, 23, 49, 14, 40, 24, 50, 16, 42, 19, 45, 25, 51, 22, 48, 26, 52, 18, 44)(53, 79, 55, 81, 65, 91, 60, 86, 72, 98, 57, 83, 67, 93, 63, 89, 54, 80, 61, 87, 69, 95, 73, 99, 58, 84)(56, 82, 66, 92, 74, 100, 59, 85, 68, 94, 70, 96, 75, 101, 77, 103, 62, 88, 76, 102, 78, 104, 64, 90, 71, 97)
	L = (1, 56)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 53)(8, 59)(9, 76)(10, 57)(11, 77)(12, 54)(13, 74)(14, 73)(15, 75)(16, 55)(17, 78)(18, 65)(19, 61)(20, 68)(21, 64)(22, 58)(23, 60)(24, 67)(25, 72)(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) :: { ( 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 E18.219
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 6, 32, 9, 35, 15, 41, 17, 43, 23, 49, 19, 45, 21, 47, 11, 37, 13, 39, 3, 29, 5, 31)(4, 30, 8, 34, 7, 33, 10, 36, 16, 42, 18, 44, 24, 50, 25, 51, 26, 52, 20, 46, 22, 48, 12, 38, 14, 40)(53, 79, 55, 81, 63, 89, 71, 97, 69, 95, 61, 87, 54, 80, 57, 83, 65, 91, 73, 99, 75, 101, 67, 93, 58, 84)(56, 82, 64, 90, 72, 98, 77, 103, 70, 96, 62, 88, 60, 86, 66, 92, 74, 100, 78, 104, 76, 102, 68, 94, 59, 85)
	L = (1, 56)(2, 60)(3, 64)(4, 55)(5, 66)(6, 59)(7, 53)(8, 57)(9, 62)(10, 54)(11, 72)(12, 63)(13, 74)(14, 65)(15, 68)(16, 58)(17, 70)(18, 61)(19, 77)(20, 71)(21, 78)(22, 73)(23, 76)(24, 67)(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) :: { ( 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 E18.215
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y3 * Y2^-2 * Y3 * Y2^3, Y1 * Y2^6, (Y3 * Y2^-1)^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 3, 29, 8, 34, 11, 37, 17, 43, 19, 45, 24, 50, 23, 49, 16, 42, 15, 41, 6, 32, 5, 31)(4, 30, 9, 35, 7, 33, 10, 36, 12, 38, 18, 44, 20, 46, 25, 51, 26, 52, 22, 48, 21, 47, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 71, 97, 75, 101, 67, 93, 57, 83, 54, 80, 60, 86, 69, 95, 76, 102, 68, 94, 58, 84)(56, 82, 59, 85, 64, 90, 72, 98, 78, 104, 73, 99, 65, 91, 61, 87, 62, 88, 70, 96, 77, 103, 74, 100, 66, 92)
	L = (1, 56)(2, 61)(3, 59)(4, 58)(5, 65)(6, 66)(7, 53)(8, 62)(9, 57)(10, 54)(11, 64)(12, 55)(13, 67)(14, 68)(15, 73)(16, 74)(17, 70)(18, 60)(19, 72)(20, 63)(21, 75)(22, 76)(23, 78)(24, 77)(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) :: { ( 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 E18.217
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-13 * Y2, (Y3 * Y2)^13, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 5, 31, 9, 35, 13, 39, 17, 43, 21, 47, 25, 51, 23, 49, 19, 45, 15, 41, 11, 37, 7, 33, 3, 29, 6, 32, 10, 36, 14, 40, 18, 44, 22, 48, 26, 52, 24, 50, 20, 46, 16, 42, 12, 38, 8, 34, 4, 30)(53, 79, 55, 81)(54, 80, 58, 84)(56, 82, 59, 85)(57, 83, 62, 88)(60, 86, 63, 89)(61, 87, 66, 92)(64, 90, 67, 93)(65, 91, 70, 96)(68, 94, 71, 97)(69, 95, 74, 100)(72, 98, 75, 101)(73, 99, 78, 104)(76, 102, 77, 103)
	L = (1, 54)(2, 57)(3, 58)(4, 53)(5, 61)(6, 62)(7, 55)(8, 56)(9, 65)(10, 66)(11, 59)(12, 60)(13, 69)(14, 70)(15, 63)(16, 64)(17, 73)(18, 74)(19, 67)(20, 68)(21, 77)(22, 78)(23, 71)(24, 72)(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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.213
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-2 * Y1 * Y3^-1, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-3 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 17, 43, 13, 39, 22, 48, 26, 52, 24, 50, 14, 40, 4, 30, 9, 35, 19, 45, 12, 38, 3, 29, 8, 34, 18, 44, 16, 42, 6, 32, 10, 36, 20, 46, 25, 51, 23, 49, 11, 37, 21, 47, 15, 41, 5, 31)(53, 79, 55, 81)(54, 80, 60, 86)(56, 82, 63, 89)(57, 83, 64, 90)(58, 84, 65, 91)(59, 85, 70, 96)(61, 87, 73, 99)(62, 88, 74, 100)(66, 92, 75, 101)(67, 93, 71, 97)(68, 94, 69, 95)(72, 98, 78, 104)(76, 102, 77, 103)
	L = (1, 56)(2, 61)(3, 63)(4, 62)(5, 66)(6, 53)(7, 71)(8, 73)(9, 72)(10, 54)(11, 74)(12, 75)(13, 55)(14, 58)(15, 76)(16, 57)(17, 64)(18, 67)(19, 77)(20, 59)(21, 78)(22, 60)(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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.211
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-1 * Y3^-2, Y2 * Y1^-1 * Y2 * Y1, (Y1, Y3^-1), (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 17, 43, 11, 37, 21, 47, 26, 52, 24, 50, 14, 40, 6, 32, 10, 36, 20, 46, 12, 38, 3, 29, 8, 34, 18, 44, 15, 41, 4, 30, 9, 35, 19, 45, 25, 51, 23, 49, 13, 39, 22, 48, 16, 42, 5, 31)(53, 79, 55, 81)(54, 80, 60, 86)(56, 82, 63, 89)(57, 83, 64, 90)(58, 84, 65, 91)(59, 85, 70, 96)(61, 87, 73, 99)(62, 88, 74, 100)(66, 92, 75, 101)(67, 93, 69, 95)(68, 94, 72, 98)(71, 97, 78, 104)(76, 102, 77, 103)
	L = (1, 56)(2, 61)(3, 63)(4, 66)(5, 67)(6, 53)(7, 71)(8, 73)(9, 58)(10, 54)(11, 75)(12, 69)(13, 55)(14, 57)(15, 76)(16, 70)(17, 77)(18, 78)(19, 62)(20, 59)(21, 65)(22, 60)(23, 64)(24, 68)(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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.214
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y2 * Y1 * Y2, (Y3, Y1), (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^5 * Y3^-1, Y1 * Y2 * Y3^-3 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 19, 45, 15, 41, 4, 30, 9, 35, 21, 47, 13, 39, 24, 50, 14, 40, 25, 51, 12, 38, 3, 29, 8, 34, 20, 46, 18, 44, 26, 52, 11, 37, 23, 49, 17, 43, 6, 32, 10, 36, 22, 48, 16, 42, 5, 31)(53, 79, 55, 81)(54, 80, 60, 86)(56, 82, 63, 89)(57, 83, 64, 90)(58, 84, 65, 91)(59, 85, 72, 98)(61, 87, 75, 101)(62, 88, 76, 102)(66, 92, 74, 100)(67, 93, 78, 104)(68, 94, 77, 103)(69, 95, 73, 99)(70, 96, 71, 97)
	L = (1, 56)(2, 61)(3, 63)(4, 66)(5, 67)(6, 53)(7, 73)(8, 75)(9, 77)(10, 54)(11, 74)(12, 78)(13, 55)(14, 72)(15, 76)(16, 71)(17, 57)(18, 58)(19, 65)(20, 69)(21, 64)(22, 59)(23, 68)(24, 60)(25, 70)(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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.210
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 26})
Quotient :: dipole
Aut^+ = C26 (small group id <26, 2>)
Aut   = D52 (small group id <52, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, Y1^-2 * Y3 * Y2, (R * Y1)^2, Y2 * Y1^2 * Y3^-1, Y2 * Y3^-2 * Y2 * Y3^2, Y3^6 * Y2 * Y1, (Y2 * Y3)^13, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 15, 41, 12, 38, 17, 43, 24, 50, 22, 48, 26, 52, 19, 45, 13, 39, 6, 32, 10, 36, 3, 29, 8, 34, 4, 30, 9, 35, 16, 42, 23, 49, 20, 46, 25, 51, 21, 47, 14, 40, 18, 44, 11, 37, 5, 31)(53, 79, 55, 81)(54, 80, 60, 86)(56, 82, 59, 85)(57, 83, 62, 88)(58, 84, 63, 89)(61, 87, 67, 93)(64, 90, 68, 94)(65, 91, 70, 96)(66, 92, 71, 97)(69, 95, 75, 101)(72, 98, 76, 102)(73, 99, 78, 104)(74, 100, 77, 103)
	L = (1, 56)(2, 61)(3, 59)(4, 64)(5, 60)(6, 53)(7, 68)(8, 67)(9, 69)(10, 54)(11, 55)(12, 72)(13, 57)(14, 58)(15, 75)(16, 76)(17, 77)(18, 62)(19, 63)(20, 78)(21, 65)(22, 66)(23, 74)(24, 73)(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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.212
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y1^-1)^2, (R * Y1)^2, Y2^2 * Y1^-2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y2^-4, Y2^2 * Y1^11, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	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, 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, 77)(24, 78)(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) :: { ( 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, 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 E18.209
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y2^2, (R * Y2)^2, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, Y1^4 * Y3 * Y1^2, (Y3^-1 * Y1^-1)^13 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 23, 49, 15, 41, 7, 33, 4, 30, 10, 36, 19, 45, 21, 47, 13, 39, 5, 31)(3, 29, 9, 35, 18, 44, 25, 51, 24, 50, 16, 42, 12, 38, 11, 37, 20, 46, 26, 52, 22, 48, 14, 40, 6, 32)(53, 79, 55, 81, 54, 80, 61, 87, 60, 86, 70, 96, 69, 95, 77, 103, 75, 101, 76, 102, 67, 93, 68, 94, 59, 85, 64, 90, 56, 82, 63, 89, 62, 88, 72, 98, 71, 97, 78, 104, 73, 99, 74, 100, 65, 91, 66, 92, 57, 83, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 54)(5, 59)(6, 64)(7, 53)(8, 71)(9, 72)(10, 60)(11, 61)(12, 55)(13, 67)(14, 68)(15, 57)(16, 58)(17, 73)(18, 78)(19, 69)(20, 70)(21, 75)(22, 76)(23, 65)(24, 66)(25, 74)(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) :: { ( 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, 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 E18.205
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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, Y1 * Y2^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-2 * Y2 * Y1^3, Y1^-6 * Y3 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 23, 49, 14, 40, 4, 30, 7, 33, 10, 36, 19, 45, 24, 50, 15, 41, 5, 31)(3, 29, 6, 32, 9, 35, 18, 44, 25, 51, 21, 47, 11, 37, 13, 39, 16, 42, 20, 46, 26, 52, 22, 48, 12, 38)(53, 79, 55, 81, 57, 83, 64, 90, 67, 93, 74, 100, 76, 102, 78, 104, 71, 97, 72, 98, 62, 88, 68, 94, 59, 85, 65, 91, 56, 82, 63, 89, 66, 92, 73, 99, 75, 101, 77, 103, 69, 95, 70, 96, 60, 86, 61, 87, 54, 80, 58, 84)
	L = (1, 56)(2, 59)(3, 63)(4, 57)(5, 66)(6, 65)(7, 53)(8, 62)(9, 68)(10, 54)(11, 64)(12, 73)(13, 55)(14, 67)(15, 75)(16, 58)(17, 71)(18, 72)(19, 60)(20, 61)(21, 74)(22, 77)(23, 76)(24, 69)(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) :: { ( 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, 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 E18.199
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y3^-1, Y3^-2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^3 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1 * Y2 * Y1^2 * Y3^-1, Y3^-1 * Y1 * Y2^24 ]
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, 19, 45, 24, 50, 14, 40, 22, 48, 26, 52, 17, 43, 6, 32, 11, 37, 20, 46, 23, 49, 13, 39)(53, 79, 55, 81, 64, 90, 74, 100, 62, 88, 72, 98, 60, 86, 71, 97, 77, 103, 69, 95, 57, 83, 65, 91, 59, 85, 66, 92, 56, 82, 63, 89, 54, 80, 61, 87, 73, 99, 78, 104, 68, 94, 75, 101, 70, 96, 76, 102, 67, 93, 58, 84)
	L = (1, 56)(2, 62)(3, 63)(4, 64)(5, 67)(6, 66)(7, 53)(8, 68)(9, 72)(10, 73)(11, 74)(12, 54)(13, 58)(14, 55)(15, 59)(16, 77)(17, 76)(18, 57)(19, 75)(20, 78)(21, 60)(22, 61)(23, 69)(24, 65)(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) :: { ( 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, 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 E18.203
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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), Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3, Y2^-1), (R * Y3)^2, Y3^2 * Y2^-2, Y3^-3 * Y1^-1, (R * Y2)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y1^2 * Y3^-1 * Y1^2, Y1^2 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y3 * Y2^22 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 17, 43, 4, 30, 10, 36, 20, 46, 24, 50, 13, 39, 7, 33, 12, 38, 18, 44, 5, 31)(3, 29, 9, 35, 19, 45, 25, 51, 14, 40, 6, 32, 11, 37, 21, 47, 23, 49, 16, 42, 22, 48, 26, 52, 15, 41)(53, 79, 55, 81, 65, 91, 75, 101, 69, 95, 77, 103, 70, 96, 78, 104, 72, 98, 63, 89, 54, 80, 61, 87, 59, 85, 68, 94, 56, 82, 66, 92, 57, 83, 67, 93, 76, 102, 73, 99, 60, 86, 71, 97, 64, 90, 74, 100, 62, 88, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 65)(5, 69)(6, 68)(7, 53)(8, 72)(9, 58)(10, 59)(11, 74)(12, 54)(13, 57)(14, 75)(15, 77)(16, 55)(17, 76)(18, 60)(19, 63)(20, 64)(21, 78)(22, 61)(23, 67)(24, 70)(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) :: { ( 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, 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 E18.208
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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^-2, (Y3^-1 * Y2)^2, (Y3, Y1), (Y2, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-2 * Y3^2, Y3^-4 * Y1, Y1^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1, Y3^2 * Y2^24 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 7, 33, 12, 38, 23, 49, 19, 45, 13, 39, 24, 50, 17, 43, 4, 30, 10, 36, 5, 31)(3, 29, 9, 35, 21, 47, 16, 42, 26, 52, 18, 44, 6, 32, 11, 37, 22, 48, 20, 46, 14, 40, 25, 51, 15, 41)(53, 79, 55, 81, 65, 91, 63, 89, 54, 80, 61, 87, 76, 102, 74, 100, 60, 86, 73, 99, 69, 95, 72, 98, 59, 85, 68, 94, 56, 82, 66, 92, 64, 90, 78, 104, 62, 88, 77, 103, 75, 101, 70, 96, 57, 83, 67, 93, 71, 97, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 65)(5, 69)(6, 68)(7, 53)(8, 57)(9, 77)(10, 76)(11, 78)(12, 54)(13, 64)(14, 63)(15, 72)(16, 55)(17, 71)(18, 73)(19, 59)(20, 58)(21, 67)(22, 70)(23, 60)(24, 75)(25, 74)(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) :: { ( 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, 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 E18.207
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y3^-1)^2, (Y3, Y2^-1), Y2^2 * Y3^-2, (Y1^-1, Y2), (Y1, Y3), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y3^4 * Y1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 4, 30, 10, 36, 22, 48, 13, 39, 19, 45, 25, 51, 18, 44, 7, 33, 12, 38, 5, 31)(3, 29, 9, 35, 21, 47, 14, 40, 20, 46, 26, 52, 17, 43, 6, 32, 11, 37, 23, 49, 16, 42, 24, 50, 15, 41)(53, 79, 55, 81, 65, 91, 69, 95, 57, 83, 67, 93, 74, 100, 78, 104, 64, 90, 76, 102, 62, 88, 72, 98, 59, 85, 68, 94, 56, 82, 66, 92, 70, 96, 75, 101, 60, 86, 73, 99, 77, 103, 63, 89, 54, 80, 61, 87, 71, 97, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 65)(5, 60)(6, 68)(7, 53)(8, 74)(9, 72)(10, 71)(11, 76)(12, 54)(13, 70)(14, 69)(15, 73)(16, 55)(17, 75)(18, 57)(19, 59)(20, 58)(21, 78)(22, 77)(23, 67)(24, 61)(25, 64)(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) :: { ( 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, 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 E18.204
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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, (R * Y2)^2, (Y1^-1, Y3), (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3 * Y2^2 * Y1^2, Y2^2 * Y3 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 13, 39, 20, 46, 7, 33, 12, 38, 17, 43, 4, 30, 10, 36, 21, 47, 18, 44, 5, 31)(3, 29, 9, 35, 22, 48, 24, 50, 26, 52, 16, 42, 23, 49, 25, 51, 14, 40, 19, 45, 6, 32, 11, 37, 15, 41)(53, 79, 55, 81, 65, 91, 76, 102, 64, 90, 75, 101, 62, 88, 71, 97, 57, 83, 67, 93, 60, 86, 74, 100, 59, 85, 68, 94, 56, 82, 66, 92, 70, 96, 63, 89, 54, 80, 61, 87, 72, 98, 78, 104, 69, 95, 77, 103, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 65)(5, 69)(6, 68)(7, 53)(8, 73)(9, 71)(10, 72)(11, 75)(12, 54)(13, 70)(14, 76)(15, 77)(16, 55)(17, 60)(18, 64)(19, 78)(20, 57)(21, 59)(22, 58)(23, 61)(24, 63)(25, 74)(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) :: { ( 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, 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 E18.201
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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^-2, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3, Y1^-1), Y2^2 * Y1^3, Y3 * Y1 * Y3 * Y1^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 8, 34, 21, 47, 17, 43, 4, 30, 10, 36, 20, 46, 7, 33, 12, 38, 13, 39, 18, 44, 5, 31)(3, 29, 9, 35, 19, 45, 6, 32, 11, 37, 14, 40, 23, 49, 26, 52, 16, 42, 24, 50, 25, 51, 22, 48, 15, 41)(53, 79, 55, 81, 65, 91, 77, 103, 72, 98, 78, 104, 69, 95, 63, 89, 54, 80, 61, 87, 70, 96, 74, 100, 59, 85, 68, 94, 56, 82, 66, 92, 60, 86, 71, 97, 57, 83, 67, 93, 64, 90, 76, 102, 62, 88, 75, 101, 73, 99, 58, 84)
	L = (1, 56)(2, 62)(3, 66)(4, 65)(5, 69)(6, 68)(7, 53)(8, 72)(9, 75)(10, 70)(11, 76)(12, 54)(13, 60)(14, 77)(15, 63)(16, 55)(17, 64)(18, 73)(19, 78)(20, 57)(21, 59)(22, 58)(23, 74)(24, 61)(25, 71)(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) :: { ( 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, 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 E18.202
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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, Y1), Y3^-2 * Y2^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y3^26 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 7, 33, 10, 36, 17, 43, 19, 45, 26, 52, 22, 48, 23, 49, 11, 37, 15, 41, 4, 30, 5, 31)(3, 29, 8, 34, 14, 40, 16, 42, 6, 32, 9, 35, 18, 44, 20, 46, 25, 51, 21, 47, 24, 50, 12, 38, 13, 39)(53, 79, 55, 81, 63, 89, 73, 99, 71, 97, 61, 87, 54, 80, 60, 86, 67, 93, 76, 102, 78, 104, 70, 96, 59, 85, 66, 92, 56, 82, 64, 90, 74, 100, 72, 98, 62, 88, 68, 94, 57, 83, 65, 91, 75, 101, 77, 103, 69, 95, 58, 84)
	L = (1, 56)(2, 57)(3, 64)(4, 63)(5, 67)(6, 66)(7, 53)(8, 65)(9, 68)(10, 54)(11, 74)(12, 73)(13, 76)(14, 55)(15, 75)(16, 60)(17, 59)(18, 58)(19, 62)(20, 61)(21, 72)(22, 71)(23, 78)(24, 77)(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) :: { ( 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, 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 E18.200
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 13, 13, 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 * Y2^2 * Y3^-1, (Y3^-1 * Y2)^2, (Y2^-1, Y1^-1), Y3^2 * Y2^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-2 * Y1^-1 * Y2^2, Y3^2 * Y2^4 * Y1, Y3^-19 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 27, 2, 28, 4, 30, 9, 35, 11, 37, 19, 45, 22, 48, 26, 52, 23, 49, 17, 43, 16, 42, 7, 33, 5, 31)(3, 29, 8, 34, 12, 38, 20, 46, 21, 47, 25, 51, 24, 50, 18, 44, 15, 41, 6, 32, 10, 36, 14, 40, 13, 39)(53, 79, 55, 81, 63, 89, 73, 99, 75, 101, 67, 93, 57, 83, 65, 91, 61, 87, 72, 98, 78, 104, 70, 96, 59, 85, 66, 92, 56, 82, 64, 90, 74, 100, 76, 102, 68, 94, 62, 88, 54, 80, 60, 86, 71, 97, 77, 103, 69, 95, 58, 84)
	L = (1, 56)(2, 61)(3, 64)(4, 63)(5, 54)(6, 66)(7, 53)(8, 72)(9, 71)(10, 65)(11, 74)(12, 73)(13, 60)(14, 55)(15, 62)(16, 57)(17, 59)(18, 58)(19, 78)(20, 77)(21, 76)(22, 75)(23, 68)(24, 67)(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) :: { ( 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, 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 E18.206
Graph:: bipartite
	v = 3 e = 52 f = 15
	degree seq :: [ 26^2, 52 ]

E18.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 26, 53)(23, 50, 25, 52, 27, 54)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 81, 108, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 80, 107, 77, 104, 71, 98, 65, 92, 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) :: { ( 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 10 e = 54 f = 10
	degree seq :: [ 6^9, 54 ]

E18.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, 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^-9, (Y3 * Y2^-1)^27 ]
Map::
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 27, 54)(23, 50, 25, 52, 26, 53)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 80, 107, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 81, 108, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 77, 104, 71, 98, 65, 92, 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) :: { ( 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 10 e = 54 f = 10
	degree seq :: [ 6^9, 54 ]

E18.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (Y2^-1 * R)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^8 * Y3^-1 * Y2, (Y2^-1 * Y1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 26, 53)(23, 50, 25, 52, 27, 54)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 81, 108, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 80, 107, 77, 104, 71, 98, 65, 92, 59, 86)
	L = (1, 56)(2, 58)(3, 60)(4, 55)(5, 61)(6, 63)(7, 64)(8, 66)(9, 57)(10, 59)(11, 67)(12, 69)(13, 70)(14, 72)(15, 62)(16, 65)(17, 73)(18, 75)(19, 76)(20, 78)(21, 68)(22, 71)(23, 79)(24, 80)(25, 81)(26, 74)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E18.234
Graph:: bipartite
	v = 10 e = 54 f = 10
	degree seq :: [ 6^9, 54 ]

E18.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 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, Y1^3, (Y2^-1 * R)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^-1 * Y2^-8, (Y2^-1 * Y1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 4, 31)(3, 30, 6, 33, 9, 36)(5, 32, 7, 34, 10, 37)(8, 35, 12, 39, 15, 42)(11, 38, 13, 40, 16, 43)(14, 41, 18, 45, 21, 48)(17, 44, 19, 46, 22, 49)(20, 47, 24, 51, 27, 54)(23, 50, 25, 52, 26, 53)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 80, 107, 76, 103, 70, 97, 64, 91, 58, 85, 63, 90, 69, 96, 75, 102, 81, 108, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 77, 104, 71, 98, 65, 92, 59, 86)
	L = (1, 56)(2, 58)(3, 60)(4, 55)(5, 61)(6, 63)(7, 64)(8, 66)(9, 57)(10, 59)(11, 67)(12, 69)(13, 70)(14, 72)(15, 62)(16, 65)(17, 73)(18, 75)(19, 76)(20, 78)(21, 68)(22, 71)(23, 79)(24, 81)(25, 80)(26, 77)(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) :: { ( 6, 54, 6, 54, 6, 54 ), ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E18.233
Graph:: bipartite
	v = 10 e = 54 f = 10
	degree seq :: [ 6^9, 54 ]

E18.235 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 7})
Quotient :: edge^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2^4, Y1^4, Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 11, 39, 19, 47, 20, 48, 12, 40, 5, 33)(2, 30, 7, 35, 15, 43, 23, 51, 24, 52, 16, 44, 8, 36)(3, 31, 9, 37, 17, 45, 25, 53, 26, 54, 18, 46, 10, 38)(6, 34, 13, 41, 21, 49, 27, 55, 28, 56, 22, 50, 14, 42)(57, 58, 62, 59)(60, 64, 69, 66)(61, 63, 70, 65)(67, 72, 77, 74)(68, 71, 78, 73)(75, 80, 83, 82)(76, 79, 84, 81)(85, 87, 90, 86)(88, 94, 97, 92)(89, 93, 98, 91)(95, 102, 105, 100)(96, 101, 106, 99)(103, 110, 111, 108)(104, 109, 112, 107)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.239
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.236 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 7})
Quotient :: edge^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^4, Y1^2 * Y2^2, Y1 * Y2^-2 * Y1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 9, 37, 13, 41, 22, 50, 7, 35)(2, 30, 10, 38, 19, 47, 6, 34, 21, 49, 26, 54, 12, 40)(3, 31, 14, 42, 27, 55, 18, 46, 5, 33, 20, 48, 16, 44)(8, 36, 23, 51, 25, 53, 11, 39, 15, 43, 28, 56, 24, 52)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 77, 67, 70)(72, 78, 75, 84)(73, 82, 81, 83)(85, 87, 92, 90)(86, 93, 89, 95)(88, 100, 107, 103)(91, 98, 108, 105)(94, 101, 104, 109)(96, 97, 102, 99)(106, 111, 112, 110)
	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) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.241
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.237 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 7})
Quotient :: edge^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^3 * Y1 * Y2, Y3 * Y1 * Y3^-2 * Y2, (Y3 * Y1^-1 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 17, 45, 13, 41, 9, 37, 22, 50, 7, 35)(2, 30, 10, 38, 25, 53, 19, 47, 6, 34, 21, 49, 12, 40)(3, 31, 14, 42, 18, 46, 5, 33, 20, 48, 28, 56, 16, 44)(8, 36, 23, 51, 27, 55, 15, 43, 11, 39, 26, 54, 24, 52)(57, 58, 64, 61)(59, 69, 62, 71)(60, 68, 79, 74)(63, 66, 80, 76)(65, 75, 67, 72)(70, 73, 77, 83)(78, 81, 82, 84)(85, 87, 92, 90)(86, 93, 89, 95)(88, 100, 107, 103)(91, 98, 108, 105)(94, 97, 104, 99)(96, 106, 102, 110)(101, 112, 111, 109)
	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) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.240
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.238 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 7, 7})
Quotient :: edge^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^7, Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 4, 32, 12, 40, 5, 33)(2, 30, 7, 35, 16, 44, 8, 36)(3, 31, 10, 38, 20, 48, 11, 39)(6, 34, 14, 42, 23, 51, 15, 43)(9, 37, 18, 46, 26, 54, 19, 47)(13, 41, 21, 49, 27, 55, 22, 50)(17, 45, 24, 52, 28, 56, 25, 53)(57, 58, 62, 69, 73, 65, 59)(60, 66, 74, 80, 77, 70, 63)(61, 67, 75, 81, 78, 71, 64)(68, 72, 79, 83, 84, 82, 76)(85, 87, 93, 101, 97, 90, 86)(88, 91, 98, 105, 108, 102, 94)(89, 92, 99, 106, 109, 103, 95)(96, 104, 110, 112, 111, 107, 100)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 16^7 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E18.242
Graph:: simple bipartite
	v = 15 e = 56 f = 7
	degree seq :: [ 7^8, 8^7 ]

E18.239 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 7})
Quotient :: loop^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2^4, Y1^4, Y3^7 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 11, 39, 67, 95, 19, 47, 75, 103, 20, 48, 76, 104, 12, 40, 68, 96, 5, 33, 61, 89)(2, 30, 58, 86, 7, 35, 63, 91, 15, 43, 71, 99, 23, 51, 79, 107, 24, 52, 80, 108, 16, 44, 72, 100, 8, 36, 64, 92)(3, 31, 59, 87, 9, 37, 65, 93, 17, 45, 73, 101, 25, 53, 81, 109, 26, 54, 82, 110, 18, 46, 74, 102, 10, 38, 66, 94)(6, 34, 62, 90, 13, 41, 69, 97, 21, 49, 77, 105, 27, 55, 83, 111, 28, 56, 84, 112, 22, 50, 78, 106, 14, 42, 70, 98)
	L = (1, 30)(2, 34)(3, 29)(4, 36)(5, 35)(6, 31)(7, 42)(8, 41)(9, 33)(10, 32)(11, 44)(12, 43)(13, 38)(14, 37)(15, 50)(16, 49)(17, 40)(18, 39)(19, 52)(20, 51)(21, 46)(22, 45)(23, 56)(24, 55)(25, 48)(26, 47)(27, 54)(28, 53)(57, 87)(58, 85)(59, 90)(60, 94)(61, 93)(62, 86)(63, 89)(64, 88)(65, 98)(66, 97)(67, 102)(68, 101)(69, 92)(70, 91)(71, 96)(72, 95)(73, 106)(74, 105)(75, 110)(76, 109)(77, 100)(78, 99)(79, 104)(80, 103)(81, 112)(82, 111)(83, 108)(84, 107)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.235
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.240 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 7})
Quotient :: loop^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y1^4, Y1^2 * Y2^2, Y1 * Y2^-2 * Y1, Y1 * Y3^-1 * Y1^-1 * Y3^-1, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 9, 37, 65, 93, 13, 41, 69, 97, 22, 50, 78, 106, 7, 35, 63, 91)(2, 30, 58, 86, 10, 38, 66, 94, 19, 47, 75, 103, 6, 34, 62, 90, 21, 49, 77, 105, 26, 54, 82, 110, 12, 40, 68, 96)(3, 31, 59, 87, 14, 42, 70, 98, 27, 55, 83, 111, 18, 46, 74, 102, 5, 33, 61, 89, 20, 48, 76, 104, 16, 44, 72, 100)(8, 36, 64, 92, 23, 51, 79, 107, 25, 53, 81, 109, 11, 39, 67, 95, 15, 43, 71, 99, 28, 56, 84, 112, 24, 52, 80, 108)
	L = (1, 30)(2, 36)(3, 41)(4, 40)(5, 29)(6, 43)(7, 38)(8, 33)(9, 49)(10, 52)(11, 42)(12, 51)(13, 34)(14, 37)(15, 31)(16, 50)(17, 54)(18, 32)(19, 56)(20, 35)(21, 39)(22, 47)(23, 46)(24, 48)(25, 55)(26, 53)(27, 45)(28, 44)(57, 87)(58, 93)(59, 92)(60, 100)(61, 95)(62, 85)(63, 98)(64, 90)(65, 89)(66, 101)(67, 86)(68, 97)(69, 102)(70, 108)(71, 96)(72, 107)(73, 104)(74, 99)(75, 88)(76, 109)(77, 91)(78, 111)(79, 103)(80, 105)(81, 94)(82, 106)(83, 112)(84, 110)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.237
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 7})
Quotient :: loop^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = C4 x D14 (small group id <56, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^3 * Y1 * Y2, Y3 * Y1 * Y3^-2 * Y2, (Y3 * Y1^-1 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 17, 45, 73, 101, 13, 41, 69, 97, 9, 37, 65, 93, 22, 50, 78, 106, 7, 35, 63, 91)(2, 30, 58, 86, 10, 38, 66, 94, 25, 53, 81, 109, 19, 47, 75, 103, 6, 34, 62, 90, 21, 49, 77, 105, 12, 40, 68, 96)(3, 31, 59, 87, 14, 42, 70, 98, 18, 46, 74, 102, 5, 33, 61, 89, 20, 48, 76, 104, 28, 56, 84, 112, 16, 44, 72, 100)(8, 36, 64, 92, 23, 51, 79, 107, 27, 55, 83, 111, 15, 43, 71, 99, 11, 39, 67, 95, 26, 54, 82, 110, 24, 52, 80, 108)
	L = (1, 30)(2, 36)(3, 41)(4, 40)(5, 29)(6, 43)(7, 38)(8, 33)(9, 47)(10, 52)(11, 44)(12, 51)(13, 34)(14, 45)(15, 31)(16, 37)(17, 49)(18, 32)(19, 39)(20, 35)(21, 55)(22, 53)(23, 46)(24, 48)(25, 54)(26, 56)(27, 42)(28, 50)(57, 87)(58, 93)(59, 92)(60, 100)(61, 95)(62, 85)(63, 98)(64, 90)(65, 89)(66, 97)(67, 86)(68, 106)(69, 104)(70, 108)(71, 94)(72, 107)(73, 112)(74, 110)(75, 88)(76, 99)(77, 91)(78, 102)(79, 103)(80, 105)(81, 101)(82, 96)(83, 109)(84, 111)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.236
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 7, 7})
Quotient :: loop^2
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^7, Y1^7 ]
Map:: non-degenerate
	R = (1, 29, 57, 85, 4, 32, 60, 88, 12, 40, 68, 96, 5, 33, 61, 89)(2, 30, 58, 86, 7, 35, 63, 91, 16, 44, 72, 100, 8, 36, 64, 92)(3, 31, 59, 87, 10, 38, 66, 94, 20, 48, 76, 104, 11, 39, 67, 95)(6, 34, 62, 90, 14, 42, 70, 98, 23, 51, 79, 107, 15, 43, 71, 99)(9, 37, 65, 93, 18, 46, 74, 102, 26, 54, 82, 110, 19, 47, 75, 103)(13, 41, 69, 97, 21, 49, 77, 105, 27, 55, 83, 111, 22, 50, 78, 106)(17, 45, 73, 101, 24, 52, 80, 108, 28, 56, 84, 112, 25, 53, 81, 109)
	L = (1, 30)(2, 34)(3, 29)(4, 38)(5, 39)(6, 41)(7, 32)(8, 33)(9, 31)(10, 46)(11, 47)(12, 44)(13, 45)(14, 35)(15, 36)(16, 51)(17, 37)(18, 52)(19, 53)(20, 40)(21, 42)(22, 43)(23, 55)(24, 49)(25, 50)(26, 48)(27, 56)(28, 54)(57, 87)(58, 85)(59, 93)(60, 91)(61, 92)(62, 86)(63, 98)(64, 99)(65, 101)(66, 88)(67, 89)(68, 104)(69, 90)(70, 105)(71, 106)(72, 96)(73, 97)(74, 94)(75, 95)(76, 110)(77, 108)(78, 109)(79, 100)(80, 102)(81, 103)(82, 112)(83, 107)(84, 111)
	local type(s) :: { ( 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.238
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 15
	degree seq :: [ 16^7 ]

E18.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^7, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 8, 36, 13, 41, 10, 38)(5, 33, 7, 35, 14, 42, 11, 39)(9, 37, 16, 44, 21, 49, 18, 46)(12, 40, 15, 43, 22, 50, 19, 47)(17, 45, 24, 52, 27, 55, 25, 53)(20, 48, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 76, 104, 68, 96, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(60, 88, 67, 95, 75, 103, 82, 110, 81, 109, 74, 102, 66, 94)(62, 90, 69, 97, 77, 105, 83, 111, 84, 112, 78, 106, 70, 98)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2 * Y1 * Y3^-1 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^4, Y3 * Y1 * Y2^-1 * Y1^-1, Y2^7, (Y1^-1 * Y2^-1)^4, (Y3 * Y2^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 5, 33)(3, 31, 8, 36, 13, 41, 10, 38)(4, 32, 7, 35, 14, 42, 12, 40)(9, 37, 16, 44, 21, 49, 18, 46)(11, 39, 15, 43, 22, 50, 20, 48)(17, 45, 24, 52, 27, 55, 25, 53)(19, 47, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 75, 103, 67, 95, 60, 88)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(61, 89, 68, 96, 76, 104, 82, 110, 81, 109, 74, 102, 66, 94)(62, 90, 69, 97, 77, 105, 83, 111, 84, 112, 78, 106, 70, 98)
	L = (1, 60)(2, 64)(3, 57)(4, 67)(5, 66)(6, 70)(7, 58)(8, 72)(9, 59)(10, 74)(11, 75)(12, 61)(13, 62)(14, 78)(15, 63)(16, 80)(17, 65)(18, 81)(19, 73)(20, 68)(21, 69)(22, 84)(23, 71)(24, 79)(25, 82)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.248
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^3 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 19, 47, 14, 42)(4, 32, 12, 40, 20, 48, 16, 44)(6, 34, 9, 37, 21, 49, 17, 45)(7, 35, 10, 38, 22, 50, 18, 46)(13, 41, 24, 52, 27, 55, 25, 53)(15, 43, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 60, 88, 69, 97, 71, 99, 63, 91, 62, 90)(58, 86, 65, 93, 66, 94, 79, 107, 80, 108, 68, 96, 67, 95)(61, 89, 73, 101, 74, 102, 82, 110, 81, 109, 72, 100, 70, 98)(64, 92, 75, 103, 76, 104, 83, 111, 84, 112, 78, 106, 77, 105)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 74)(6, 59)(7, 57)(8, 76)(9, 79)(10, 80)(11, 65)(12, 58)(13, 63)(14, 73)(15, 62)(16, 61)(17, 82)(18, 81)(19, 83)(20, 84)(21, 75)(22, 64)(23, 68)(24, 67)(25, 70)(26, 72)(27, 78)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y2 * Y3^-3, Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y2^-1)^2, (R * Y1)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 19, 47, 13, 41)(4, 32, 12, 40, 20, 48, 15, 43)(6, 34, 9, 37, 21, 49, 17, 45)(7, 35, 10, 38, 22, 50, 18, 46)(14, 42, 24, 52, 27, 55, 25, 53)(16, 44, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 63, 91, 70, 98, 72, 100, 60, 88, 62, 90)(58, 86, 65, 93, 68, 96, 79, 107, 80, 108, 66, 94, 67, 95)(61, 89, 73, 101, 71, 99, 82, 110, 81, 109, 74, 102, 69, 97)(64, 92, 75, 103, 78, 106, 83, 111, 84, 112, 76, 104, 77, 105)
	L = (1, 60)(2, 66)(3, 62)(4, 70)(5, 74)(6, 72)(7, 57)(8, 76)(9, 67)(10, 79)(11, 80)(12, 58)(13, 81)(14, 59)(15, 61)(16, 63)(17, 69)(18, 82)(19, 77)(20, 83)(21, 84)(22, 64)(23, 65)(24, 68)(25, 71)(26, 73)(27, 75)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.247
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2, Y1^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 19, 47, 14, 42)(4, 32, 12, 40, 20, 48, 16, 44)(6, 34, 9, 37, 21, 49, 17, 45)(7, 35, 10, 38, 22, 50, 18, 46)(13, 41, 24, 52, 27, 55, 25, 53)(15, 43, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 69, 97, 60, 88, 63, 91, 71, 99, 62, 90)(58, 86, 65, 93, 79, 107, 66, 94, 68, 96, 80, 108, 67, 95)(61, 89, 73, 101, 82, 110, 74, 102, 72, 100, 81, 109, 70, 98)(64, 92, 75, 103, 83, 111, 76, 104, 78, 106, 84, 112, 77, 105)
	L = (1, 60)(2, 66)(3, 63)(4, 62)(5, 74)(6, 69)(7, 57)(8, 76)(9, 68)(10, 67)(11, 79)(12, 58)(13, 71)(14, 82)(15, 59)(16, 61)(17, 72)(18, 70)(19, 78)(20, 77)(21, 83)(22, 64)(23, 80)(24, 65)(25, 73)(26, 81)(27, 84)(28, 75)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.246
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
Quotient :: dipole
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2^-3 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y1^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 11, 39, 19, 47, 15, 43)(4, 32, 12, 40, 20, 48, 16, 44)(6, 34, 9, 37, 21, 49, 17, 45)(7, 35, 10, 38, 22, 50, 18, 46)(13, 41, 24, 52, 27, 55, 25, 53)(14, 42, 23, 51, 28, 56, 26, 54)(57, 85, 59, 87, 69, 97, 63, 91, 60, 88, 70, 98, 62, 90)(58, 86, 65, 93, 79, 107, 68, 96, 66, 94, 80, 108, 67, 95)(61, 89, 73, 101, 82, 110, 72, 100, 74, 102, 81, 109, 71, 99)(64, 92, 75, 103, 83, 111, 78, 106, 76, 104, 84, 112, 77, 105)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 74)(6, 63)(7, 57)(8, 76)(9, 80)(10, 65)(11, 68)(12, 58)(13, 62)(14, 69)(15, 72)(16, 61)(17, 81)(18, 73)(19, 84)(20, 75)(21, 78)(22, 64)(23, 67)(24, 79)(25, 82)(26, 71)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.244
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 7, 7})
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, R^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y1^4, (R * Y2 * Y3^-1)^2, Y2^7, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 25, 53)(20, 48, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 76, 104, 68, 96, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 80, 108, 72, 100, 64, 92)(60, 88, 66, 94, 74, 102, 81, 109, 82, 110, 75, 103, 67, 95)(62, 90, 69, 97, 77, 105, 83, 111, 84, 112, 78, 106, 70, 98)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 11 e = 56 f = 11
	degree seq :: [ 8^7, 14^4 ]

E18.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, Y3^-2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3^-2 * Y2^5, Y3^-2 * Y2 * Y3^-4, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 7, 35)(4, 32, 8, 36)(5, 33, 9, 37)(6, 34, 10, 38)(11, 39, 16, 44)(12, 40, 17, 45)(13, 41, 18, 46)(14, 42, 19, 47)(15, 43, 20, 48)(21, 49, 25, 53)(22, 50, 26, 54)(23, 51, 27, 55)(24, 52, 28, 56)(57, 85, 59, 87, 67, 95, 77, 105, 80, 108, 70, 98, 61, 89)(58, 86, 63, 91, 72, 100, 81, 109, 84, 112, 75, 103, 65, 93)(60, 88, 68, 96, 62, 90, 69, 97, 78, 106, 79, 107, 71, 99)(64, 92, 73, 101, 66, 94, 74, 102, 82, 110, 83, 111, 76, 104)
	L = (1, 60)(2, 64)(3, 68)(4, 70)(5, 71)(6, 57)(7, 73)(8, 75)(9, 76)(10, 58)(11, 62)(12, 61)(13, 59)(14, 79)(15, 80)(16, 66)(17, 65)(18, 63)(19, 83)(20, 84)(21, 69)(22, 67)(23, 77)(24, 78)(25, 74)(26, 72)(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) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.262
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^7, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 7, 35)(4, 32, 8, 36)(5, 33, 9, 37)(6, 34, 10, 38)(11, 39, 15, 43)(12, 40, 16, 44)(13, 41, 17, 45)(14, 42, 18, 46)(19, 47, 23, 51)(20, 48, 24, 52)(21, 49, 25, 53)(22, 50, 26, 54)(27, 55, 28, 56)(57, 85, 59, 87, 67, 95, 75, 103, 78, 106, 70, 98, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 82, 110, 74, 102, 65, 93)(60, 88, 62, 90, 68, 96, 76, 104, 83, 111, 77, 105, 69, 97)(64, 92, 66, 94, 72, 100, 80, 108, 84, 112, 81, 109, 73, 101)
	L = (1, 60)(2, 64)(3, 62)(4, 61)(5, 69)(6, 57)(7, 66)(8, 65)(9, 73)(10, 58)(11, 68)(12, 59)(13, 70)(14, 77)(15, 72)(16, 63)(17, 74)(18, 81)(19, 76)(20, 67)(21, 78)(22, 83)(23, 80)(24, 71)(25, 82)(26, 84)(27, 75)(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) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.263
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 * Y2^2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (Y2^-1 * R)^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, Y3^-2 * Y2^-2, (Y1, Y3^-1), Y2^3 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2^2 * Y1^5, Y2^2 * Y1 * Y2^2 * Y3^-2, Y2^8 * Y1^-1, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 15, 43, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 18, 46, 6, 34, 11, 39)(4, 32, 10, 38, 7, 35, 12, 40, 21, 49, 25, 53, 16, 44)(13, 41, 22, 50, 14, 42, 23, 51, 28, 56, 17, 45, 24, 52)(57, 85, 59, 87, 64, 92, 76, 104, 82, 110, 74, 102, 61, 89, 67, 95, 58, 86, 65, 93, 75, 103, 83, 111, 71, 99, 62, 90)(60, 88, 69, 97, 63, 91, 70, 98, 77, 105, 84, 112, 72, 100, 80, 108, 66, 94, 78, 106, 68, 96, 79, 107, 81, 109, 73, 101)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 73)(7, 57)(8, 63)(9, 78)(10, 61)(11, 80)(12, 58)(13, 62)(14, 59)(15, 81)(16, 82)(17, 83)(18, 84)(19, 68)(20, 70)(21, 64)(22, 67)(23, 65)(24, 74)(25, 75)(26, 77)(27, 79)(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) :: { ( 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 E18.260
Graph:: bipartite
	v = 6 e = 56 f = 16
	degree seq :: [ 14^4, 28^2 ]

E18.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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^-1 * Y3^-1)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3, Y2^-1), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y1^-1, Y3), Y1 * Y2 * Y1^2 * Y2, Y2^-4 * Y1, Y1^-1 * Y3^2 * Y2^-2, Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 13, 41, 17, 45, 5, 33)(3, 31, 9, 37, 20, 48, 6, 34, 11, 39, 23, 51, 15, 43)(4, 32, 10, 38, 7, 35, 12, 40, 24, 52, 28, 56, 18, 46)(14, 42, 25, 53, 16, 44, 19, 47, 26, 54, 22, 50, 27, 55)(57, 85, 59, 87, 69, 97, 67, 95, 58, 86, 65, 93, 73, 101, 79, 107, 64, 92, 76, 104, 61, 89, 71, 99, 77, 105, 62, 90)(60, 88, 70, 98, 80, 108, 82, 110, 66, 94, 81, 109, 84, 112, 78, 106, 63, 91, 72, 100, 74, 102, 83, 111, 68, 96, 75, 103)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 63)(9, 81)(10, 61)(11, 82)(12, 58)(13, 80)(14, 79)(15, 83)(16, 59)(17, 84)(18, 69)(19, 65)(20, 72)(21, 68)(22, 62)(23, 78)(24, 64)(25, 71)(26, 76)(27, 67)(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) :: { ( 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 E18.259
Graph:: bipartite
	v = 6 e = 56 f = 16
	degree seq :: [ 14^4, 28^2 ]

E18.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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^-1)^2, (R * Y3)^2, Y3^-2 * Y1^-2, (Y3, Y2), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^-2 * Y1 * Y2^-2, Y2 * Y1 * Y2^3, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 21, 49, 17, 45, 5, 33)(3, 31, 9, 37, 23, 51, 20, 48, 6, 34, 11, 39, 15, 43)(4, 32, 10, 38, 7, 35, 12, 40, 24, 52, 28, 56, 18, 46)(14, 42, 25, 53, 16, 44, 26, 54, 19, 47, 27, 55, 22, 50)(57, 85, 59, 87, 69, 97, 76, 104, 61, 89, 71, 99, 64, 92, 79, 107, 73, 101, 67, 95, 58, 86, 65, 93, 77, 105, 62, 90)(60, 88, 70, 98, 68, 96, 82, 110, 74, 102, 78, 106, 63, 91, 72, 100, 84, 112, 83, 111, 66, 94, 81, 109, 80, 108, 75, 103)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 63)(9, 81)(10, 61)(11, 83)(12, 58)(13, 68)(14, 67)(15, 78)(16, 59)(17, 84)(18, 77)(19, 79)(20, 82)(21, 80)(22, 62)(23, 72)(24, 64)(25, 71)(26, 65)(27, 76)(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) :: { ( 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 E18.257
Graph:: bipartite
	v = 6 e = 56 f = 16
	degree seq :: [ 14^4, 28^2 ]

E18.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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^-1 * Y2^2, (Y3 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2)^2, Y3 * Y2 * Y3 * Y2 * Y1, Y3^-2 * Y1^5, Y3^-2 * Y1 * Y3^-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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 24, 52, 14, 42, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 25, 53, 17, 45, 6, 34)(4, 32, 10, 38, 7, 35, 11, 39, 21, 49, 23, 51, 15, 43)(12, 40, 18, 46, 13, 41, 22, 50, 28, 56, 26, 54, 16, 44)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 76, 104, 75, 103, 83, 111, 80, 108, 81, 109, 70, 98, 73, 101, 61, 89, 62, 90)(60, 88, 68, 96, 66, 94, 74, 102, 63, 91, 69, 97, 67, 95, 78, 106, 77, 105, 84, 112, 79, 107, 82, 110, 71, 99, 72, 100)
	L = (1, 60)(2, 66)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 63)(9, 74)(10, 61)(11, 58)(12, 73)(13, 59)(14, 79)(15, 80)(16, 81)(17, 82)(18, 62)(19, 67)(20, 69)(21, 64)(22, 65)(23, 75)(24, 77)(25, 84)(26, 83)(27, 78)(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) :: { ( 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 E18.261
Graph:: bipartite
	v = 6 e = 56 f = 16
	degree seq :: [ 14^4, 28^2 ]

E18.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1, Y3^-1), (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^6 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 26, 54, 15, 43, 5, 33)(3, 31, 6, 34, 10, 38, 20, 48, 27, 55, 23, 51, 13, 41)(4, 32, 9, 37, 7, 35, 11, 39, 21, 49, 25, 53, 16, 44)(12, 40, 17, 45, 14, 42, 18, 46, 22, 50, 28, 56, 24, 52)(57, 85, 59, 87, 61, 89, 69, 97, 71, 99, 79, 107, 82, 110, 83, 111, 75, 103, 76, 104, 64, 92, 66, 94, 58, 86, 62, 90)(60, 88, 68, 96, 72, 100, 80, 108, 81, 109, 84, 112, 77, 105, 78, 106, 67, 95, 74, 102, 63, 91, 70, 98, 65, 93, 73, 101)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 72)(6, 73)(7, 57)(8, 63)(9, 61)(10, 70)(11, 58)(12, 79)(13, 80)(14, 59)(15, 81)(16, 82)(17, 69)(18, 62)(19, 67)(20, 74)(21, 64)(22, 66)(23, 84)(24, 83)(25, 75)(26, 77)(27, 78)(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) :: { ( 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 E18.258
Graph:: bipartite
	v = 6 e = 56 f = 16
	degree seq :: [ 14^4, 28^2 ]

E18.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y2^2, R^2, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (Y3, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y1^6 * Y3 * Y2, (Y1^-1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 16, 44, 25, 53, 22, 50, 13, 41, 20, 48, 11, 39, 19, 47, 28, 56, 23, 51, 14, 42, 5, 33)(3, 31, 8, 36, 17, 45, 26, 54, 24, 52, 15, 43, 6, 34, 10, 38, 4, 32, 9, 37, 18, 46, 27, 55, 21, 49, 12, 40)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 67, 95)(61, 89, 68, 96)(62, 90, 69, 97)(63, 91, 73, 101)(65, 93, 75, 103)(66, 94, 76, 104)(70, 98, 77, 105)(71, 99, 78, 106)(72, 100, 82, 110)(74, 102, 84, 112)(79, 107, 83, 111)(80, 108, 81, 109)
	L = (1, 60)(2, 65)(3, 67)(4, 63)(5, 66)(6, 57)(7, 74)(8, 75)(9, 72)(10, 58)(11, 73)(12, 76)(13, 59)(14, 62)(15, 61)(16, 83)(17, 84)(18, 81)(19, 82)(20, 64)(21, 69)(22, 68)(23, 71)(24, 70)(25, 77)(26, 79)(27, 78)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.254
Graph:: bipartite
	v = 16 e = 56 f = 6
	degree seq :: [ 4^14, 28^2 ]

E18.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y2^2, R^2, Y3^-1 * Y1^-2 * Y2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y3^-1 * Y2, (Y1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^6 * Y1^-2, Y3^-1 * Y1^10 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 14, 42, 18, 46, 24, 52, 28, 56, 27, 55, 21, 49, 12, 40, 17, 45, 11, 39, 5, 33)(3, 31, 8, 36, 6, 34, 10, 38, 16, 44, 23, 51, 22, 50, 26, 54, 20, 48, 25, 53, 19, 47, 13, 41, 4, 32, 9, 37)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 67, 95)(61, 89, 65, 93)(62, 90, 63, 91)(66, 94, 71, 99)(68, 96, 75, 103)(69, 97, 73, 101)(70, 98, 72, 100)(74, 102, 79, 107)(76, 104, 83, 111)(77, 105, 81, 109)(78, 106, 80, 108)(82, 110, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 68)(5, 69)(6, 57)(7, 59)(8, 61)(9, 73)(10, 58)(11, 75)(12, 76)(13, 77)(14, 62)(15, 64)(16, 63)(17, 81)(18, 66)(19, 83)(20, 80)(21, 82)(22, 70)(23, 71)(24, 72)(25, 84)(26, 74)(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) :: { ( 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, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.256
Graph:: bipartite
	v = 16 e = 56 f = 6
	degree seq :: [ 4^14, 28^2 ]

E18.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y2^2, R^2, Y1^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y1^-2 * Y3 * Y2, (R * Y1)^2, Y3^6 * Y1^2, Y3 * Y1^10 * Y3, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 12, 40, 17, 45, 24, 52, 28, 56, 27, 55, 21, 49, 14, 42, 18, 46, 11, 39, 5, 33)(3, 31, 8, 36, 4, 32, 9, 37, 16, 44, 23, 51, 20, 48, 25, 53, 22, 50, 26, 54, 19, 47, 13, 41, 6, 34, 10, 38)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 63, 91)(61, 89, 66, 94)(62, 90, 67, 95)(65, 93, 71, 99)(68, 96, 72, 100)(69, 97, 74, 102)(70, 98, 75, 103)(73, 101, 79, 107)(76, 104, 80, 108)(77, 105, 82, 110)(78, 106, 83, 111)(81, 109, 84, 112)
	L = (1, 60)(2, 65)(3, 63)(4, 68)(5, 64)(6, 57)(7, 72)(8, 71)(9, 73)(10, 58)(11, 59)(12, 76)(13, 61)(14, 62)(15, 79)(16, 80)(17, 81)(18, 66)(19, 67)(20, 83)(21, 69)(22, 70)(23, 84)(24, 78)(25, 77)(26, 74)(27, 75)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.253
Graph:: bipartite
	v = 16 e = 56 f = 6
	degree seq :: [ 4^14, 28^2 ]

E18.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (Y3, Y1), Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^3 * Y2 * Y1^-2, Y3^-4 * Y1^-2, Y1^-1 * Y2 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-2 * Y1 * Y2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 13, 41, 24, 52, 14, 42, 25, 53, 18, 46, 26, 54, 11, 39, 23, 51, 16, 44, 5, 33)(3, 31, 8, 36, 20, 48, 17, 45, 6, 34, 10, 38, 22, 50, 28, 56, 27, 55, 15, 43, 4, 32, 9, 37, 21, 49, 12, 40)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 67, 95)(61, 89, 68, 96)(62, 90, 69, 97)(63, 91, 76, 104)(65, 93, 79, 107)(66, 94, 80, 108)(70, 98, 78, 106)(71, 99, 82, 110)(72, 100, 77, 105)(73, 101, 75, 103)(74, 102, 83, 111)(81, 109, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 70)(5, 71)(6, 57)(7, 77)(8, 79)(9, 81)(10, 58)(11, 78)(12, 82)(13, 59)(14, 76)(15, 80)(16, 83)(17, 61)(18, 62)(19, 68)(20, 72)(21, 74)(22, 63)(23, 84)(24, 64)(25, 73)(26, 66)(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) :: { ( 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, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.252
Graph:: bipartite
	v = 16 e = 56 f = 6
	degree seq :: [ 4^14, 28^2 ]

E18.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 :: [ Y2^2, R^2, (Y3, Y1), Y2 * Y3^-1 * Y2 * Y3, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-4, Y1 * Y3 * Y1 * Y3 * Y2 * Y3, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y3^7 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 19, 47, 11, 39, 23, 51, 18, 46, 26, 54, 14, 42, 25, 53, 13, 41, 24, 52, 16, 44, 5, 33)(3, 31, 8, 36, 20, 48, 15, 43, 4, 32, 9, 37, 21, 49, 28, 56, 27, 55, 17, 45, 6, 34, 10, 38, 22, 50, 12, 40)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 67, 95)(61, 89, 68, 96)(62, 90, 69, 97)(63, 91, 76, 104)(65, 93, 79, 107)(66, 94, 80, 108)(70, 98, 83, 111)(71, 99, 75, 103)(72, 100, 78, 106)(73, 101, 81, 109)(74, 102, 77, 105)(82, 110, 84, 112)
	L = (1, 60)(2, 65)(3, 67)(4, 70)(5, 71)(6, 57)(7, 77)(8, 79)(9, 81)(10, 58)(11, 83)(12, 75)(13, 59)(14, 78)(15, 82)(16, 76)(17, 61)(18, 62)(19, 84)(20, 74)(21, 69)(22, 63)(23, 73)(24, 64)(25, 68)(26, 66)(27, 72)(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, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.255
Graph:: bipartite
	v = 16 e = 56 f = 6
	degree seq :: [ 4^14, 28^2 ]

E18.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 * Y3^2 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1, (Y3^-1, Y1^-1), Y3^-2 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y2, Y1^-1), Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2^12, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 15, 43, 4, 32, 10, 38, 21, 49, 18, 46, 7, 35, 12, 40, 23, 51, 16, 44, 5, 33)(3, 31, 9, 37, 20, 48, 17, 45, 6, 34, 11, 39, 22, 50, 27, 55, 26, 54, 14, 42, 24, 52, 28, 56, 25, 53, 13, 41)(57, 85, 59, 87, 68, 96, 80, 108, 66, 94, 78, 106, 64, 92, 76, 104, 72, 100, 81, 109, 74, 102, 82, 110, 71, 99, 62, 90)(58, 86, 65, 93, 79, 107, 84, 112, 77, 105, 83, 111, 75, 103, 73, 101, 61, 89, 69, 97, 63, 91, 70, 98, 60, 88, 67, 95)
	L = (1, 60)(2, 66)(3, 67)(4, 68)(5, 71)(6, 70)(7, 57)(8, 77)(9, 78)(10, 79)(11, 80)(12, 58)(13, 62)(14, 59)(15, 63)(16, 75)(17, 82)(18, 61)(19, 74)(20, 83)(21, 72)(22, 84)(23, 64)(24, 65)(25, 73)(26, 69)(27, 81)(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) :: { ( 4, 14, 4, 14, 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 E18.250
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 7, 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 * Y3, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3, Y2^-1), (Y3^-1, Y1^-1), (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y1^-1, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y1^-2 * Y2)^2, Y1^-1 * Y3^-1 * Y1^-4, Y1^-1 * Y3^-1 * Y2^12 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 13, 41, 7, 35, 12, 40, 23, 51, 17, 45, 4, 32, 10, 38, 21, 49, 18, 46, 5, 33)(3, 31, 9, 37, 20, 48, 27, 55, 25, 53, 16, 44, 24, 52, 28, 56, 26, 54, 14, 42, 6, 34, 11, 39, 22, 50, 15, 43)(57, 85, 59, 87, 69, 97, 81, 109, 73, 101, 82, 110, 74, 102, 78, 106, 64, 92, 76, 104, 68, 96, 80, 108, 66, 94, 62, 90)(58, 86, 65, 93, 63, 91, 72, 100, 60, 88, 70, 98, 61, 89, 71, 99, 75, 103, 83, 111, 79, 107, 84, 112, 77, 105, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 69)(5, 73)(6, 72)(7, 57)(8, 77)(9, 62)(10, 63)(11, 80)(12, 58)(13, 61)(14, 81)(15, 82)(16, 59)(17, 75)(18, 79)(19, 74)(20, 67)(21, 68)(22, 84)(23, 64)(24, 65)(25, 71)(26, 83)(27, 78)(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) :: { ( 4, 14, 4, 14, 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 E18.251
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 6})
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, Y1 * Y3 * Y2^-2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1 * Y2^-2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y1^5, Y1 * Y3^-1 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^4, Y3 * Y1^2 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 5, 35)(3, 33, 13, 43, 28, 58, 22, 52, 9, 39)(4, 34, 10, 40, 23, 53, 21, 51, 18, 48)(6, 36, 15, 45, 29, 59, 24, 54, 11, 41)(7, 37, 12, 42, 17, 47, 27, 57, 20, 50)(14, 44, 26, 56, 16, 46, 30, 60, 25, 55)(61, 91, 63, 93, 70, 100, 86, 116, 80, 110, 66, 96)(62, 92, 69, 99, 83, 113, 74, 104, 67, 97, 71, 101)(64, 94, 76, 106, 87, 117, 75, 105, 65, 95, 73, 103)(68, 98, 82, 112, 81, 111, 85, 115, 72, 102, 84, 114)(77, 107, 89, 119, 79, 109, 88, 118, 78, 108, 90, 120)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 69)(7, 61)(8, 83)(9, 85)(10, 87)(11, 82)(12, 62)(13, 86)(14, 84)(15, 63)(16, 66)(17, 68)(18, 72)(19, 81)(20, 65)(21, 67)(22, 90)(23, 80)(24, 88)(25, 89)(26, 71)(27, 79)(28, 76)(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) :: { ( 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 E18.265
Graph:: bipartite
	v = 11 e = 60 f = 15
	degree seq :: [ 10^6, 12^5 ]

E18.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 6, 6})
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, Y1^2 * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-5 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 9, 39, 3, 33, 5, 35)(4, 34, 13, 43, 15, 45, 17, 47, 11, 41, 10, 40)(7, 37, 16, 46, 18, 48, 8, 38, 12, 42, 19, 49)(14, 44, 26, 56, 28, 58, 22, 52, 23, 53, 25, 55)(20, 50, 30, 60, 27, 57, 29, 59, 24, 54, 21, 51)(61, 91, 63, 93, 66, 96)(62, 92, 65, 95, 69, 99)(64, 94, 71, 101, 75, 105)(67, 97, 72, 102, 78, 108)(68, 98, 76, 106, 79, 109)(70, 100, 77, 107, 73, 103)(74, 104, 83, 113, 88, 118)(80, 110, 84, 114, 87, 117)(81, 111, 89, 119, 90, 120)(82, 112, 86, 116, 85, 115)
	L = (1, 64)(2, 68)(3, 71)(4, 74)(5, 76)(6, 75)(7, 61)(8, 81)(9, 79)(10, 62)(11, 83)(12, 63)(13, 69)(14, 87)(15, 88)(16, 89)(17, 65)(18, 66)(19, 90)(20, 67)(21, 85)(22, 70)(23, 80)(24, 72)(25, 73)(26, 77)(27, 78)(28, 84)(29, 82)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.264
Graph:: bipartite
	v = 15 e = 60 f = 11
	degree seq :: [ 6^10, 12^5 ]

E18.266 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 10, 40, 16, 46, 22, 52, 28, 58, 23, 53, 17, 47, 11, 41, 5, 35)(2, 32, 6, 36, 12, 42, 18, 48, 24, 54, 29, 59, 25, 55, 19, 49, 13, 43, 7, 37)(3, 33, 8, 38, 14, 44, 20, 50, 26, 56, 30, 60, 27, 57, 21, 51, 15, 45, 9, 39)(61, 62, 63)(64, 68, 66)(65, 69, 67)(70, 72, 74)(71, 73, 75)(76, 80, 78)(77, 81, 79)(82, 84, 86)(83, 85, 87)(88, 90, 89)(91, 93, 92)(94, 96, 98)(95, 97, 99)(100, 104, 102)(101, 105, 103)(106, 108, 110)(107, 109, 111)(112, 116, 114)(113, 117, 115)(118, 119, 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) :: { ( 40^3 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.268
Graph:: simple bipartite
	v = 23 e = 60 f = 3
	degree seq :: [ 3^20, 20^3 ]

E18.267 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 5, 35)(2, 32, 7, 37, 8, 38)(3, 33, 10, 40, 11, 41)(6, 36, 13, 43, 14, 44)(9, 39, 16, 46, 17, 47)(12, 42, 19, 49, 20, 50)(15, 45, 22, 52, 23, 53)(18, 48, 25, 55, 26, 56)(21, 51, 27, 57, 28, 58)(24, 54, 29, 59, 30, 60)(61, 62, 66, 72, 78, 84, 81, 75, 69, 63)(64, 68, 73, 80, 85, 90, 87, 83, 76, 71)(65, 67, 74, 79, 86, 89, 88, 82, 77, 70)(91, 93, 99, 105, 111, 114, 108, 102, 96, 92)(94, 101, 106, 113, 117, 120, 115, 110, 103, 98)(95, 100, 107, 112, 118, 119, 116, 109, 104, 97)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12^6 ), ( 12^10 ) }
Outer automorphisms :: reflexible
Dual of E18.269
Graph:: simple bipartite
	v = 16 e = 60 f = 10
	degree seq :: [ 6^10, 10^6 ]

E18.268 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y1^3, Y2^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 10, 40, 70, 100, 16, 46, 76, 106, 22, 52, 82, 112, 28, 58, 88, 118, 23, 53, 83, 113, 17, 47, 77, 107, 11, 41, 71, 101, 5, 35, 65, 95)(2, 32, 62, 92, 6, 36, 66, 96, 12, 42, 72, 102, 18, 48, 78, 108, 24, 54, 84, 114, 29, 59, 89, 119, 25, 55, 85, 115, 19, 49, 79, 109, 13, 43, 73, 103, 7, 37, 67, 97)(3, 33, 63, 93, 8, 38, 68, 98, 14, 44, 74, 104, 20, 50, 80, 110, 26, 56, 86, 116, 30, 60, 90, 120, 27, 57, 87, 117, 21, 51, 81, 111, 15, 45, 75, 105, 9, 39, 69, 99)
	L = (1, 32)(2, 33)(3, 31)(4, 38)(5, 39)(6, 34)(7, 35)(8, 36)(9, 37)(10, 42)(11, 43)(12, 44)(13, 45)(14, 40)(15, 41)(16, 50)(17, 51)(18, 46)(19, 47)(20, 48)(21, 49)(22, 54)(23, 55)(24, 56)(25, 57)(26, 52)(27, 53)(28, 60)(29, 58)(30, 59)(61, 93)(62, 91)(63, 92)(64, 96)(65, 97)(66, 98)(67, 99)(68, 94)(69, 95)(70, 104)(71, 105)(72, 100)(73, 101)(74, 102)(75, 103)(76, 108)(77, 109)(78, 110)(79, 111)(80, 106)(81, 107)(82, 116)(83, 117)(84, 112)(85, 113)(86, 114)(87, 115)(88, 119)(89, 120)(90, 118)
	local type(s) :: { ( 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.266
Transitivity :: VT+
Graph::
	v = 3 e = 60 f = 23
	degree seq :: [ 40^3 ]

E18.269 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = C10 x S3 (small group id <60, 11>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 8, 38, 68, 98)(3, 33, 63, 93, 10, 40, 70, 100, 11, 41, 71, 101)(6, 36, 66, 96, 13, 43, 73, 103, 14, 44, 74, 104)(9, 39, 69, 99, 16, 46, 76, 106, 17, 47, 77, 107)(12, 42, 72, 102, 19, 49, 79, 109, 20, 50, 80, 110)(15, 45, 75, 105, 22, 52, 82, 112, 23, 53, 83, 113)(18, 48, 78, 108, 25, 55, 85, 115, 26, 56, 86, 116)(21, 51, 81, 111, 27, 57, 87, 117, 28, 58, 88, 118)(24, 54, 84, 114, 29, 59, 89, 119, 30, 60, 90, 120)
	L = (1, 32)(2, 36)(3, 31)(4, 38)(5, 37)(6, 42)(7, 44)(8, 43)(9, 33)(10, 35)(11, 34)(12, 48)(13, 50)(14, 49)(15, 39)(16, 41)(17, 40)(18, 54)(19, 56)(20, 55)(21, 45)(22, 47)(23, 46)(24, 51)(25, 60)(26, 59)(27, 53)(28, 52)(29, 58)(30, 57)(61, 93)(62, 91)(63, 99)(64, 101)(65, 100)(66, 92)(67, 95)(68, 94)(69, 105)(70, 107)(71, 106)(72, 96)(73, 98)(74, 97)(75, 111)(76, 113)(77, 112)(78, 102)(79, 104)(80, 103)(81, 114)(82, 118)(83, 117)(84, 108)(85, 110)(86, 109)(87, 120)(88, 119)(89, 116)(90, 115)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E18.267
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 60 f = 16
	degree seq :: [ 12^10 ]

E18.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 10, 10})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 4, 34)(3, 33, 8, 38, 6, 36)(5, 35, 10, 40, 7, 37)(9, 39, 12, 42, 14, 44)(11, 41, 13, 43, 16, 46)(15, 45, 20, 50, 18, 48)(17, 47, 22, 52, 19, 49)(21, 51, 24, 54, 26, 56)(23, 53, 25, 55, 28, 58)(27, 57, 30, 60, 29, 59)(61, 91, 63, 93, 69, 99, 75, 105, 81, 111, 87, 117, 83, 113, 77, 107, 71, 101, 65, 95)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(64, 94, 68, 98, 74, 104, 80, 110, 86, 116, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 13 e = 60 f = 13
	degree seq :: [ 6^10, 20^3 ]

E18.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 10, 10})
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, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2^-2 * R)^2, Y2^10, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34)(3, 33, 8, 38, 6, 36)(5, 35, 10, 40, 7, 37)(9, 39, 12, 42, 14, 44)(11, 41, 13, 43, 16, 46)(15, 45, 20, 50, 18, 48)(17, 47, 22, 52, 19, 49)(21, 51, 24, 54, 26, 56)(23, 53, 25, 55, 28, 58)(27, 57, 30, 60, 29, 59)(61, 91, 63, 93, 69, 99, 75, 105, 81, 111, 87, 117, 83, 113, 77, 107, 71, 101, 65, 95)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(64, 94, 68, 98, 74, 104, 80, 110, 86, 116, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 70)(6, 63)(7, 65)(8, 66)(9, 72)(10, 67)(11, 73)(12, 74)(13, 76)(14, 69)(15, 80)(16, 71)(17, 82)(18, 75)(19, 77)(20, 78)(21, 84)(22, 79)(23, 85)(24, 86)(25, 88)(26, 81)(27, 90)(28, 83)(29, 87)(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) :: { ( 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 selfdual
Graph:: bipartite
	v = 13 e = 60 f = 13
	degree seq :: [ 6^10, 20^3 ]

E18.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 10, 10})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 31, 2, 32, 4, 34)(3, 33, 6, 36, 9, 39)(5, 35, 7, 37, 10, 40)(8, 38, 12, 42, 15, 45)(11, 41, 13, 43, 16, 46)(14, 44, 18, 48, 21, 51)(17, 47, 19, 49, 22, 52)(20, 50, 24, 54, 27, 57)(23, 53, 25, 55, 28, 58)(26, 56, 29, 59, 30, 60)(61, 91, 63, 93, 68, 98, 74, 104, 80, 110, 86, 116, 83, 113, 77, 107, 71, 101, 65, 95)(62, 92, 66, 96, 72, 102, 78, 108, 84, 114, 89, 119, 85, 115, 79, 109, 73, 103, 67, 97)(64, 94, 69, 99, 75, 105, 81, 111, 87, 117, 90, 120, 88, 118, 82, 112, 76, 106, 70, 100)
	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) :: { ( 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 selfdual
Graph:: bipartite
	v = 13 e = 60 f = 13
	degree seq :: [ 6^10, 20^3 ]

E18.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, (Y3 * Y2)^2, Y2^-2 * Y3^-2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (Y2^-1 * R)^2, Y3^-2 * Y2^3, Y2^-2 * Y1 * Y3^-2 * Y1, Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 14, 44)(5, 35, 9, 39)(6, 36, 17, 47)(8, 38, 21, 51)(10, 40, 24, 54)(11, 41, 18, 48)(12, 42, 25, 55)(13, 43, 26, 56)(15, 45, 22, 52)(16, 46, 28, 58)(19, 49, 29, 59)(20, 50, 30, 60)(23, 53, 27, 57)(61, 91, 63, 93, 71, 101, 75, 105, 65, 95)(62, 92, 67, 97, 78, 108, 82, 112, 69, 99)(64, 94, 72, 102, 66, 96, 73, 103, 76, 106)(68, 98, 79, 109, 70, 100, 80, 110, 83, 113)(74, 104, 85, 115, 77, 107, 86, 116, 88, 118)(81, 111, 89, 119, 84, 114, 90, 120, 87, 117)
	L = (1, 64)(2, 68)(3, 72)(4, 75)(5, 76)(6, 61)(7, 79)(8, 82)(9, 83)(10, 62)(11, 66)(12, 65)(13, 63)(14, 87)(15, 73)(16, 71)(17, 89)(18, 70)(19, 69)(20, 67)(21, 88)(22, 80)(23, 78)(24, 85)(25, 81)(26, 84)(27, 86)(28, 90)(29, 74)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.283
Graph:: simple bipartite
	v = 21 e = 60 f = 5
	degree seq :: [ 4^15, 10^6 ]

E18.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, Y2 * Y3^-2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^5, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 13, 43)(5, 35, 9, 39)(6, 36, 16, 46)(8, 38, 19, 49)(10, 40, 22, 52)(11, 41, 17, 47)(12, 42, 24, 54)(14, 44, 20, 50)(15, 45, 27, 57)(18, 48, 28, 58)(21, 51, 25, 55)(23, 53, 30, 60)(26, 56, 29, 59)(61, 91, 63, 93, 71, 101, 74, 104, 65, 95)(62, 92, 67, 97, 77, 107, 80, 110, 69, 99)(64, 94, 72, 102, 83, 113, 75, 105, 66, 96)(68, 98, 78, 108, 89, 119, 81, 111, 70, 100)(73, 103, 84, 114, 90, 120, 87, 117, 76, 106)(79, 109, 88, 118, 86, 116, 85, 115, 82, 112)
	L = (1, 64)(2, 68)(3, 72)(4, 63)(5, 66)(6, 61)(7, 78)(8, 67)(9, 70)(10, 62)(11, 83)(12, 71)(13, 85)(14, 75)(15, 65)(16, 86)(17, 89)(18, 77)(19, 87)(20, 81)(21, 69)(22, 90)(23, 74)(24, 82)(25, 84)(26, 73)(27, 88)(28, 76)(29, 80)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.282
Graph:: simple bipartite
	v = 21 e = 60 f = 5
	degree seq :: [ 4^15, 10^6 ]

E18.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, Y2 * Y3^2, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^5, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y3, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 13, 43)(5, 35, 9, 39)(6, 36, 16, 46)(8, 38, 19, 49)(10, 40, 22, 52)(11, 41, 17, 47)(12, 42, 24, 54)(14, 44, 26, 56)(15, 45, 21, 51)(18, 48, 25, 55)(20, 50, 28, 58)(23, 53, 30, 60)(27, 57, 29, 59)(61, 91, 63, 93, 71, 101, 75, 105, 65, 95)(62, 92, 67, 97, 77, 107, 81, 111, 69, 99)(64, 94, 66, 96, 72, 102, 83, 113, 74, 104)(68, 98, 70, 100, 78, 108, 89, 119, 80, 110)(73, 103, 76, 106, 84, 114, 90, 120, 86, 116)(79, 109, 82, 112, 85, 115, 87, 117, 88, 118)
	L = (1, 64)(2, 68)(3, 66)(4, 65)(5, 74)(6, 61)(7, 70)(8, 69)(9, 80)(10, 62)(11, 72)(12, 63)(13, 85)(14, 75)(15, 83)(16, 87)(17, 78)(18, 67)(19, 84)(20, 81)(21, 89)(22, 90)(23, 71)(24, 88)(25, 86)(26, 82)(27, 73)(28, 76)(29, 77)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E18.284
Graph:: simple bipartite
	v = 21 e = 60 f = 5
	degree seq :: [ 4^15, 10^6 ]

E18.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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^-1)^2, Y3^-2 * Y1^-2, (Y2 * Y1^-1)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y1 * Y2^4, Y3^-2 * Y1^3, Y3^-1 * Y2^-1 * R * Y2^-1 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 9, 39, 19, 49, 6, 36, 11, 41)(4, 34, 10, 40, 7, 37, 12, 42, 17, 47)(13, 43, 22, 52, 14, 44, 20, 50, 25, 55)(15, 45, 23, 53, 21, 51, 18, 48, 24, 54)(26, 56, 29, 59, 28, 58, 27, 57, 30, 60)(61, 91, 63, 93, 68, 98, 79, 109, 65, 95, 71, 101, 62, 92, 69, 99, 76, 106, 66, 96)(64, 94, 75, 105, 67, 97, 81, 111, 77, 107, 84, 114, 70, 100, 83, 113, 72, 102, 78, 108)(73, 103, 86, 116, 74, 104, 88, 118, 85, 115, 90, 120, 82, 112, 89, 119, 80, 110, 87, 117)
	L = (1, 64)(2, 70)(3, 73)(4, 76)(5, 77)(6, 80)(7, 61)(8, 67)(9, 82)(10, 65)(11, 85)(12, 62)(13, 66)(14, 63)(15, 87)(16, 72)(17, 68)(18, 89)(19, 74)(20, 69)(21, 86)(22, 71)(23, 90)(24, 88)(25, 79)(26, 75)(27, 78)(28, 81)(29, 83)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 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 E18.281
Graph:: bipartite
	v = 9 e = 60 f = 17
	degree seq :: [ 10^6, 20^3 ]

E18.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y2^-2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (Y3, Y1^-1), (R * Y3)^2, Y3^-2 * Y1^3, (Y3^2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 5, 35)(3, 33, 9, 39, 23, 53, 18, 48, 6, 36)(4, 34, 10, 40, 7, 37, 11, 41, 16, 46)(12, 42, 20, 50, 13, 43, 24, 54, 19, 49)(14, 44, 22, 52, 21, 51, 25, 55, 17, 47)(26, 56, 29, 59, 28, 58, 30, 60, 27, 57)(61, 91, 63, 93, 62, 92, 69, 99, 68, 98, 83, 113, 75, 105, 78, 108, 65, 95, 66, 96)(64, 94, 74, 104, 70, 100, 82, 112, 67, 97, 81, 111, 71, 101, 85, 115, 76, 106, 77, 107)(72, 102, 86, 116, 80, 110, 89, 119, 73, 103, 88, 118, 84, 114, 90, 120, 79, 109, 87, 117)
	L = (1, 64)(2, 70)(3, 72)(4, 75)(5, 76)(6, 79)(7, 61)(8, 67)(9, 80)(10, 65)(11, 62)(12, 78)(13, 63)(14, 89)(15, 71)(16, 68)(17, 86)(18, 84)(19, 83)(20, 66)(21, 90)(22, 88)(23, 73)(24, 69)(25, 87)(26, 81)(27, 82)(28, 77)(29, 85)(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) :: { ( 4, 30, 4, 30, 4, 30, 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 E18.279
Graph:: bipartite
	v = 9 e = 60 f = 17
	degree seq :: [ 10^6, 20^3 ]

E18.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y2^2, (Y3 * Y1)^2, Y3 * Y1^2 * Y3, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y1 * Y3^-1, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 6, 36, 10, 40, 23, 53, 13, 43)(4, 34, 9, 39, 7, 37, 11, 41, 17, 47)(12, 42, 19, 49, 14, 44, 20, 50, 24, 54)(15, 45, 18, 48, 21, 51, 22, 52, 25, 55)(26, 56, 27, 57, 28, 58, 29, 59, 30, 60)(61, 91, 63, 93, 65, 95, 73, 103, 76, 106, 83, 113, 68, 98, 70, 100, 62, 92, 66, 96)(64, 94, 75, 105, 77, 107, 85, 115, 71, 101, 82, 112, 67, 97, 81, 111, 69, 99, 78, 108)(72, 102, 86, 116, 84, 114, 90, 120, 80, 110, 89, 119, 74, 104, 88, 118, 79, 109, 87, 117)
	L = (1, 64)(2, 69)(3, 72)(4, 76)(5, 77)(6, 79)(7, 61)(8, 67)(9, 65)(10, 74)(11, 62)(12, 83)(13, 84)(14, 63)(15, 88)(16, 71)(17, 68)(18, 89)(19, 73)(20, 66)(21, 90)(22, 86)(23, 80)(24, 70)(25, 87)(26, 78)(27, 81)(28, 82)(29, 85)(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) :: { ( 4, 30, 4, 30, 4, 30, 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 E18.280
Graph:: bipartite
	v = 9 e = 60 f = 17
	degree seq :: [ 10^6, 20^3 ]

E18.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, (Y2 * R)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y1^-2 * Y3, Y1 * Y3 * Y1^-2 * Y2, Y1 * Y3^2 * Y1^2, Y3^5 * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y3^-2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 22, 52, 27, 57, 29, 59, 12, 42, 24, 54, 30, 60, 14, 44, 25, 55, 28, 58, 16, 46, 19, 49, 5, 35)(3, 33, 11, 41, 9, 39, 26, 56, 17, 47, 10, 40, 4, 34, 15, 45, 21, 51, 6, 36, 18, 48, 8, 38, 23, 53, 20, 50, 13, 43)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 72, 102)(65, 95, 77, 107)(66, 96, 74, 104)(67, 97, 75, 105)(69, 99, 84, 114)(70, 100, 85, 115)(71, 101, 88, 118)(73, 103, 87, 117)(76, 106, 83, 113)(78, 108, 89, 119)(79, 109, 81, 111)(80, 110, 90, 120)(82, 112, 86, 116)
	L = (1, 64)(2, 69)(3, 72)(4, 76)(5, 78)(6, 61)(7, 80)(8, 84)(9, 79)(10, 62)(11, 67)(12, 83)(13, 85)(14, 63)(15, 90)(16, 86)(17, 89)(18, 88)(19, 73)(20, 65)(21, 87)(22, 66)(23, 82)(24, 81)(25, 68)(26, 74)(27, 70)(28, 75)(29, 71)(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) :: { ( 10, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 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 E18.277
Graph:: bipartite
	v = 17 e = 60 f = 9
	degree seq :: [ 4^15, 30^2 ]

E18.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y2^2, R^2, Y1^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^5 * Y2, Y3 * Y1^-1 * Y3^-2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y3^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 12, 42, 22, 52, 30, 60, 15, 45, 23, 53, 27, 57, 20, 50, 25, 55, 26, 56, 13, 43, 18, 48, 5, 35)(3, 33, 11, 41, 16, 46, 4, 34, 14, 44, 29, 59, 28, 58, 17, 47, 10, 40, 24, 54, 21, 51, 8, 38, 6, 36, 19, 49, 9, 39)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 72, 102)(65, 95, 74, 104)(66, 96, 73, 103)(67, 97, 77, 107)(69, 99, 82, 112)(70, 100, 78, 108)(71, 101, 86, 116)(75, 105, 88, 118)(76, 106, 83, 113)(79, 109, 87, 117)(80, 110, 84, 114)(81, 111, 90, 120)(85, 115, 89, 119)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 77)(6, 61)(7, 81)(8, 82)(9, 83)(10, 62)(11, 65)(12, 88)(13, 63)(14, 67)(15, 84)(16, 85)(17, 90)(18, 68)(19, 86)(20, 66)(21, 87)(22, 76)(23, 89)(24, 73)(25, 70)(26, 74)(27, 71)(28, 80)(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, 20, 10, 20 ), ( 10, 20, 10, 20, 10, 20, 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 E18.278
Graph:: bipartite
	v = 17 e = 60 f = 9
	degree seq :: [ 4^15, 30^2 ]

E18.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y2^2, R^2, Y3^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^2 * Y2 * Y3 * Y1, Y3^-5 * Y2, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 13, 43, 22, 52, 29, 59, 20, 50, 25, 55, 27, 57, 15, 45, 24, 54, 26, 56, 12, 42, 17, 47, 5, 35)(3, 33, 11, 41, 19, 49, 6, 36, 16, 46, 30, 60, 28, 58, 18, 48, 9, 39, 23, 53, 21, 51, 8, 38, 4, 34, 14, 44, 10, 40)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 72, 102)(65, 95, 76, 106)(66, 96, 73, 103)(67, 97, 78, 108)(69, 99, 77, 107)(70, 100, 82, 112)(71, 101, 86, 116)(74, 104, 87, 117)(75, 105, 83, 113)(79, 109, 85, 115)(80, 110, 88, 118)(81, 111, 89, 119)(84, 114, 90, 120)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 71)(6, 61)(7, 76)(8, 77)(9, 84)(10, 62)(11, 87)(12, 83)(13, 63)(14, 89)(15, 88)(16, 86)(17, 90)(18, 65)(19, 82)(20, 66)(21, 67)(22, 68)(23, 80)(24, 79)(25, 70)(26, 74)(27, 81)(28, 73)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.276
Graph:: bipartite
	v = 17 e = 60 f = 9
	degree seq :: [ 4^15, 30^2 ]

E18.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y1^-1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y1 * Y2^3 * Y1, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1^-1 * Y2^-1 * Y1, Y1^10, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 16, 46, 26, 56, 29, 59, 30, 60, 23, 53, 12, 42, 4, 34)(3, 33, 9, 39, 15, 45, 25, 55, 27, 57, 22, 52, 24, 54, 13, 43, 19, 49, 8, 38)(5, 35, 11, 41, 17, 47, 7, 37, 18, 48, 20, 50, 28, 58, 21, 51, 10, 40, 14, 44)(61, 91, 63, 93, 70, 100, 72, 102, 79, 109, 88, 118, 90, 120, 84, 114, 78, 108, 86, 116, 87, 117, 77, 107, 66, 96, 75, 105, 65, 95)(62, 92, 67, 97, 73, 103, 64, 94, 71, 101, 82, 112, 83, 113, 74, 104, 85, 115, 89, 119, 81, 111, 69, 99, 76, 106, 80, 110, 68, 98)
	L = (1, 62)(2, 66)(3, 69)(4, 61)(5, 71)(6, 76)(7, 78)(8, 63)(9, 75)(10, 74)(11, 77)(12, 64)(13, 79)(14, 65)(15, 85)(16, 86)(17, 67)(18, 80)(19, 68)(20, 88)(21, 70)(22, 84)(23, 72)(24, 73)(25, 87)(26, 89)(27, 82)(28, 81)(29, 90)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 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 E18.274
Graph:: bipartite
	v = 5 e = 60 f = 21
	degree seq :: [ 20^3, 30^2 ]

E18.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y3 * Y2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1^-3, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^2 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 7, 37, 12, 42, 26, 56, 18, 48, 4, 34, 10, 40, 5, 35)(3, 33, 13, 43, 24, 54, 16, 46, 23, 53, 20, 50, 30, 60, 11, 41, 29, 59, 15, 45)(6, 36, 17, 47, 25, 55, 19, 49, 27, 57, 9, 39, 14, 44, 21, 51, 28, 58, 22, 52)(61, 91, 63, 93, 74, 104, 78, 108, 90, 120, 85, 115, 68, 98, 84, 114, 88, 118, 70, 100, 89, 119, 87, 117, 72, 102, 83, 113, 66, 96)(62, 92, 69, 99, 76, 106, 64, 94, 77, 107, 75, 105, 67, 97, 81, 111, 80, 110, 65, 95, 79, 109, 73, 103, 86, 116, 82, 112, 71, 101)
	L = (1, 64)(2, 70)(3, 71)(4, 72)(5, 78)(6, 81)(7, 61)(8, 65)(9, 85)(10, 86)(11, 83)(12, 62)(13, 89)(14, 79)(15, 90)(16, 63)(17, 88)(18, 67)(19, 66)(20, 84)(21, 87)(22, 74)(23, 73)(24, 75)(25, 82)(26, 68)(27, 77)(28, 69)(29, 80)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 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 E18.273
Graph:: bipartite
	v = 5 e = 60 f = 21
	degree seq :: [ 20^3, 30^2 ]

E18.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-3, Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 4, 34, 10, 40, 25, 55, 19, 49, 7, 37, 12, 42, 5, 35)(3, 33, 13, 43, 24, 54, 15, 45, 29, 59, 11, 41, 23, 53, 17, 47, 30, 60, 16, 46)(6, 36, 21, 51, 26, 56, 22, 52, 14, 44, 20, 50, 28, 58, 9, 39, 27, 57, 18, 48)(61, 91, 63, 93, 74, 104, 70, 100, 89, 119, 87, 117, 72, 102, 90, 120, 86, 116, 68, 98, 84, 114, 88, 118, 79, 109, 83, 113, 66, 96)(62, 92, 69, 99, 76, 106, 85, 115, 81, 111, 75, 105, 65, 95, 80, 110, 77, 107, 64, 94, 78, 108, 73, 103, 67, 97, 82, 112, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 79)(5, 68)(6, 82)(7, 61)(8, 85)(9, 66)(10, 67)(11, 90)(12, 62)(13, 89)(14, 69)(15, 83)(16, 84)(17, 63)(18, 86)(19, 65)(20, 87)(21, 74)(22, 88)(23, 76)(24, 71)(25, 72)(26, 80)(27, 81)(28, 78)(29, 77)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 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 E18.275
Graph:: bipartite
	v = 5 e = 60 f = 21
	degree seq :: [ 20^3, 30^2 ]

E18.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, Y3^-1 * Y2^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y3^-2 * Y1 * Y2^-2, Y2 * Y1 * Y3^-3 * Y1 * Y2 * Y1, Y2^10, (Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 9, 39)(5, 35, 11, 41)(6, 36, 13, 43)(8, 38, 12, 42)(10, 40, 14, 44)(15, 45, 24, 54)(16, 46, 25, 55)(17, 47, 23, 53)(18, 48, 22, 52)(19, 49, 20, 50)(21, 51, 28, 58)(26, 56, 29, 59)(27, 57, 30, 60)(61, 91, 63, 93, 68, 98, 77, 107, 86, 116, 88, 118, 87, 117, 79, 109, 70, 100, 64, 94)(62, 92, 65, 95, 72, 102, 82, 112, 89, 119, 85, 115, 90, 120, 84, 114, 74, 104, 66, 96)(67, 97, 75, 105, 83, 113, 73, 103, 81, 111, 71, 101, 80, 110, 78, 108, 69, 99, 76, 106)
	L = (1, 64)(2, 66)(3, 61)(4, 70)(5, 62)(6, 74)(7, 76)(8, 63)(9, 78)(10, 79)(11, 81)(12, 65)(13, 83)(14, 84)(15, 67)(16, 69)(17, 68)(18, 80)(19, 87)(20, 71)(21, 73)(22, 72)(23, 75)(24, 90)(25, 89)(26, 77)(27, 88)(28, 86)(29, 82)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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 E18.290
Graph:: bipartite
	v = 18 e = 60 f = 8
	degree seq :: [ 4^15, 20^3 ]

E18.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, Y2^-2 * Y3 * Y2^-1, Y2^-1 * Y3^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 15, 45)(5, 35, 17, 47)(6, 36, 18, 48)(7, 37, 19, 49)(8, 38, 23, 53)(9, 39, 25, 55)(10, 40, 26, 56)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(16, 46, 24, 54)(27, 57, 30, 60)(28, 58, 29, 59)(61, 91, 63, 93, 72, 102, 64, 94, 73, 103, 88, 118, 76, 106, 66, 96, 74, 104, 65, 95)(62, 92, 67, 97, 80, 110, 68, 98, 81, 111, 90, 120, 84, 114, 70, 100, 82, 112, 69, 99)(71, 101, 86, 116, 75, 105, 85, 115, 89, 119, 79, 109, 78, 108, 83, 113, 77, 107, 87, 117)
	L = (1, 64)(2, 68)(3, 73)(4, 76)(5, 72)(6, 61)(7, 81)(8, 84)(9, 80)(10, 62)(11, 85)(12, 88)(13, 66)(14, 63)(15, 79)(16, 65)(17, 86)(18, 87)(19, 77)(20, 90)(21, 70)(22, 67)(23, 71)(24, 69)(25, 78)(26, 89)(27, 75)(28, 74)(29, 83)(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, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E18.288
Graph:: bipartite
	v = 18 e = 60 f = 8
	degree seq :: [ 4^15, 20^3 ]

E18.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y1^2, R^2, Y3^3 * Y2^-1, (Y2^-1 * R)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 11, 41)(4, 34, 15, 45)(5, 35, 17, 47)(6, 36, 18, 48)(7, 37, 19, 49)(8, 38, 23, 53)(9, 39, 25, 55)(10, 40, 26, 56)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(16, 46, 24, 54)(27, 57, 30, 60)(28, 58, 29, 59)(61, 91, 63, 93, 72, 102, 66, 96, 74, 104, 88, 118, 76, 106, 64, 94, 73, 103, 65, 95)(62, 92, 67, 97, 80, 110, 70, 100, 82, 112, 90, 120, 84, 114, 68, 98, 81, 111, 69, 99)(71, 101, 83, 113, 78, 108, 85, 115, 89, 119, 79, 109, 75, 105, 86, 116, 77, 107, 87, 117)
	L = (1, 64)(2, 68)(3, 73)(4, 74)(5, 76)(6, 61)(7, 81)(8, 82)(9, 84)(10, 62)(11, 86)(12, 65)(13, 88)(14, 63)(15, 85)(16, 66)(17, 79)(18, 87)(19, 78)(20, 69)(21, 90)(22, 67)(23, 77)(24, 70)(25, 71)(26, 89)(27, 75)(28, 72)(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, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E18.289
Graph:: bipartite
	v = 18 e = 60 f = 8
	degree seq :: [ 4^15, 20^3 ]

E18.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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^-2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), (Y2^-1 * Y3^-1)^2, Y3^-2 * Y1^3, Y2^3 * Y1^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y2^2 * Y1^-2 * Y2, Y2^-2 * R * Y2^-1 * R * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 30, 60, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 19, 49)(6, 36, 11, 41, 25, 55, 13, 43, 21, 51)(14, 44, 26, 56, 16, 46, 20, 50, 28, 58)(17, 47, 27, 57, 24, 54, 22, 52, 29, 59)(61, 91, 63, 93, 73, 103, 78, 108, 90, 120, 71, 101, 62, 92, 69, 99, 81, 111, 65, 95, 75, 105, 85, 115, 68, 98, 83, 113, 66, 96)(64, 94, 77, 107, 86, 116, 72, 102, 82, 112, 88, 118, 70, 100, 87, 117, 76, 106, 79, 109, 89, 119, 74, 104, 67, 97, 84, 114, 80, 110)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 79)(6, 82)(7, 61)(8, 67)(9, 86)(10, 65)(11, 89)(12, 62)(13, 87)(14, 90)(15, 88)(16, 63)(17, 66)(18, 72)(19, 68)(20, 69)(21, 84)(22, 73)(23, 76)(24, 85)(25, 77)(26, 75)(27, 71)(28, 83)(29, 81)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 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 E18.286
Graph:: bipartite
	v = 8 e = 60 f = 18
	degree seq :: [ 10^6, 30^2 ]

E18.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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^-1)^2, Y1^-1 * Y2^-3, (Y3^-1, Y1^-1), (Y2^-1, Y1), Y3^2 * Y1^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2, Y2 * Y1^-1 * R * Y2^-1 * R, Y3^-4 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 9, 39, 25, 55, 30, 60, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 19, 49)(6, 36, 11, 41, 26, 56, 29, 59, 13, 43)(14, 44, 24, 54, 16, 46, 27, 57, 20, 50)(17, 47, 22, 52, 23, 53, 28, 58, 21, 51)(61, 91, 63, 93, 73, 103, 65, 95, 75, 105, 89, 119, 78, 108, 90, 120, 86, 116, 68, 98, 85, 115, 71, 101, 62, 92, 69, 99, 66, 96)(64, 94, 77, 107, 87, 117, 79, 109, 81, 111, 76, 106, 72, 102, 88, 118, 84, 114, 67, 97, 83, 113, 74, 104, 70, 100, 82, 112, 80, 110)
	L = (1, 64)(2, 70)(3, 74)(4, 78)(5, 79)(6, 81)(7, 61)(8, 67)(9, 84)(10, 65)(11, 77)(12, 62)(13, 88)(14, 90)(15, 80)(16, 63)(17, 73)(18, 72)(19, 68)(20, 85)(21, 89)(22, 66)(23, 71)(24, 75)(25, 76)(26, 82)(27, 69)(28, 86)(29, 83)(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) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 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 E18.287
Graph:: bipartite
	v = 8 e = 60 f = 18
	degree seq :: [ 10^6, 30^2 ]

E18.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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^-1)^2, Y2^3 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y3^-3 * Y1 * Y3^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3, Y2 * Y3 * Y2 * Y1 * Y3^-1, Y3 * Y2^-2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 25, 55, 29, 59, 14, 44)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 26, 56, 30, 60, 20, 50)(13, 43, 19, 49, 15, 45, 24, 54, 28, 58)(16, 46, 21, 51, 23, 53, 22, 52, 27, 57)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 86, 116, 68, 98, 85, 115, 90, 120, 77, 107, 89, 119, 80, 110, 65, 95, 74, 104, 66, 96)(64, 94, 76, 106, 75, 105, 70, 100, 81, 111, 84, 114, 67, 97, 83, 113, 88, 118, 72, 102, 82, 112, 73, 103, 78, 108, 87, 117, 79, 109)
	L = (1, 64)(2, 70)(3, 73)(4, 77)(5, 78)(6, 81)(7, 61)(8, 67)(9, 79)(10, 65)(11, 83)(12, 62)(13, 89)(14, 88)(15, 63)(16, 86)(17, 72)(18, 68)(19, 74)(20, 76)(21, 90)(22, 66)(23, 80)(24, 69)(25, 75)(26, 82)(27, 71)(28, 85)(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) :: { ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 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 E18.285
Graph:: bipartite
	v = 8 e = 60 f = 18
	degree seq :: [ 10^6, 30^2 ]

E18.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, (Y1^-1 * Y3^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y1^4, (R * Y3)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-2 * Y2 * Y3^-1 * Y2^2 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 14, 46)(4, 36, 16, 48, 22, 54, 12, 44)(6, 38, 9, 41, 23, 55, 18, 50)(7, 39, 19, 51, 24, 56, 10, 42)(13, 45, 28, 60, 20, 52, 25, 57)(15, 47, 30, 62, 32, 64, 27, 59)(17, 49, 31, 63, 29, 61, 26, 58)(65, 97, 67, 99, 77, 109, 87, 119, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 89, 121, 78, 110, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 71, 103, 79, 111, 93, 125, 86, 118, 88, 120, 96, 128, 81, 113)(74, 106, 76, 108, 90, 122, 94, 126, 83, 115, 80, 112, 95, 127, 91, 123)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 83)(6, 81)(7, 65)(8, 86)(9, 76)(10, 75)(11, 91)(12, 66)(13, 79)(14, 94)(15, 67)(16, 69)(17, 84)(18, 80)(19, 78)(20, 96)(21, 88)(22, 87)(23, 93)(24, 72)(25, 90)(26, 73)(27, 92)(28, 95)(29, 77)(30, 89)(31, 82)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.297
Graph:: bipartite
	v = 12 e = 64 f = 18
	degree seq :: [ 8^8, 16^4 ]

E18.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, Y2 * Y1 * Y2 * Y1^-1, Y1^4, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1 * Y3)^2, Y1^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 16, 48, 22, 54, 12, 44)(6, 38, 9, 41, 23, 55, 17, 49)(7, 39, 18, 50, 24, 56, 10, 42)(13, 45, 27, 59, 19, 51, 25, 57)(14, 46, 30, 62, 32, 64, 28, 60)(20, 52, 31, 63, 29, 61, 26, 58)(65, 97, 67, 99, 77, 109, 87, 119, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 81, 113, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 88, 120, 86, 118, 96, 128, 84, 116, 71, 103)(74, 106, 90, 122, 94, 126, 80, 112, 82, 114, 95, 127, 92, 124, 76, 108)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 82)(6, 71)(7, 65)(8, 86)(9, 90)(10, 73)(11, 76)(12, 66)(13, 93)(14, 77)(15, 80)(16, 69)(17, 95)(18, 81)(19, 84)(20, 70)(21, 96)(22, 85)(23, 88)(24, 72)(25, 94)(26, 89)(27, 92)(28, 75)(29, 87)(30, 79)(31, 91)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.295
Graph:: bipartite
	v = 12 e = 64 f = 18
	degree seq :: [ 8^8, 16^4 ]

E18.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y1^4, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 18, 50, 15, 47)(4, 36, 17, 49, 16, 48, 12, 44)(6, 38, 9, 41, 24, 56, 20, 52)(7, 39, 21, 53, 19, 51, 10, 42)(13, 45, 27, 59, 22, 54, 25, 57)(14, 46, 30, 62, 29, 61, 28, 60)(23, 55, 32, 64, 31, 63, 26, 58)(65, 97, 67, 99, 77, 109, 88, 120, 72, 104, 82, 114, 86, 118, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 84, 116, 91, 123, 75, 107)(68, 100, 78, 110, 87, 119, 71, 103, 80, 112, 93, 125, 95, 127, 83, 115)(74, 106, 90, 122, 92, 124, 76, 108, 85, 117, 96, 128, 94, 126, 81, 113)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 83)(7, 65)(8, 80)(9, 90)(10, 84)(11, 81)(12, 66)(13, 87)(14, 86)(15, 76)(16, 67)(17, 69)(18, 93)(19, 72)(20, 96)(21, 73)(22, 95)(23, 70)(24, 71)(25, 92)(26, 91)(27, 94)(28, 75)(29, 77)(30, 79)(31, 88)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.296
Graph:: bipartite
	v = 12 e = 64 f = 18
	degree seq :: [ 8^8, 16^4 ]

E18.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^2 * Y3^-1, Y1^-2 * Y3^2 * Y2, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y1^-1 * Y2 * Y1^-1 * Y3^-2, Y2^-1 * Y1^2 * Y3^-2, Y1^-1 * Y2^-4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 24, 56, 15, 47)(4, 36, 17, 49, 23, 55, 12, 44)(6, 38, 9, 41, 18, 50, 20, 52)(7, 39, 21, 53, 14, 46, 10, 42)(13, 45, 28, 60, 22, 54, 25, 57)(16, 48, 30, 62, 29, 61, 27, 59)(19, 51, 31, 63, 32, 64, 26, 58)(65, 97, 67, 99, 77, 109, 82, 114, 72, 104, 88, 120, 86, 118, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 84, 116, 92, 124, 75, 107)(68, 100, 78, 110, 93, 125, 96, 128, 87, 119, 71, 103, 80, 112, 83, 115)(74, 106, 81, 113, 95, 127, 94, 126, 85, 117, 76, 108, 90, 122, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 83)(7, 65)(8, 87)(9, 81)(10, 79)(11, 91)(12, 66)(13, 93)(14, 72)(15, 94)(16, 67)(17, 69)(18, 96)(19, 77)(20, 76)(21, 75)(22, 80)(23, 70)(24, 71)(25, 95)(26, 73)(27, 89)(28, 90)(29, 88)(30, 92)(31, 84)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.298
Graph:: bipartite
	v = 12 e = 64 f = 18
	degree seq :: [ 8^8, 16^4 ]

E18.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^2)^2, (Y2 * Y1^-1)^4, (Y3 * Y2)^4, Y1^-2 * Y2 * Y1 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 5, 37, 11, 43, 20, 52, 29, 61, 26, 58, 16, 48, 23, 55, 17, 49, 24, 56, 32, 64, 28, 60, 19, 51, 10, 42, 4, 36)(3, 35, 7, 39, 15, 47, 25, 57, 31, 63, 21, 53, 14, 46, 6, 38, 13, 45, 9, 41, 18, 50, 27, 59, 30, 62, 22, 54, 12, 44, 8, 40)(65, 97, 67, 99)(66, 98, 70, 102)(68, 100, 73, 105)(69, 101, 76, 108)(71, 103, 80, 112)(72, 104, 81, 113)(74, 106, 79, 111)(75, 107, 85, 117)(77, 109, 87, 119)(78, 110, 88, 120)(82, 114, 90, 122)(83, 115, 91, 123)(84, 116, 94, 126)(86, 118, 96, 128)(89, 121, 93, 125)(92, 124, 95, 127)
	L = (1, 66)(2, 69)(3, 71)(4, 65)(5, 75)(6, 77)(7, 79)(8, 67)(9, 82)(10, 68)(11, 84)(12, 72)(13, 73)(14, 70)(15, 89)(16, 87)(17, 88)(18, 91)(19, 74)(20, 93)(21, 78)(22, 76)(23, 81)(24, 96)(25, 95)(26, 80)(27, 94)(28, 83)(29, 90)(30, 86)(31, 85)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.292
Graph:: bipartite
	v = 18 e = 64 f = 12
	degree seq :: [ 4^16, 32^2 ]

E18.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3 * Y2 * Y1 * Y2, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^-5, (Y1^-1 * Y3^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 16, 48, 25, 57, 24, 56, 15, 47, 6, 38, 10, 42, 4, 36, 9, 41, 18, 50, 27, 59, 23, 55, 14, 46, 5, 37)(3, 35, 11, 43, 21, 53, 29, 61, 32, 64, 26, 58, 20, 52, 8, 40, 19, 51, 12, 44, 22, 54, 30, 62, 31, 63, 28, 60, 17, 49, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 77, 109)(69, 101, 76, 108)(70, 102, 75, 107)(71, 103, 81, 113)(73, 105, 84, 116)(74, 106, 83, 115)(78, 110, 85, 117)(79, 111, 86, 118)(80, 112, 90, 122)(82, 114, 92, 124)(87, 119, 94, 126)(88, 120, 93, 125)(89, 121, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 71)(5, 74)(6, 65)(7, 82)(8, 67)(9, 80)(10, 66)(11, 86)(12, 85)(13, 83)(14, 70)(15, 69)(16, 91)(17, 72)(18, 89)(19, 75)(20, 77)(21, 94)(22, 93)(23, 79)(24, 78)(25, 87)(26, 81)(27, 88)(28, 84)(29, 95)(30, 96)(31, 90)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.293
Graph:: bipartite
	v = 18 e = 64 f = 12
	degree seq :: [ 4^16, 32^2 ]

E18.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1 * Y3^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y1^-2 * R * Y2 * R * Y2, Y2 * Y3 * R * Y2 * R * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^-2, Y1^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^-2 * Y2 * Y3 * Y2 * Y1^-1, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 21, 53, 17, 49, 4, 36, 9, 41, 23, 55, 32, 64, 31, 63, 16, 48, 6, 38, 10, 42, 24, 56, 19, 51, 5, 37)(3, 35, 11, 43, 28, 60, 15, 47, 30, 62, 12, 44, 27, 59, 8, 40, 25, 57, 18, 50, 29, 61, 14, 46, 26, 58, 20, 52, 22, 54, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 79, 111)(69, 101, 82, 114)(70, 102, 84, 116)(71, 103, 86, 118)(73, 105, 93, 125)(74, 106, 94, 126)(75, 107, 87, 119)(76, 108, 85, 117)(77, 109, 95, 127)(78, 110, 88, 120)(80, 112, 91, 123)(81, 113, 90, 122)(83, 115, 92, 124)(89, 121, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 81)(6, 65)(7, 87)(8, 90)(9, 70)(10, 66)(11, 91)(12, 93)(13, 94)(14, 67)(15, 89)(16, 69)(17, 95)(18, 86)(19, 85)(20, 92)(21, 96)(22, 79)(23, 74)(24, 71)(25, 84)(26, 75)(27, 78)(28, 72)(29, 77)(30, 82)(31, 83)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.291
Graph:: bipartite
	v = 18 e = 64 f = 12
	degree seq :: [ 4^16, 32^2 ]

E18.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^3 * Y3, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1, Y3^-5 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 6, 38, 10, 42, 22, 54, 20, 52, 30, 62, 32, 64, 31, 63, 16, 48, 28, 60, 17, 49, 4, 36, 9, 41, 5, 37)(3, 35, 11, 43, 27, 59, 14, 46, 24, 56, 19, 51, 25, 57, 8, 40, 23, 55, 18, 50, 26, 58, 15, 47, 29, 61, 12, 44, 21, 53, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 79, 111)(69, 101, 82, 114)(70, 102, 83, 115)(71, 103, 85, 117)(73, 105, 91, 123)(74, 106, 93, 125)(75, 107, 94, 126)(76, 108, 92, 124)(77, 109, 95, 127)(78, 110, 86, 118)(80, 112, 89, 121)(81, 113, 88, 120)(84, 116, 90, 122)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 80)(5, 81)(6, 65)(7, 69)(8, 88)(9, 92)(10, 66)(11, 85)(12, 90)(13, 93)(14, 67)(15, 87)(16, 94)(17, 95)(18, 89)(19, 91)(20, 70)(21, 79)(22, 71)(23, 83)(24, 75)(25, 78)(26, 72)(27, 77)(28, 96)(29, 82)(30, 74)(31, 84)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.294
Graph:: bipartite
	v = 18 e = 64 f = 12
	degree seq :: [ 4^16, 32^2 ]

E18.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2^-1 * Y3^2 * Y2^-3, Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y2, (Y2^-2 * Y3^-2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 19, 51)(8, 40, 12, 44)(10, 42, 13, 45)(11, 43, 23, 55)(15, 47, 30, 62)(16, 48, 22, 54)(17, 49, 20, 52)(18, 50, 31, 63)(21, 53, 26, 58)(24, 56, 27, 59)(25, 57, 29, 61)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 89, 121, 80, 112, 92, 124, 81, 113, 69, 101)(66, 98, 71, 103, 84, 116, 96, 128, 86, 118, 93, 125, 87, 119, 73, 105)(68, 100, 79, 111, 91, 123, 77, 109, 70, 102, 82, 114, 90, 122, 76, 108)(72, 104, 85, 117, 95, 127, 83, 115, 74, 106, 88, 120, 94, 126, 78, 110)
	L = (1, 68)(2, 72)(3, 76)(4, 80)(5, 79)(6, 65)(7, 78)(8, 86)(9, 85)(10, 66)(11, 90)(12, 92)(13, 67)(14, 93)(15, 89)(16, 70)(17, 91)(18, 69)(19, 71)(20, 94)(21, 96)(22, 74)(23, 95)(24, 73)(25, 82)(26, 81)(27, 75)(28, 77)(29, 83)(30, 87)(31, 84)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.304
Graph:: simple bipartite
	v = 20 e = 64 f = 10
	degree seq :: [ 4^16, 16^4 ]

E18.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3^4, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y2 * Y3^-1 * Y2^-3 * Y3^-1, (Y3^2 * Y2)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 19, 51)(8, 40, 15, 47)(10, 42, 18, 50)(11, 43, 24, 56)(12, 44, 28, 60)(13, 45, 30, 62)(16, 48, 23, 55)(17, 49, 20, 52)(21, 53, 27, 59)(22, 54, 26, 58)(25, 57, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 75, 107, 89, 121, 80, 112, 93, 125, 81, 113, 69, 101)(66, 98, 71, 103, 84, 116, 95, 127, 87, 119, 96, 128, 88, 120, 73, 105)(68, 100, 79, 111, 91, 123, 77, 109, 70, 102, 82, 114, 90, 122, 76, 108)(72, 104, 78, 110, 92, 124, 86, 118, 74, 106, 83, 115, 94, 126, 85, 117)
	L = (1, 68)(2, 72)(3, 76)(4, 80)(5, 79)(6, 65)(7, 85)(8, 87)(9, 78)(10, 66)(11, 90)(12, 93)(13, 67)(14, 95)(15, 89)(16, 70)(17, 91)(18, 69)(19, 73)(20, 94)(21, 96)(22, 71)(23, 74)(24, 92)(25, 82)(26, 81)(27, 75)(28, 84)(29, 77)(30, 88)(31, 83)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.306
Graph:: simple bipartite
	v = 20 e = 64 f = 10
	degree seq :: [ 4^16, 16^4 ]

E18.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, Y2^-3 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 19, 51)(8, 40, 13, 45)(10, 42, 12, 44)(11, 43, 23, 55)(15, 47, 29, 61)(16, 48, 22, 54)(17, 49, 20, 52)(18, 50, 31, 63)(21, 53, 27, 59)(24, 56, 26, 58)(25, 57, 30, 62)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 89, 121, 80, 112, 92, 124, 81, 113, 69, 101)(66, 98, 71, 103, 84, 116, 96, 128, 86, 118, 94, 126, 87, 119, 73, 105)(68, 100, 79, 111, 91, 123, 77, 109, 70, 102, 82, 114, 90, 122, 76, 108)(72, 104, 85, 117, 93, 125, 78, 110, 74, 106, 88, 120, 95, 127, 83, 115)
	L = (1, 68)(2, 72)(3, 76)(4, 80)(5, 79)(6, 65)(7, 83)(8, 86)(9, 85)(10, 66)(11, 90)(12, 92)(13, 67)(14, 71)(15, 89)(16, 70)(17, 91)(18, 69)(19, 94)(20, 95)(21, 96)(22, 74)(23, 93)(24, 73)(25, 82)(26, 81)(27, 75)(28, 77)(29, 84)(30, 78)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.303
Graph:: simple bipartite
	v = 20 e = 64 f = 10
	degree seq :: [ 4^16, 16^4 ]

E18.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y1 * Y2)^2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y3 * Y2^3 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 14, 46)(5, 37, 7, 39)(6, 38, 19, 51)(8, 40, 18, 50)(10, 42, 15, 47)(11, 43, 24, 56)(12, 44, 28, 60)(13, 45, 30, 62)(16, 48, 23, 55)(17, 49, 20, 52)(21, 53, 26, 58)(22, 54, 27, 59)(25, 57, 32, 64)(29, 61, 31, 63)(65, 97, 67, 99, 75, 107, 89, 121, 80, 112, 93, 125, 81, 113, 69, 101)(66, 98, 71, 103, 84, 116, 95, 127, 87, 119, 96, 128, 88, 120, 73, 105)(68, 100, 79, 111, 91, 123, 77, 109, 70, 102, 82, 114, 90, 122, 76, 108)(72, 104, 83, 115, 94, 126, 86, 118, 74, 106, 78, 110, 92, 124, 85, 117)
	L = (1, 68)(2, 72)(3, 76)(4, 80)(5, 79)(6, 65)(7, 85)(8, 87)(9, 83)(10, 66)(11, 90)(12, 93)(13, 67)(14, 73)(15, 89)(16, 70)(17, 91)(18, 69)(19, 95)(20, 92)(21, 96)(22, 71)(23, 74)(24, 94)(25, 82)(26, 81)(27, 75)(28, 88)(29, 77)(30, 84)(31, 78)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.305
Graph:: simple bipartite
	v = 20 e = 64 f = 10
	degree seq :: [ 4^16, 16^4 ]

E18.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^4 * Y2^-4 * Y1^-1, Y2^16, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 5, 37)(3, 35, 9, 41, 13, 45, 8, 40)(4, 36, 11, 43, 14, 46, 7, 39)(10, 42, 16, 48, 21, 53, 17, 49)(12, 44, 15, 47, 22, 54, 19, 51)(18, 50, 25, 57, 29, 61, 24, 56)(20, 52, 27, 59, 30, 62, 23, 55)(26, 58, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 94, 126, 86, 118, 78, 110, 70, 102, 77, 109, 85, 117, 93, 125, 92, 124, 84, 116, 76, 108, 68, 100)(66, 98, 71, 103, 79, 111, 87, 119, 95, 127, 89, 121, 81, 113, 73, 105, 69, 101, 75, 107, 83, 115, 91, 123, 96, 128, 88, 120, 80, 112, 72, 104)
	L = (1, 68)(2, 72)(3, 65)(4, 76)(5, 73)(6, 78)(7, 66)(8, 80)(9, 81)(10, 67)(11, 69)(12, 84)(13, 70)(14, 86)(15, 71)(16, 88)(17, 89)(18, 74)(19, 75)(20, 92)(21, 77)(22, 94)(23, 79)(24, 96)(25, 95)(26, 82)(27, 83)(28, 93)(29, 85)(30, 90)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 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 E18.301
Graph:: bipartite
	v = 10 e = 64 f = 20
	degree seq :: [ 8^8, 32^2 ]

E18.304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1 * Y1^2, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y1^-2, (Y3^-1 * Y2^-1)^2, (Y3 * Y1^-1)^2, (R * Y2)^2, Y3 * Y2 * Y1^-2, (R * Y3)^2, Y3^2 * Y2^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y1^-1, Y2^-6 * Y3 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 10, 42, 7, 39, 11, 43)(4, 36, 9, 41, 6, 38, 12, 44)(13, 45, 19, 51, 14, 46, 20, 52)(15, 47, 17, 49, 16, 48, 18, 50)(21, 53, 27, 59, 22, 54, 28, 60)(23, 55, 25, 57, 24, 56, 26, 58)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 85, 117, 93, 125, 87, 119, 80, 112, 68, 100, 72, 104, 71, 103, 78, 110, 86, 118, 94, 126, 88, 120, 79, 111, 70, 102)(66, 98, 73, 105, 81, 113, 89, 121, 95, 127, 91, 123, 84, 116, 74, 106, 69, 101, 76, 108, 82, 114, 90, 122, 96, 128, 92, 124, 83, 115, 75, 107)
	L = (1, 68)(2, 74)(3, 72)(4, 79)(5, 75)(6, 80)(7, 65)(8, 70)(9, 69)(10, 83)(11, 84)(12, 66)(13, 71)(14, 67)(15, 87)(16, 88)(17, 76)(18, 73)(19, 91)(20, 92)(21, 78)(22, 77)(23, 94)(24, 93)(25, 82)(26, 81)(27, 96)(28, 95)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 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 E18.299
Graph:: bipartite
	v = 10 e = 64 f = 20
	degree seq :: [ 8^8, 32^2 ]

E18.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y2, Y3), (Y1^-1 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y2)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^3 * Y2^-1 * Y1^-1, Y2^2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 19, 51, 25, 57, 9, 41)(7, 39, 20, 52, 26, 58, 10, 42)(14, 46, 29, 61, 22, 54, 30, 62)(15, 47, 31, 63, 21, 53, 28, 60)(16, 48, 27, 59, 18, 50, 32, 64)(65, 97, 67, 99, 78, 110, 68, 100, 79, 111, 90, 122, 82, 114, 89, 121, 72, 104, 87, 119, 86, 118, 88, 120, 85, 117, 71, 103, 80, 112, 70, 102)(66, 98, 73, 105, 91, 123, 74, 106, 92, 124, 81, 113, 94, 126, 77, 109, 69, 101, 83, 115, 96, 128, 84, 116, 95, 127, 76, 108, 93, 125, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 84)(6, 78)(7, 65)(8, 88)(9, 92)(10, 94)(11, 91)(12, 66)(13, 96)(14, 90)(15, 89)(16, 67)(17, 69)(18, 87)(19, 95)(20, 93)(21, 70)(22, 71)(23, 85)(24, 80)(25, 86)(26, 72)(27, 81)(28, 77)(29, 73)(30, 83)(31, 75)(32, 76)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.302
Graph:: bipartite
	v = 10 e = 64 f = 20
	degree seq :: [ 8^8, 32^2 ]

E18.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 16})
Quotient :: dipole
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y1^4, Y3^3 * Y2^-1, Y1^4, (Y3 * Y1^-1)^2, (R * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y2^2 * Y3^-1 * Y2^-2 * Y3, Y1^-1 * Y2^-3 * Y3 * Y1^-1, Y2^-5 * Y3^-1, Y3^-1 * Y2^-2 * Y3^-1 * Y1^-2, Y2^3 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 24, 56, 12, 44)(6, 38, 19, 51, 25, 57, 9, 41)(7, 39, 20, 52, 26, 58, 10, 42)(14, 46, 31, 63, 18, 50, 29, 61)(15, 47, 32, 64, 22, 54, 28, 60)(16, 48, 30, 62, 21, 53, 27, 59)(65, 97, 67, 99, 78, 110, 88, 120, 86, 118, 71, 103, 80, 112, 89, 121, 72, 104, 87, 119, 82, 114, 68, 100, 79, 111, 90, 122, 85, 117, 70, 102)(66, 98, 73, 105, 91, 123, 84, 116, 96, 128, 76, 108, 93, 125, 77, 109, 69, 101, 83, 115, 94, 126, 74, 106, 92, 124, 81, 113, 95, 127, 75, 107)
	L = (1, 68)(2, 74)(3, 79)(4, 80)(5, 84)(6, 82)(7, 65)(8, 88)(9, 92)(10, 93)(11, 94)(12, 66)(13, 91)(14, 90)(15, 89)(16, 67)(17, 69)(18, 71)(19, 96)(20, 95)(21, 87)(22, 70)(23, 86)(24, 85)(25, 78)(26, 72)(27, 81)(28, 77)(29, 73)(30, 76)(31, 83)(32, 75)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.300
Graph:: bipartite
	v = 10 e = 64 f = 20
	degree seq :: [ 8^8, 32^2 ]

E18.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2), Y3^-3 * Y2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 13, 49)(5, 41, 9, 45)(6, 42, 16, 52)(8, 44, 19, 55)(10, 46, 22, 58)(11, 47, 23, 59)(12, 48, 24, 60)(14, 50, 26, 62)(15, 51, 28, 64)(17, 53, 31, 67)(18, 54, 25, 61)(20, 56, 30, 66)(21, 57, 32, 68)(27, 63, 29, 65)(33, 69, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 81, 117)(76, 112, 83, 119, 86, 122)(78, 114, 84, 120, 87, 123)(80, 116, 89, 125, 92, 128)(82, 118, 90, 126, 93, 129)(85, 121, 95, 131, 98, 134)(88, 124, 96, 132, 100, 136)(91, 127, 103, 139, 102, 138)(94, 130, 97, 133, 104, 140)(99, 135, 105, 141, 107, 143)(101, 137, 106, 142, 108, 144)
	L = (1, 76)(2, 80)(3, 83)(4, 84)(5, 86)(6, 73)(7, 89)(8, 90)(9, 92)(10, 74)(11, 87)(12, 75)(13, 97)(14, 78)(15, 77)(16, 101)(17, 93)(18, 79)(19, 96)(20, 82)(21, 81)(22, 99)(23, 104)(24, 106)(25, 105)(26, 94)(27, 85)(28, 108)(29, 91)(30, 88)(31, 100)(32, 107)(33, 95)(34, 103)(35, 98)(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) :: { ( 18^4 ), ( 18^6 ) }
Outer automorphisms :: reflexible
Dual of E18.312
Graph:: simple bipartite
	v = 30 e = 72 f = 8
	degree seq :: [ 4^18, 6^12 ]

E18.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1 * Y3^-2, (Y2, Y1^-1), Y2^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 12, 48)(4, 40, 9, 45, 7, 43)(6, 42, 10, 46, 16, 52)(11, 47, 21, 57, 13, 49)(14, 50, 22, 58, 19, 55)(15, 51, 23, 59, 20, 56)(17, 53, 24, 60, 18, 54)(25, 61, 31, 67, 27, 63)(26, 62, 35, 71, 28, 64)(29, 65, 34, 70, 30, 66)(32, 68, 36, 72, 33, 69)(73, 109, 75, 111, 82, 118, 74, 110, 80, 116, 88, 124, 77, 113, 84, 120, 78, 114)(76, 112, 86, 122, 95, 131, 81, 117, 94, 130, 92, 128, 79, 115, 91, 127, 87, 123)(83, 119, 97, 133, 107, 143, 93, 129, 103, 139, 100, 136, 85, 121, 99, 135, 98, 134)(89, 125, 104, 140, 106, 142, 96, 132, 108, 144, 102, 138, 90, 126, 105, 141, 101, 137)
	L = (1, 76)(2, 81)(3, 83)(4, 74)(5, 79)(6, 89)(7, 73)(8, 93)(9, 77)(10, 96)(11, 80)(12, 85)(13, 75)(14, 101)(15, 103)(16, 90)(17, 82)(18, 78)(19, 102)(20, 97)(21, 84)(22, 106)(23, 99)(24, 88)(25, 87)(26, 105)(27, 92)(28, 108)(29, 94)(30, 86)(31, 95)(32, 100)(33, 107)(34, 91)(35, 104)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E18.310
Graph:: bipartite
	v = 16 e = 72 f = 22
	degree seq :: [ 6^12, 18^4 ]

E18.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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, Y1 * Y3^-2, (Y2, Y1), Y2^3 * Y1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y3 * R * Y2 * R * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 7, 43)(6, 42, 10, 46, 11, 47)(12, 48, 21, 57, 14, 50)(15, 51, 22, 58, 19, 55)(16, 52, 23, 59, 20, 56)(17, 53, 24, 60, 18, 54)(25, 61, 34, 70, 27, 63)(26, 62, 35, 71, 28, 64)(29, 65, 33, 69, 30, 66)(31, 67, 36, 72, 32, 68)(73, 109, 75, 111, 83, 119, 77, 113, 85, 121, 82, 118, 74, 110, 80, 116, 78, 114)(76, 112, 87, 123, 92, 128, 79, 115, 91, 127, 95, 131, 81, 117, 94, 130, 88, 124)(84, 120, 97, 133, 100, 136, 86, 122, 99, 135, 107, 143, 93, 129, 106, 142, 98, 134)(89, 125, 103, 139, 105, 141, 90, 126, 104, 140, 101, 137, 96, 132, 108, 144, 102, 138)
	L = (1, 76)(2, 81)(3, 84)(4, 74)(5, 79)(6, 89)(7, 73)(8, 93)(9, 77)(10, 96)(11, 90)(12, 80)(13, 86)(14, 75)(15, 101)(16, 97)(17, 82)(18, 78)(19, 102)(20, 99)(21, 85)(22, 105)(23, 106)(24, 83)(25, 95)(26, 104)(27, 88)(28, 108)(29, 94)(30, 87)(31, 100)(32, 107)(33, 91)(34, 92)(35, 103)(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, 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 E18.311
Graph:: bipartite
	v = 16 e = 72 f = 22
	degree seq :: [ 6^12, 18^4 ]

E18.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y2^2, R^2, Y3^2 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-3 * Y3, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 14, 50, 25, 61, 33, 69, 12, 48, 19, 55, 5, 41)(3, 39, 11, 47, 22, 58, 6, 42, 21, 57, 16, 52, 4, 40, 15, 51, 13, 49)(8, 44, 23, 59, 29, 65, 10, 46, 28, 64, 27, 63, 9, 45, 26, 62, 24, 60)(17, 53, 34, 70, 30, 66, 20, 56, 36, 72, 32, 68, 18, 54, 35, 71, 31, 67)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 84, 120)(77, 113, 89, 125)(78, 114, 86, 122)(79, 115, 92, 128)(81, 117, 91, 127)(82, 118, 97, 133)(83, 119, 102, 138)(85, 121, 98, 134)(87, 123, 103, 139)(88, 124, 100, 136)(90, 126, 105, 141)(93, 129, 104, 140)(94, 130, 95, 131)(96, 132, 106, 142)(99, 135, 107, 143)(101, 137, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 86)(5, 90)(6, 73)(7, 89)(8, 91)(9, 97)(10, 74)(11, 103)(12, 78)(13, 100)(14, 75)(15, 104)(16, 95)(17, 105)(18, 79)(19, 82)(20, 77)(21, 102)(22, 98)(23, 85)(24, 107)(25, 80)(26, 88)(27, 108)(28, 94)(29, 106)(30, 87)(31, 93)(32, 83)(33, 92)(34, 99)(35, 101)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 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 E18.308
Graph:: bipartite
	v = 22 e = 72 f = 16
	degree seq :: [ 4^18, 18^4 ]

E18.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 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 :: [ Y2^2, R^2, Y2 * Y3^3, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, Y1^2 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 12, 48, 24, 60, 33, 69, 14, 50, 19, 55, 5, 41)(3, 39, 11, 47, 16, 52, 4, 40, 15, 51, 22, 58, 6, 42, 21, 57, 13, 49)(8, 44, 23, 59, 27, 63, 9, 45, 26, 62, 29, 65, 10, 46, 28, 64, 25, 61)(17, 53, 34, 70, 30, 66, 18, 54, 35, 71, 31, 67, 20, 56, 36, 72, 32, 68)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 84, 120)(77, 113, 89, 125)(78, 114, 86, 122)(79, 115, 90, 126)(81, 117, 96, 132)(82, 118, 91, 127)(83, 119, 102, 138)(85, 121, 100, 136)(87, 123, 103, 139)(88, 124, 95, 131)(92, 128, 105, 141)(93, 129, 104, 140)(94, 130, 98, 134)(97, 133, 106, 142)(99, 135, 107, 143)(101, 137, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 86)(5, 90)(6, 73)(7, 92)(8, 96)(9, 91)(10, 74)(11, 103)(12, 78)(13, 95)(14, 75)(15, 104)(16, 98)(17, 79)(18, 105)(19, 80)(20, 77)(21, 102)(22, 100)(23, 94)(24, 82)(25, 107)(26, 85)(27, 108)(28, 88)(29, 106)(30, 87)(31, 93)(32, 83)(33, 89)(34, 99)(35, 101)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.309
Graph:: bipartite
	v = 22 e = 72 f = 16
	degree seq :: [ 4^18, 18^4 ]

E18.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^3 * Y3^-1 * Y1^-1, Y1^3 * Y3 * Y1, Y1^2 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 7, 43, 4, 40, 10, 46, 19, 55, 5, 41)(3, 39, 12, 48, 35, 71, 25, 61, 16, 52, 14, 50, 32, 68, 20, 56, 15, 51)(6, 42, 22, 58, 9, 45, 29, 65, 26, 62, 23, 59, 13, 49, 31, 67, 24, 60)(11, 47, 33, 69, 28, 64, 27, 63, 34, 70, 17, 53, 30, 66, 36, 72, 18, 54)(73, 109, 75, 111, 85, 121, 82, 118, 104, 140, 101, 137, 93, 129, 97, 133, 78, 114)(74, 110, 81, 117, 102, 138, 91, 127, 96, 132, 99, 135, 79, 115, 95, 131, 83, 119)(76, 112, 89, 125, 84, 120, 80, 116, 100, 136, 92, 128, 77, 113, 90, 126, 88, 124)(86, 122, 105, 141, 103, 139, 107, 143, 108, 144, 98, 134, 87, 123, 106, 142, 94, 130)
	L = (1, 76)(2, 82)(3, 86)(4, 74)(5, 79)(6, 95)(7, 73)(8, 91)(9, 103)(10, 80)(11, 89)(12, 104)(13, 81)(14, 84)(15, 88)(16, 75)(17, 105)(18, 106)(19, 93)(20, 97)(21, 77)(22, 85)(23, 94)(24, 98)(25, 87)(26, 78)(27, 90)(28, 108)(29, 96)(30, 100)(31, 101)(32, 107)(33, 102)(34, 83)(35, 92)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E18.307
Graph:: bipartite
	v = 8 e = 72 f = 30
	degree seq :: [ 18^8 ]

E18.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 7, 43)(6, 42, 8, 44)(9, 45, 13, 49)(10, 46, 12, 48)(11, 47, 15, 51)(14, 50, 16, 52)(17, 53, 21, 57)(18, 54, 20, 56)(19, 55, 23, 59)(22, 58, 24, 60)(25, 61, 29, 65)(26, 62, 28, 64)(27, 63, 31, 67)(30, 66, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 74, 110, 77, 113)(76, 112, 82, 118, 79, 115, 84, 120)(78, 114, 81, 117, 80, 116, 85, 121)(83, 119, 90, 126, 87, 123, 92, 128)(86, 122, 89, 125, 88, 124, 93, 129)(91, 127, 98, 134, 95, 131, 100, 136)(94, 130, 97, 133, 96, 132, 101, 137)(99, 135, 106, 142, 103, 139, 107, 143)(102, 138, 105, 141, 104, 140, 108, 144)
	L = (1, 76)(2, 79)(3, 81)(4, 83)(5, 85)(6, 73)(7, 87)(8, 74)(9, 89)(10, 75)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 102)(28, 92)(29, 108)(30, 94)(31, 104)(32, 96)(33, 106)(34, 98)(35, 100)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E18.314
Graph:: bipartite
	v = 27 e = 72 f = 11
	degree seq :: [ 4^18, 8^9 ]

E18.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 18})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y2^-1 * Y3 * Y1^-2, (R * Y2)^2, Y2 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, Y2^2 * Y3^-2, Y1^4, (R * Y3)^2, Y3^-1 * Y2^-8, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 4, 40, 12, 48)(6, 42, 9, 45, 7, 43, 10, 46)(13, 49, 19, 55, 14, 50, 20, 56)(15, 51, 17, 53, 16, 52, 18, 54)(21, 57, 27, 63, 22, 58, 28, 64)(23, 59, 25, 61, 24, 60, 26, 62)(29, 65, 35, 71, 30, 66, 36, 72)(31, 67, 33, 69, 32, 68, 34, 70)(73, 109, 75, 111, 85, 121, 93, 129, 101, 137, 104, 140, 96, 132, 88, 124, 79, 115, 80, 116, 76, 112, 86, 122, 94, 130, 102, 138, 103, 139, 95, 131, 87, 123, 78, 114)(74, 110, 81, 117, 89, 125, 97, 133, 105, 141, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113, 82, 118, 90, 126, 98, 134, 106, 142, 107, 143, 99, 135, 91, 127, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 81)(6, 80)(7, 73)(8, 75)(9, 90)(10, 89)(11, 77)(12, 74)(13, 94)(14, 93)(15, 79)(16, 78)(17, 98)(18, 97)(19, 84)(20, 83)(21, 102)(22, 101)(23, 88)(24, 87)(25, 106)(26, 105)(27, 92)(28, 91)(29, 103)(30, 104)(31, 96)(32, 95)(33, 107)(34, 108)(35, 100)(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, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.313
Graph:: bipartite
	v = 11 e = 72 f = 27
	degree seq :: [ 8^9, 36^2 ]

E18.315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^18 * Y1, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 6, 42)(7, 43, 9, 45)(8, 44, 10, 46)(11, 47, 13, 49)(12, 48, 14, 50)(15, 51, 17, 53)(16, 52, 18, 54)(19, 55, 21, 57)(20, 56, 22, 58)(23, 59, 25, 61)(24, 60, 26, 62)(27, 63, 29, 65)(28, 64, 30, 66)(31, 67, 33, 69)(32, 68, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 79, 115, 83, 119, 87, 123, 91, 127, 95, 131, 99, 135, 103, 139, 107, 143, 106, 142, 102, 138, 98, 134, 94, 130, 90, 126, 86, 122, 82, 118, 78, 114, 74, 110, 77, 113, 81, 117, 85, 121, 89, 125, 93, 129, 97, 133, 101, 137, 105, 141, 108, 144, 104, 140, 100, 136, 96, 132, 92, 128, 88, 124, 84, 120, 80, 116, 76, 112)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 72, 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 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 selfdual
Graph:: bipartite
	v = 19 e = 72 f = 19
	degree seq :: [ 4^18, 72 ]

E18.316 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^18, (T2^-1 * T1^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 37, 33, 29, 25, 21, 17, 13, 9, 5)(38, 39, 40, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 63, 64, 67, 68, 71, 72, 74, 73, 70, 69, 66, 65, 62, 61, 58, 57, 54, 53, 50, 49, 46, 45, 42, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.336
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.317 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T2)^2, (F * T1)^2, T2^-18 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 37, 33, 29, 25, 21, 17, 13, 9, 5)(38, 39, 42, 43, 46, 47, 50, 51, 54, 55, 58, 59, 62, 63, 66, 67, 70, 71, 74, 72, 73, 68, 69, 64, 65, 60, 61, 56, 57, 52, 53, 48, 49, 44, 45, 40, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.333
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.318 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^12, (T2^-1 * T1^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 37, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 35, 29, 23, 17, 11, 5)(38, 39, 43, 40, 44, 49, 46, 50, 55, 52, 56, 61, 58, 62, 67, 64, 68, 73, 70, 72, 74, 71, 66, 69, 65, 60, 63, 59, 54, 57, 53, 48, 51, 47, 42, 45, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.338
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.319 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T1)^2, (F * T2)^2, T1 * T2^-12 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 35, 29, 23, 17, 11, 5)(38, 39, 43, 42, 45, 49, 48, 51, 55, 54, 57, 61, 60, 63, 67, 66, 69, 73, 72, 70, 74, 71, 64, 68, 65, 58, 62, 59, 52, 56, 53, 46, 50, 47, 40, 44, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.334
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.320 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^8, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 28, 20, 12, 4, 10, 18, 26, 34, 37, 35, 27, 19, 11, 6, 14, 22, 30, 36, 32, 24, 16, 8, 2, 7, 15, 23, 31, 29, 21, 13, 5)(38, 39, 43, 47, 40, 44, 51, 55, 46, 52, 59, 63, 54, 60, 67, 71, 62, 68, 73, 74, 70, 66, 69, 72, 65, 58, 61, 64, 57, 50, 53, 56, 49, 42, 45, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.340
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.321 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T1 * T2^4 * T1^-1 * T2^-4, T2^-1 * T1 * T2^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 32, 24, 16, 8, 2, 7, 15, 23, 31, 36, 30, 22, 14, 6, 11, 19, 27, 34, 37, 35, 28, 20, 12, 4, 10, 18, 26, 33, 29, 21, 13, 5)(38, 39, 43, 49, 42, 45, 51, 57, 50, 53, 59, 65, 58, 61, 67, 72, 66, 69, 73, 74, 70, 62, 68, 71, 63, 54, 60, 64, 55, 46, 52, 56, 47, 40, 44, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.335
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.322 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 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 * T2 * T1 * T2^6, T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 31, 21, 11, 14, 24, 34, 36, 28, 18, 8, 2, 7, 17, 27, 32, 22, 12, 4, 10, 20, 30, 37, 35, 26, 16, 6, 15, 25, 33, 23, 13, 5)(38, 39, 43, 51, 47, 40, 44, 52, 61, 57, 46, 54, 62, 71, 67, 56, 64, 70, 73, 74, 66, 69, 60, 65, 72, 68, 59, 50, 55, 63, 58, 49, 42, 45, 53, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.342
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.323 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 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^-1 * T1 * T2^-6 * 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 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 26, 16, 6, 15, 25, 35, 37, 32, 22, 12, 4, 10, 20, 30, 28, 18, 8, 2, 7, 17, 27, 36, 34, 24, 14, 11, 21, 31, 33, 23, 13, 5)(38, 39, 43, 51, 49, 42, 45, 53, 61, 59, 50, 55, 63, 71, 69, 60, 65, 66, 73, 74, 70, 67, 56, 64, 72, 68, 57, 46, 54, 62, 58, 47, 40, 44, 52, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.337
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.324 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2 * T1 * T2^5, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 30, 33, 23, 11, 21, 31, 36, 37, 32, 22, 14, 26, 34, 35, 28, 16, 6, 15, 27, 29, 18, 8, 2, 7, 17, 25, 13, 5)(38, 39, 43, 51, 58, 47, 40, 44, 52, 63, 68, 57, 46, 54, 64, 71, 73, 67, 56, 62, 66, 72, 74, 70, 61, 50, 55, 65, 69, 60, 49, 42, 45, 53, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.339
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.325 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2 * T1 * T2^4, T1^-2 * T2 * T1^-5, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 37, 35, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 33, 22, 26, 34, 36, 29, 16, 6, 15, 25, 13, 5)(38, 39, 43, 51, 63, 58, 47, 40, 44, 52, 64, 71, 69, 57, 46, 54, 62, 67, 73, 74, 68, 56, 61, 50, 55, 66, 72, 70, 60, 49, 42, 45, 53, 65, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.344
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.326 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-4 * T1, T1^-1 * T2^-1 * T1^-6, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 36, 34, 26, 22, 31, 33, 24, 12, 4, 10, 20, 18, 8, 2, 7, 17, 30, 28, 14, 27, 35, 37, 32, 23, 11, 21, 25, 13, 5)(38, 39, 43, 51, 63, 60, 49, 42, 45, 53, 65, 71, 69, 61, 50, 55, 56, 67, 73, 74, 70, 62, 57, 46, 54, 66, 72, 68, 58, 47, 40, 44, 52, 64, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.341
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.327 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2^4 * T1^-1, T1 * T2 * T1 * T2 * T1 * T2^2 * T1^2, T1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 36, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 34, 26, 37, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 35, 22, 33, 25, 13, 5)(38, 39, 43, 51, 63, 70, 58, 47, 40, 44, 52, 64, 74, 62, 69, 57, 46, 54, 66, 73, 61, 50, 55, 67, 56, 68, 72, 60, 49, 42, 45, 53, 65, 71, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.346
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.328 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2^-2 * T1 * T2^2, T2^-1 * T1^-2 * T2^-4 * T1^-1, T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T2^-4 * T1^5, T1^-2 * T2^32 * T1^-1, T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 30, 16, 6, 15, 29, 24, 12, 4, 10, 20, 34, 26, 37, 32, 18, 8, 2, 7, 17, 31, 23, 11, 21, 35, 28, 14, 27, 25, 13, 5)(38, 39, 43, 51, 63, 70, 60, 49, 42, 45, 53, 65, 71, 56, 68, 61, 50, 55, 67, 72, 57, 46, 54, 66, 62, 69, 73, 58, 47, 40, 44, 52, 64, 74, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.343
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.329 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T1^-1 * T2 * T1^-1 * T2^3 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-6 * T2^-1, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 31, 22, 25, 13, 5)(38, 39, 43, 51, 63, 71, 70, 62, 58, 47, 40, 44, 52, 64, 72, 69, 61, 50, 55, 57, 46, 54, 65, 73, 68, 60, 49, 42, 45, 53, 56, 66, 74, 67, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.347
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.330 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^2 * T1 * T2 * T1^2 * T2, T1^-7 * T2^3, T2^-2 * T1 * T2^-1 * T1^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 36, 27, 14, 25, 13, 5)(38, 39, 43, 51, 63, 71, 67, 56, 60, 49, 42, 45, 53, 64, 72, 68, 57, 46, 54, 61, 50, 55, 65, 73, 69, 58, 47, 40, 44, 52, 62, 66, 74, 70, 59, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.345
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.331 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2^-1), T1^2 * T2^-3, T1^3 * T2 * T1^2 * T2 * T1^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 35, 37, 30, 23, 25, 18, 11, 13, 5)(38, 39, 43, 51, 57, 63, 69, 74, 68, 62, 56, 50, 47, 40, 44, 52, 58, 64, 70, 73, 67, 61, 55, 49, 42, 45, 46, 53, 59, 65, 71, 72, 66, 60, 54, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.349
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.332 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {37, 37, 37})
Quotient :: edge
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^2 * T1 * T2 * T1, T1^-10 * T2 * T1^-1 * T2, T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-3, T1^-1 * T2^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 32, 34, 27, 20, 22, 15, 6, 13, 5)(38, 39, 43, 51, 57, 63, 69, 72, 66, 60, 54, 46, 49, 42, 45, 52, 58, 64, 70, 73, 67, 61, 55, 47, 40, 44, 50, 53, 59, 65, 71, 74, 68, 62, 56, 48, 41)
	L = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.348
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.333 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^37, T1^37, (T2^-1 * T1^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 2, 39, 6, 43, 14, 51, 25, 62, 28, 65, 35, 72, 29, 66, 32, 69, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 24, 61, 13, 50, 18, 55, 27, 64, 34, 71, 37, 74, 31, 68, 20, 57, 9, 46, 17, 54, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 26, 63, 33, 70, 36, 73, 30, 67, 19, 56, 22, 59, 11, 48, 4, 41)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 62)(15, 61)(16, 63)(17, 60)(18, 64)(19, 59)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 65)(26, 70)(27, 71)(28, 72)(29, 69)(30, 56)(31, 57)(32, 58)(33, 73)(34, 74)(35, 66)(36, 67)(37, 68)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.317
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.334 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^18, (T2^-1 * T1^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 7, 44, 11, 48, 15, 52, 19, 56, 23, 60, 27, 64, 31, 68, 35, 72, 36, 73, 32, 69, 28, 65, 24, 61, 20, 57, 16, 53, 12, 49, 8, 45, 4, 41, 2, 39, 6, 43, 10, 47, 14, 51, 18, 55, 22, 59, 26, 63, 30, 67, 34, 71, 37, 74, 33, 70, 29, 66, 25, 62, 21, 58, 17, 54, 13, 50, 9, 46, 5, 42)
	L = (1, 39)(2, 40)(3, 43)(4, 38)(5, 41)(6, 44)(7, 47)(8, 42)(9, 45)(10, 48)(11, 51)(12, 46)(13, 49)(14, 52)(15, 55)(16, 50)(17, 53)(18, 56)(19, 59)(20, 54)(21, 57)(22, 60)(23, 63)(24, 58)(25, 61)(26, 64)(27, 67)(28, 62)(29, 65)(30, 68)(31, 71)(32, 66)(33, 69)(34, 72)(35, 74)(36, 70)(37, 73)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.319
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^12, (T2^-1 * T1^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 15, 52, 21, 58, 27, 64, 33, 70, 34, 71, 28, 65, 22, 59, 16, 53, 10, 47, 4, 41, 6, 43, 12, 49, 18, 55, 24, 61, 30, 67, 36, 73, 37, 74, 32, 69, 26, 63, 20, 57, 14, 51, 8, 45, 2, 39, 7, 44, 13, 50, 19, 56, 25, 62, 31, 68, 35, 72, 29, 66, 23, 60, 17, 54, 11, 48, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 40)(7, 49)(8, 41)(9, 50)(10, 42)(11, 51)(12, 46)(13, 55)(14, 47)(15, 56)(16, 48)(17, 57)(18, 52)(19, 61)(20, 53)(21, 62)(22, 54)(23, 63)(24, 58)(25, 67)(26, 59)(27, 68)(28, 60)(29, 69)(30, 64)(31, 73)(32, 65)(33, 72)(34, 66)(35, 74)(36, 70)(37, 71)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.321
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.336 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T1)^2, (F * T2)^2, T1 * T2^-12 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 15, 52, 21, 58, 27, 64, 33, 70, 32, 69, 26, 63, 20, 57, 14, 51, 8, 45, 2, 39, 7, 44, 13, 50, 19, 56, 25, 62, 31, 68, 37, 74, 36, 73, 30, 67, 24, 61, 18, 55, 12, 49, 6, 43, 4, 41, 10, 47, 16, 53, 22, 59, 28, 65, 34, 71, 35, 72, 29, 66, 23, 60, 17, 54, 11, 48, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 42)(7, 41)(8, 49)(9, 50)(10, 40)(11, 51)(12, 48)(13, 47)(14, 55)(15, 56)(16, 46)(17, 57)(18, 54)(19, 53)(20, 61)(21, 62)(22, 52)(23, 63)(24, 60)(25, 59)(26, 67)(27, 68)(28, 58)(29, 69)(30, 66)(31, 65)(32, 73)(33, 74)(34, 64)(35, 70)(36, 72)(37, 71)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.316
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.337 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2 * T1 * T2^8, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 17, 54, 25, 62, 33, 70, 28, 65, 20, 57, 12, 49, 4, 41, 10, 47, 18, 55, 26, 63, 34, 71, 37, 74, 35, 72, 27, 64, 19, 56, 11, 48, 6, 43, 14, 51, 22, 59, 30, 67, 36, 73, 32, 69, 24, 61, 16, 53, 8, 45, 2, 39, 7, 44, 15, 52, 23, 60, 31, 68, 29, 66, 21, 58, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 47)(7, 51)(8, 48)(9, 52)(10, 40)(11, 41)(12, 42)(13, 53)(14, 55)(15, 59)(16, 56)(17, 60)(18, 46)(19, 49)(20, 50)(21, 61)(22, 63)(23, 67)(24, 64)(25, 68)(26, 54)(27, 57)(28, 58)(29, 69)(30, 71)(31, 73)(32, 72)(33, 66)(34, 62)(35, 65)(36, 74)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.323
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.338 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T1 * T2^4 * T1^-1 * T2^-4, T2^-1 * T1 * T2^-8 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 17, 54, 25, 62, 32, 69, 24, 61, 16, 53, 8, 45, 2, 39, 7, 44, 15, 52, 23, 60, 31, 68, 36, 73, 30, 67, 22, 59, 14, 51, 6, 43, 11, 48, 19, 56, 27, 64, 34, 71, 37, 74, 35, 72, 28, 65, 20, 57, 12, 49, 4, 41, 10, 47, 18, 55, 26, 63, 33, 70, 29, 66, 21, 58, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 49)(7, 48)(8, 51)(9, 52)(10, 40)(11, 41)(12, 42)(13, 53)(14, 57)(15, 56)(16, 59)(17, 60)(18, 46)(19, 47)(20, 50)(21, 61)(22, 65)(23, 64)(24, 67)(25, 68)(26, 54)(27, 55)(28, 58)(29, 69)(30, 72)(31, 71)(32, 73)(33, 62)(34, 63)(35, 66)(36, 74)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.318
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.339 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 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 * T2 * T1 * T2^6, T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 29, 66, 31, 68, 21, 58, 11, 48, 14, 51, 24, 61, 34, 71, 36, 73, 28, 65, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 27, 64, 32, 69, 22, 59, 12, 49, 4, 41, 10, 47, 20, 57, 30, 67, 37, 74, 35, 72, 26, 63, 16, 53, 6, 43, 15, 52, 25, 62, 33, 70, 23, 60, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 47)(15, 61)(16, 48)(17, 62)(18, 63)(19, 64)(20, 46)(21, 49)(22, 50)(23, 65)(24, 57)(25, 71)(26, 58)(27, 70)(28, 72)(29, 69)(30, 56)(31, 59)(32, 60)(33, 73)(34, 67)(35, 68)(36, 74)(37, 66)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.324
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.340 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 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^-1 * T1 * T2^-6 * 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 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 29, 66, 26, 63, 16, 53, 6, 43, 15, 52, 25, 62, 35, 72, 37, 74, 32, 69, 22, 59, 12, 49, 4, 41, 10, 47, 20, 57, 30, 67, 28, 65, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 27, 64, 36, 73, 34, 71, 24, 61, 14, 51, 11, 48, 21, 58, 31, 68, 33, 70, 23, 60, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 49)(15, 48)(16, 61)(17, 62)(18, 63)(19, 64)(20, 46)(21, 47)(22, 50)(23, 65)(24, 59)(25, 58)(26, 71)(27, 72)(28, 66)(29, 73)(30, 56)(31, 57)(32, 60)(33, 67)(34, 69)(35, 68)(36, 74)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.320
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2 * T1 * T2^5, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 30, 67, 33, 70, 23, 60, 11, 48, 21, 58, 31, 68, 36, 73, 37, 74, 32, 69, 22, 59, 14, 51, 26, 63, 34, 71, 35, 72, 28, 65, 16, 53, 6, 43, 15, 52, 27, 64, 29, 66, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 58)(15, 63)(16, 59)(17, 64)(18, 65)(19, 62)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 66)(26, 68)(27, 71)(28, 69)(29, 72)(30, 56)(31, 57)(32, 60)(33, 61)(34, 73)(35, 74)(36, 67)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.326
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.342 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2 * T1^3, T2^2 * T1^-1 * T2^4, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 29, 66, 28, 65, 16, 53, 6, 43, 15, 52, 27, 64, 35, 72, 34, 71, 26, 63, 14, 51, 22, 59, 31, 68, 36, 73, 37, 74, 32, 69, 23, 60, 11, 48, 21, 58, 30, 67, 33, 70, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 60)(15, 59)(16, 63)(17, 64)(18, 65)(19, 66)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 56)(26, 69)(27, 68)(28, 71)(29, 72)(30, 57)(31, 58)(32, 61)(33, 62)(34, 74)(35, 73)(36, 67)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.322
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.343 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2 * T1 * T2^4, T1^-2 * T2 * T1^-5, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 23, 60, 11, 48, 21, 58, 32, 69, 37, 74, 35, 72, 28, 65, 14, 51, 27, 64, 30, 67, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 31, 68, 33, 70, 22, 59, 26, 63, 34, 71, 36, 73, 29, 66, 16, 53, 6, 43, 15, 52, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 63)(15, 64)(16, 65)(17, 62)(18, 66)(19, 61)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 67)(26, 58)(27, 71)(28, 59)(29, 72)(30, 73)(31, 56)(32, 57)(33, 60)(34, 69)(35, 70)(36, 74)(37, 68)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.328
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.344 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^-1 * T2^-2 * T1 * T2^2, T2^-1 * T1^-2 * T2^-4 * T1^-1, T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2, T2^-4 * T1^5, T1^-2 * T2^32 * T1^-1, T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 33, 70, 22, 59, 36, 73, 30, 67, 16, 53, 6, 43, 15, 52, 29, 66, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 34, 71, 26, 63, 37, 74, 32, 69, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 31, 68, 23, 60, 11, 48, 21, 58, 35, 72, 28, 65, 14, 51, 27, 64, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 69)(26, 70)(27, 74)(28, 71)(29, 62)(30, 72)(31, 61)(32, 73)(33, 60)(34, 56)(35, 57)(36, 58)(37, 59)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.325
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.345 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T1^-1 * T2 * T1^-8, T2 * T1^5 * T2 * T1^5 * T2 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 12, 49, 4, 41, 10, 47, 18, 55, 21, 58, 11, 48, 19, 56, 26, 63, 29, 66, 20, 57, 27, 64, 34, 71, 35, 72, 28, 65, 30, 67, 36, 73, 37, 74, 32, 69, 22, 59, 31, 68, 33, 70, 24, 61, 14, 51, 23, 60, 25, 62, 16, 53, 6, 43, 15, 52, 17, 54, 8, 45, 2, 39, 7, 44, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 50)(10, 40)(11, 41)(12, 42)(13, 54)(14, 59)(15, 60)(16, 61)(17, 62)(18, 46)(19, 47)(20, 48)(21, 49)(22, 67)(23, 68)(24, 69)(25, 70)(26, 55)(27, 56)(28, 57)(29, 58)(30, 64)(31, 73)(32, 65)(33, 74)(34, 63)(35, 66)(36, 71)(37, 72)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.330
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.346 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^3, T1^9 * T2, T1^2 * T2^-1 * T1^4 * T2^-1 * T1^3 * T2^-1 * T1, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 8, 45, 2, 39, 7, 44, 17, 54, 16, 53, 6, 43, 15, 52, 25, 62, 24, 61, 14, 51, 23, 60, 33, 70, 32, 69, 22, 59, 31, 68, 37, 74, 36, 73, 30, 67, 27, 64, 34, 71, 35, 72, 28, 65, 19, 56, 26, 63, 29, 66, 20, 57, 11, 48, 18, 55, 21, 58, 12, 49, 4, 41, 10, 47, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 46)(14, 59)(15, 60)(16, 61)(17, 62)(18, 47)(19, 48)(20, 49)(21, 50)(22, 67)(23, 68)(24, 69)(25, 70)(26, 55)(27, 56)(28, 57)(29, 58)(30, 65)(31, 64)(32, 73)(33, 74)(34, 63)(35, 66)(36, 72)(37, 71)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.327
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.347 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T1^-1 * T2 * T1^-1 * T2^3 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-6 * T2^-1, (T1^-1 * T2^-1)^37 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 19, 56, 14, 51, 27, 64, 36, 73, 30, 67, 33, 70, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 16, 53, 6, 43, 15, 52, 28, 65, 37, 74, 34, 71, 32, 69, 23, 60, 11, 48, 21, 58, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 29, 66, 26, 63, 35, 72, 31, 68, 22, 59, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 63)(15, 64)(16, 56)(17, 65)(18, 57)(19, 66)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 58)(26, 71)(27, 72)(28, 73)(29, 74)(30, 59)(31, 60)(32, 61)(33, 62)(34, 70)(35, 69)(36, 68)(37, 67)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.329
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.348 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-12 * T2 ]
Map:: non-degenerate
	R = (1, 38, 3, 40, 9, 46, 4, 41, 10, 47, 15, 52, 11, 48, 16, 53, 21, 58, 17, 54, 22, 59, 27, 64, 23, 60, 28, 65, 33, 70, 29, 66, 34, 71, 37, 74, 35, 72, 30, 67, 36, 73, 32, 69, 24, 61, 31, 68, 26, 63, 18, 55, 25, 62, 20, 57, 12, 49, 19, 56, 14, 51, 6, 43, 13, 50, 8, 45, 2, 39, 7, 44, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 49)(7, 50)(8, 51)(9, 42)(10, 40)(11, 41)(12, 55)(13, 56)(14, 57)(15, 46)(16, 47)(17, 48)(18, 61)(19, 62)(20, 63)(21, 52)(22, 53)(23, 54)(24, 67)(25, 68)(26, 69)(27, 58)(28, 59)(29, 60)(30, 71)(31, 73)(32, 72)(33, 64)(34, 65)(35, 66)(36, 74)(37, 70)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.332
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.349 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {37, 37, 37})
Quotient :: loop
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-2 * T1 * T2^2 * T1^-1, T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-2, T1^-3 * T2^5 * T1^-1, 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, 38, 3, 40, 9, 46, 19, 56, 33, 70, 26, 63, 24, 61, 12, 49, 4, 41, 10, 47, 20, 57, 34, 71, 28, 65, 14, 51, 27, 64, 23, 60, 11, 48, 21, 58, 35, 72, 30, 67, 16, 53, 6, 43, 15, 52, 29, 66, 22, 59, 36, 73, 32, 69, 18, 55, 8, 45, 2, 39, 7, 44, 17, 54, 31, 68, 37, 74, 25, 62, 13, 50, 5, 42)
	L = (1, 39)(2, 43)(3, 44)(4, 38)(5, 45)(6, 51)(7, 52)(8, 53)(9, 54)(10, 40)(11, 41)(12, 42)(13, 55)(14, 63)(15, 64)(16, 65)(17, 66)(18, 67)(19, 68)(20, 46)(21, 47)(22, 48)(23, 49)(24, 50)(25, 69)(26, 62)(27, 61)(28, 70)(29, 60)(30, 71)(31, 59)(32, 72)(33, 74)(34, 56)(35, 57)(36, 58)(37, 73)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.331
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^18 * Y2, Y2 * Y1^-18 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 10, 47, 14, 51, 18, 55, 22, 59, 26, 63, 30, 67, 34, 71, 36, 73, 32, 69, 28, 65, 24, 61, 20, 57, 16, 53, 12, 49, 8, 45, 3, 40, 5, 42, 7, 44, 11, 48, 15, 52, 19, 56, 23, 60, 27, 64, 31, 68, 35, 72, 37, 74, 33, 70, 29, 66, 25, 62, 21, 58, 17, 54, 13, 50, 9, 46, 4, 41)(75, 112, 77, 114, 78, 115, 82, 119, 83, 120, 86, 123, 87, 124, 90, 127, 91, 128, 94, 131, 95, 132, 98, 135, 99, 136, 102, 139, 103, 140, 106, 143, 107, 144, 110, 147, 111, 148, 108, 145, 109, 146, 104, 141, 105, 142, 100, 137, 101, 138, 96, 133, 97, 134, 92, 129, 93, 130, 88, 125, 89, 126, 84, 121, 85, 122, 80, 117, 81, 118, 76, 113, 79, 116)
	L = (1, 78)(2, 75)(3, 82)(4, 83)(5, 77)(6, 76)(7, 79)(8, 86)(9, 87)(10, 80)(11, 81)(12, 90)(13, 91)(14, 84)(15, 85)(16, 94)(17, 95)(18, 88)(19, 89)(20, 98)(21, 99)(22, 92)(23, 93)(24, 102)(25, 103)(26, 96)(27, 97)(28, 106)(29, 107)(30, 100)(31, 101)(32, 110)(33, 111)(34, 104)(35, 105)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.367
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^8 * Y2^-1 * Y1^-8 * Y3 * Y1^-1, Y3^-1 * Y1^10 * Y3^-7 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 10, 47, 14, 51, 18, 55, 22, 59, 26, 63, 30, 67, 34, 71, 37, 74, 33, 70, 29, 66, 25, 62, 21, 58, 17, 54, 13, 50, 9, 46, 5, 42, 3, 40, 7, 44, 11, 48, 15, 52, 19, 56, 23, 60, 27, 64, 31, 68, 35, 72, 36, 73, 32, 69, 28, 65, 24, 61, 20, 57, 16, 53, 12, 49, 8, 45, 4, 41)(75, 112, 77, 114, 76, 113, 81, 118, 80, 117, 85, 122, 84, 121, 89, 126, 88, 125, 93, 130, 92, 129, 97, 134, 96, 133, 101, 138, 100, 137, 105, 142, 104, 141, 109, 146, 108, 145, 110, 147, 111, 148, 106, 143, 107, 144, 102, 139, 103, 140, 98, 135, 99, 136, 94, 131, 95, 132, 90, 127, 91, 128, 86, 123, 87, 124, 82, 119, 83, 120, 78, 115, 79, 116)
	L = (1, 78)(2, 75)(3, 79)(4, 82)(5, 83)(6, 76)(7, 77)(8, 86)(9, 87)(10, 80)(11, 81)(12, 90)(13, 91)(14, 84)(15, 85)(16, 94)(17, 95)(18, 88)(19, 89)(20, 98)(21, 99)(22, 92)(23, 93)(24, 102)(25, 103)(26, 96)(27, 97)(28, 106)(29, 107)(30, 100)(31, 101)(32, 110)(33, 111)(34, 104)(35, 105)(36, 109)(37, 108)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.378
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^-1 * Y2 * Y3^10 * Y1^-1, Y3 * Y2 * Y3^4 * Y2 * Y1^-3 * Y3^-5 * Y2 * Y3^5 * 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 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 12, 49, 18, 55, 24, 61, 30, 67, 34, 71, 28, 65, 22, 59, 16, 53, 10, 47, 3, 40, 7, 44, 13, 50, 19, 56, 25, 62, 31, 68, 36, 73, 37, 74, 33, 70, 27, 64, 21, 58, 15, 52, 9, 46, 5, 42, 8, 45, 14, 51, 20, 57, 26, 63, 32, 69, 35, 72, 29, 66, 23, 60, 17, 54, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 78, 115, 84, 121, 89, 126, 85, 122, 90, 127, 95, 132, 91, 128, 96, 133, 101, 138, 97, 134, 102, 139, 107, 144, 103, 140, 108, 145, 111, 148, 109, 146, 104, 141, 110, 147, 106, 143, 98, 135, 105, 142, 100, 137, 92, 129, 99, 136, 94, 131, 86, 123, 93, 130, 88, 125, 80, 117, 87, 124, 82, 119, 76, 113, 81, 118, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 83)(6, 76)(7, 77)(8, 79)(9, 89)(10, 90)(11, 91)(12, 80)(13, 81)(14, 82)(15, 95)(16, 96)(17, 97)(18, 86)(19, 87)(20, 88)(21, 101)(22, 102)(23, 103)(24, 92)(25, 93)(26, 94)(27, 107)(28, 108)(29, 109)(30, 98)(31, 99)(32, 100)(33, 111)(34, 104)(35, 106)(36, 105)(37, 110)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.383
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2^-3 * Y3^-1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y2 * Y1^3 * Y3^-6, Y2 * Y3^-12, Y1^37, (Y3 * Y2^-1)^37 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 12, 49, 18, 55, 24, 61, 30, 67, 35, 72, 29, 66, 23, 60, 17, 54, 11, 48, 5, 42, 8, 45, 14, 51, 20, 57, 26, 63, 32, 69, 36, 73, 37, 74, 33, 70, 27, 64, 21, 58, 15, 52, 9, 46, 3, 40, 7, 44, 13, 50, 19, 56, 25, 62, 31, 68, 34, 71, 28, 65, 22, 59, 16, 53, 10, 47, 4, 41)(75, 112, 77, 114, 82, 119, 76, 113, 81, 118, 88, 125, 80, 117, 87, 124, 94, 131, 86, 123, 93, 130, 100, 137, 92, 129, 99, 136, 106, 143, 98, 135, 105, 142, 110, 147, 104, 141, 108, 145, 111, 148, 109, 146, 102, 139, 107, 144, 103, 140, 96, 133, 101, 138, 97, 134, 90, 127, 95, 132, 91, 128, 84, 121, 89, 126, 85, 122, 78, 115, 83, 120, 79, 116)
	L = (1, 78)(2, 75)(3, 83)(4, 84)(5, 85)(6, 76)(7, 77)(8, 79)(9, 89)(10, 90)(11, 91)(12, 80)(13, 81)(14, 82)(15, 95)(16, 96)(17, 97)(18, 86)(19, 87)(20, 88)(21, 101)(22, 102)(23, 103)(24, 92)(25, 93)(26, 94)(27, 107)(28, 108)(29, 109)(30, 98)(31, 99)(32, 100)(33, 111)(34, 105)(35, 104)(36, 106)(37, 110)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.375
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y2 * Y1 * Y2^3, Y1^-1 * Y2 * Y1^-8, 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 * Y3^4 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 22, 59, 30, 67, 27, 64, 19, 56, 10, 47, 3, 40, 7, 44, 15, 52, 23, 60, 31, 68, 36, 73, 34, 71, 26, 63, 18, 55, 9, 46, 13, 50, 17, 54, 25, 62, 33, 70, 37, 74, 35, 72, 29, 66, 21, 58, 12, 49, 5, 42, 8, 45, 16, 53, 24, 61, 32, 69, 28, 65, 20, 57, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 86, 123, 78, 115, 84, 121, 92, 129, 95, 132, 85, 122, 93, 130, 100, 137, 103, 140, 94, 131, 101, 138, 108, 145, 109, 146, 102, 139, 104, 141, 110, 147, 111, 148, 106, 143, 96, 133, 105, 142, 107, 144, 98, 135, 88, 125, 97, 134, 99, 136, 90, 127, 80, 117, 89, 126, 91, 128, 82, 119, 76, 113, 81, 118, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 92)(10, 93)(11, 94)(12, 95)(13, 83)(14, 80)(15, 81)(16, 82)(17, 87)(18, 100)(19, 101)(20, 102)(21, 103)(22, 88)(23, 89)(24, 90)(25, 91)(26, 108)(27, 104)(28, 106)(29, 109)(30, 96)(31, 97)(32, 98)(33, 99)(34, 110)(35, 111)(36, 105)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.377
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y2^-1 * Y1 * Y2^-3, Y1 * Y2 * Y1^8, Y3^4 * Y2^-1 * Y3 * Y1^-4, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 22, 59, 30, 67, 28, 65, 20, 57, 12, 49, 5, 42, 8, 45, 16, 53, 24, 61, 32, 69, 36, 73, 35, 72, 29, 66, 21, 58, 13, 50, 9, 46, 17, 54, 25, 62, 33, 70, 37, 74, 34, 71, 26, 63, 18, 55, 10, 47, 3, 40, 7, 44, 15, 52, 23, 60, 31, 68, 27, 64, 19, 56, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 82, 119, 76, 113, 81, 118, 91, 128, 90, 127, 80, 117, 89, 126, 99, 136, 98, 135, 88, 125, 97, 134, 107, 144, 106, 143, 96, 133, 105, 142, 111, 148, 110, 147, 104, 141, 101, 138, 108, 145, 109, 146, 102, 139, 93, 130, 100, 137, 103, 140, 94, 131, 85, 122, 92, 129, 95, 132, 86, 123, 78, 115, 84, 121, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 87)(10, 92)(11, 93)(12, 94)(13, 95)(14, 80)(15, 81)(16, 82)(17, 83)(18, 100)(19, 101)(20, 102)(21, 103)(22, 88)(23, 89)(24, 90)(25, 91)(26, 108)(27, 105)(28, 104)(29, 109)(30, 96)(31, 97)(32, 98)(33, 99)(34, 111)(35, 110)(36, 106)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.380
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^2, Y3 * Y2^-5, Y2 * Y3 * Y2 * Y3^6, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1^3 * Y3^-3 * Y2^-1, Y2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^2 * Y2^2 * Y3^5, Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^3 * Y2^-1 * Y3 * Y2 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 24, 61, 30, 67, 20, 57, 9, 46, 17, 54, 27, 64, 35, 72, 37, 74, 33, 70, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 26, 63, 31, 68, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 25, 62, 34, 71, 36, 73, 29, 66, 19, 56, 13, 50, 18, 55, 28, 65, 32, 69, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 86, 123, 78, 115, 84, 121, 94, 131, 103, 140, 97, 134, 85, 122, 95, 132, 104, 141, 110, 147, 107, 144, 96, 133, 105, 142, 98, 135, 108, 145, 111, 148, 106, 143, 100, 137, 88, 125, 99, 136, 109, 146, 102, 139, 90, 127, 80, 117, 89, 126, 101, 138, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 93)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 110)(30, 98)(31, 100)(32, 102)(33, 111)(34, 99)(35, 101)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.374
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y2^3 * Y1^-1 * Y2^2, Y2 * Y1 * Y2 * Y1^6, Y2 * Y1^2 * Y2^-1 * Y1^2 * Y3^-3 * Y2^2, Y3 * Y2^-1 * Y3 * Y2^-2 * Y1^-2 * Y3 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y2^-2 * Y3^2 * Y1^-1 * Y3, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 24, 61, 33, 70, 23, 60, 13, 50, 18, 55, 28, 65, 35, 72, 37, 74, 30, 67, 20, 57, 10, 47, 3, 40, 7, 44, 15, 52, 25, 62, 32, 69, 22, 59, 12, 49, 5, 42, 8, 45, 16, 53, 26, 63, 34, 71, 36, 73, 29, 66, 19, 56, 9, 46, 17, 54, 27, 64, 31, 68, 21, 58, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 102, 139, 90, 127, 80, 117, 89, 126, 101, 138, 109, 146, 100, 137, 88, 125, 99, 136, 105, 142, 111, 148, 108, 145, 98, 135, 106, 143, 95, 132, 104, 141, 110, 147, 107, 144, 96, 133, 85, 122, 94, 131, 103, 140, 97, 134, 86, 123, 78, 115, 84, 121, 93, 130, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 110)(30, 111)(31, 101)(32, 99)(33, 98)(34, 100)(35, 102)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.372
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y1^-1, Y2), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y1^4 * Y2^-1 * Y3^-2, Y2 * Y1 * Y2^5, Y2^-1 * Y1^3 * Y3^-3, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y3 * Y2 * Y3 * 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 * Y3^2 * 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::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 26, 63, 31, 68, 20, 57, 9, 46, 17, 54, 27, 64, 34, 71, 36, 73, 30, 67, 19, 56, 25, 62, 29, 66, 35, 72, 37, 74, 33, 70, 24, 61, 13, 50, 18, 55, 28, 65, 32, 69, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 104, 141, 107, 144, 97, 134, 85, 122, 95, 132, 105, 142, 110, 147, 111, 148, 106, 143, 96, 133, 88, 125, 100, 137, 108, 145, 109, 146, 102, 139, 90, 127, 80, 117, 89, 126, 101, 138, 103, 140, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 104)(20, 105)(21, 88)(22, 90)(23, 106)(24, 107)(25, 93)(26, 89)(27, 91)(28, 92)(29, 99)(30, 110)(31, 100)(32, 102)(33, 111)(34, 101)(35, 103)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.381
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-3, Y1^4 * Y2^-2 * Y3^-1, Y2^-6 * Y1^-1 * Y2^-1, Y3 * Y2^3 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3^4, 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 * Y2^3 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 20, 57, 9, 46, 17, 54, 27, 64, 34, 71, 36, 73, 30, 67, 25, 62, 29, 66, 32, 69, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 26, 63, 31, 68, 19, 56, 28, 65, 35, 72, 37, 74, 33, 70, 24, 61, 13, 50, 18, 55, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 104, 141, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 105, 142, 110, 147, 107, 144, 97, 134, 85, 122, 95, 132, 88, 125, 100, 137, 108, 145, 111, 148, 106, 143, 96, 133, 90, 127, 80, 117, 89, 126, 101, 138, 109, 146, 103, 140, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 102, 139, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 105)(20, 88)(21, 90)(22, 92)(23, 106)(24, 107)(25, 104)(26, 89)(27, 91)(28, 93)(29, 99)(30, 110)(31, 100)(32, 103)(33, 111)(34, 101)(35, 102)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.371
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-2, Y3^-3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3 * Y2^-3 * Y3^-1 * Y2^2, Y2^5 * Y1^-1 * Y2^2, Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^3 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-1 * 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 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 24, 61, 13, 50, 18, 55, 27, 64, 34, 71, 36, 73, 30, 67, 19, 56, 28, 65, 32, 69, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 26, 63, 33, 70, 25, 62, 29, 66, 35, 72, 37, 74, 31, 68, 20, 57, 9, 46, 17, 54, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 103, 140, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 102, 139, 109, 146, 101, 138, 90, 127, 80, 117, 89, 126, 96, 133, 106, 143, 111, 148, 108, 145, 100, 137, 88, 125, 97, 134, 85, 122, 95, 132, 105, 142, 110, 147, 107, 144, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 104, 141, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 104)(20, 105)(21, 106)(22, 91)(23, 89)(24, 88)(25, 107)(26, 90)(27, 92)(28, 93)(29, 99)(30, 110)(31, 111)(32, 102)(33, 100)(34, 101)(35, 103)(36, 108)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.379
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, Y3^-1 * Y1^-1, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-3, Y2^8 * Y1, Y1^37, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 14, 51, 26, 63, 25, 62, 32, 69, 35, 72, 20, 57, 9, 46, 17, 54, 29, 66, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 28, 65, 33, 70, 37, 74, 36, 73, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 27, 64, 24, 61, 13, 50, 18, 55, 30, 67, 34, 71, 19, 56, 31, 68, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 107, 144, 100, 137, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 108, 145, 102, 139, 88, 125, 101, 138, 97, 134, 85, 122, 95, 132, 109, 146, 104, 141, 90, 127, 80, 117, 89, 126, 103, 140, 96, 133, 110, 147, 106, 143, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 105, 142, 111, 148, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 108)(20, 109)(21, 110)(22, 105)(23, 103)(24, 101)(25, 100)(26, 88)(27, 89)(28, 90)(29, 91)(30, 92)(31, 93)(32, 99)(33, 102)(34, 104)(35, 106)(36, 111)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.382
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y2 * Y1^-2 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-3, Y1^2 * Y3^-1 * Y1 * Y2^5, Y2^3 * Y1 * Y2^2 * Y1 * Y3^-2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2^2 * Y3^-2 * Y1^-2 * Y2, Y1^37, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 38, 2, 39, 6, 43, 14, 51, 26, 63, 19, 56, 31, 68, 35, 72, 24, 61, 13, 50, 18, 55, 30, 67, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 27, 64, 37, 74, 33, 70, 34, 71, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 28, 65, 20, 57, 9, 46, 17, 54, 29, 66, 36, 73, 25, 62, 32, 69, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 107, 144, 106, 143, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 105, 142, 108, 145, 96, 133, 104, 141, 90, 127, 80, 117, 89, 126, 103, 140, 109, 146, 97, 134, 85, 122, 95, 132, 102, 139, 88, 125, 101, 138, 110, 147, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 100, 137, 111, 148, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 100)(20, 102)(21, 104)(22, 106)(23, 108)(24, 109)(25, 110)(26, 88)(27, 89)(28, 90)(29, 91)(30, 92)(31, 93)(32, 99)(33, 111)(34, 107)(35, 105)(36, 103)(37, 101)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.370
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2 * Y3^2 * Y2^-1 * Y1^2, Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y1^-2 * Y2 * Y1^-1 * Y2^6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 38, 2, 39, 6, 43, 14, 51, 25, 62, 28, 65, 35, 72, 29, 66, 32, 69, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 24, 61, 13, 50, 18, 55, 27, 64, 34, 71, 37, 74, 31, 68, 20, 57, 9, 46, 17, 54, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 26, 63, 33, 70, 36, 73, 30, 67, 19, 56, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 103, 140, 108, 145, 100, 137, 88, 125, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 104, 141, 109, 146, 101, 138, 90, 127, 80, 117, 89, 126, 97, 134, 85, 122, 95, 132, 105, 142, 110, 147, 102, 139, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 96, 133, 106, 143, 111, 148, 107, 144, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 104)(20, 105)(21, 106)(22, 93)(23, 91)(24, 89)(25, 88)(26, 90)(27, 92)(28, 99)(29, 109)(30, 110)(31, 111)(32, 103)(33, 100)(34, 101)(35, 102)(36, 107)(37, 108)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.369
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, (Y1^-1, Y2), Y3^-1 * Y2^-1 * Y1^-1 * Y2, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y1^-2 * Y2^3 * Y3, Y3^2 * Y2^-1 * Y3 * Y2^-6, Y3^10 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 38, 2, 39, 6, 43, 14, 51, 19, 56, 28, 65, 35, 72, 33, 70, 30, 67, 23, 60, 12, 49, 5, 42, 8, 45, 16, 53, 20, 57, 9, 46, 17, 54, 27, 64, 34, 71, 37, 74, 31, 68, 24, 61, 13, 50, 18, 55, 21, 58, 10, 47, 3, 40, 7, 44, 15, 52, 26, 63, 29, 66, 36, 73, 32, 69, 25, 62, 22, 59, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 93, 130, 103, 140, 111, 148, 104, 141, 96, 133, 92, 129, 82, 119, 76, 113, 81, 118, 91, 128, 102, 139, 110, 147, 105, 142, 97, 134, 85, 122, 95, 132, 90, 127, 80, 117, 89, 126, 101, 138, 109, 146, 106, 143, 98, 135, 86, 123, 78, 115, 84, 121, 94, 131, 88, 125, 100, 137, 108, 145, 107, 144, 99, 136, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 94)(10, 95)(11, 96)(12, 97)(13, 98)(14, 80)(15, 81)(16, 82)(17, 83)(18, 87)(19, 88)(20, 90)(21, 92)(22, 99)(23, 104)(24, 105)(25, 106)(26, 89)(27, 91)(28, 93)(29, 100)(30, 107)(31, 111)(32, 110)(33, 109)(34, 101)(35, 102)(36, 103)(37, 108)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.376
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-2 * Y1^-2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^2 * Y1^3, Y2^-2 * Y1^-3, Y1^2 * Y2^-11, Y1^2 * Y2^-11, Y2^-11 * Y1^2 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 13, 50, 15, 52, 20, 57, 25, 62, 27, 64, 32, 69, 37, 74, 35, 72, 28, 65, 30, 67, 23, 60, 16, 53, 18, 55, 10, 47, 3, 40, 7, 44, 12, 49, 5, 42, 8, 45, 14, 51, 19, 56, 21, 58, 26, 63, 31, 68, 33, 70, 34, 71, 36, 73, 29, 66, 22, 59, 24, 61, 17, 54, 9, 46, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 90, 127, 96, 133, 102, 139, 108, 145, 106, 143, 100, 137, 94, 131, 88, 125, 80, 117, 86, 123, 78, 115, 84, 121, 91, 128, 97, 134, 103, 140, 109, 146, 107, 144, 101, 138, 95, 132, 89, 126, 82, 119, 76, 113, 81, 118, 85, 122, 92, 129, 98, 135, 104, 141, 110, 147, 111, 148, 105, 142, 99, 136, 93, 130, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 91)(10, 92)(11, 83)(12, 81)(13, 80)(14, 82)(15, 87)(16, 97)(17, 98)(18, 90)(19, 88)(20, 89)(21, 93)(22, 103)(23, 104)(24, 96)(25, 94)(26, 95)(27, 99)(28, 109)(29, 110)(30, 102)(31, 100)(32, 101)(33, 105)(34, 107)(35, 111)(36, 108)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.368
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^11 * Y1^2, Y1^37, 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, Y2^-196 * Y3 * Y1^-1 ]
Map::
	R = (1, 38, 2, 39, 6, 43, 9, 46, 15, 52, 20, 57, 22, 59, 27, 64, 32, 69, 34, 71, 36, 73, 31, 68, 29, 66, 24, 61, 19, 56, 17, 54, 12, 49, 5, 42, 8, 45, 10, 47, 3, 40, 7, 44, 14, 51, 16, 53, 21, 58, 26, 63, 28, 65, 33, 70, 37, 74, 35, 72, 30, 67, 25, 62, 23, 60, 18, 55, 13, 50, 11, 48, 4, 41)(75, 112, 77, 114, 83, 120, 90, 127, 96, 133, 102, 139, 108, 145, 109, 146, 103, 140, 97, 134, 91, 128, 85, 122, 82, 119, 76, 113, 81, 118, 89, 126, 95, 132, 101, 138, 107, 144, 110, 147, 104, 141, 98, 135, 92, 129, 86, 123, 78, 115, 84, 121, 80, 117, 88, 125, 94, 131, 100, 137, 106, 143, 111, 148, 105, 142, 99, 136, 93, 130, 87, 124, 79, 116)
	L = (1, 78)(2, 75)(3, 84)(4, 85)(5, 86)(6, 76)(7, 77)(8, 79)(9, 80)(10, 82)(11, 87)(12, 91)(13, 92)(14, 81)(15, 83)(16, 88)(17, 93)(18, 97)(19, 98)(20, 89)(21, 90)(22, 94)(23, 99)(24, 103)(25, 104)(26, 95)(27, 96)(28, 100)(29, 105)(30, 109)(31, 110)(32, 101)(33, 102)(34, 106)(35, 111)(36, 108)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.373
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2^37, (Y3 * Y2^-1)^37, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 78, 115, 80, 117, 82, 119, 84, 121, 86, 123, 88, 125, 97, 134, 106, 143, 111, 148, 110, 147, 109, 146, 108, 145, 107, 144, 105, 142, 104, 141, 103, 140, 102, 139, 101, 138, 100, 137, 99, 136, 98, 135, 96, 133, 95, 132, 94, 131, 93, 130, 92, 129, 91, 128, 90, 127, 89, 126, 87, 124, 85, 122, 83, 120, 81, 118, 79, 116, 77, 114)
	L = (1, 77)(2, 75)(3, 79)(4, 76)(5, 81)(6, 78)(7, 83)(8, 80)(9, 85)(10, 82)(11, 87)(12, 84)(13, 89)(14, 86)(15, 90)(16, 91)(17, 92)(18, 93)(19, 94)(20, 95)(21, 96)(22, 98)(23, 88)(24, 99)(25, 100)(26, 101)(27, 102)(28, 103)(29, 104)(30, 105)(31, 107)(32, 97)(33, 108)(34, 109)(35, 110)(36, 111)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.350
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-18, (Y3^-1 * Y1^-1)^37, (Y3 * Y2^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 79, 116, 80, 117, 83, 120, 84, 121, 87, 124, 88, 125, 91, 128, 92, 129, 95, 132, 96, 133, 99, 136, 100, 137, 103, 140, 104, 141, 107, 144, 108, 145, 111, 148, 109, 146, 110, 147, 105, 142, 106, 143, 101, 138, 102, 139, 97, 134, 98, 135, 93, 130, 94, 131, 89, 126, 90, 127, 85, 122, 86, 123, 81, 118, 82, 119, 77, 114, 78, 115)
	L = (1, 77)(2, 78)(3, 81)(4, 82)(5, 75)(6, 76)(7, 85)(8, 86)(9, 79)(10, 80)(11, 89)(12, 90)(13, 83)(14, 84)(15, 93)(16, 94)(17, 87)(18, 88)(19, 97)(20, 98)(21, 91)(22, 92)(23, 101)(24, 102)(25, 95)(26, 96)(27, 105)(28, 106)(29, 99)(30, 100)(31, 109)(32, 110)(33, 103)(34, 104)(35, 108)(36, 111)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.365
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-1 * Y3^-1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3, Y2^-1), Y3^-1 * Y2 * Y3^-11, (Y2^-1 * Y3)^37, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 79, 116, 82, 119, 86, 123, 85, 122, 88, 125, 92, 129, 91, 128, 94, 131, 98, 135, 97, 134, 100, 137, 104, 141, 103, 140, 106, 143, 110, 147, 109, 146, 107, 144, 111, 148, 108, 145, 101, 138, 105, 142, 102, 139, 95, 132, 99, 136, 96, 133, 89, 126, 93, 130, 90, 127, 83, 120, 87, 124, 84, 121, 77, 114, 81, 118, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 78)(7, 87)(8, 76)(9, 89)(10, 90)(11, 79)(12, 80)(13, 93)(14, 82)(15, 95)(16, 96)(17, 85)(18, 86)(19, 99)(20, 88)(21, 101)(22, 102)(23, 91)(24, 92)(25, 105)(26, 94)(27, 107)(28, 108)(29, 97)(30, 98)(31, 111)(32, 100)(33, 106)(34, 109)(35, 103)(36, 104)(37, 110)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.363
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^4, Y3^-9 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 86, 123, 79, 116, 82, 119, 88, 125, 94, 131, 87, 124, 90, 127, 96, 133, 102, 139, 95, 132, 98, 135, 104, 141, 109, 146, 103, 140, 106, 143, 110, 147, 111, 148, 107, 144, 99, 136, 105, 142, 108, 145, 100, 137, 91, 128, 97, 134, 101, 138, 92, 129, 83, 120, 89, 126, 93, 130, 84, 121, 77, 114, 81, 118, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 85)(7, 89)(8, 76)(9, 91)(10, 92)(11, 93)(12, 78)(13, 79)(14, 80)(15, 97)(16, 82)(17, 99)(18, 100)(19, 101)(20, 86)(21, 87)(22, 88)(23, 105)(24, 90)(25, 106)(26, 107)(27, 108)(28, 94)(29, 95)(30, 96)(31, 110)(32, 98)(33, 103)(34, 111)(35, 102)(36, 104)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.362
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^-5, Y3^-3 * Y2 * Y3^-4 * Y2, Y2^-2 * Y3^-2 * Y2 * Y3^-1 * Y2^2 * Y3^3 * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^4, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 86, 123, 79, 116, 82, 119, 90, 127, 98, 135, 96, 133, 87, 124, 92, 129, 100, 137, 108, 145, 106, 143, 97, 134, 102, 139, 103, 140, 110, 147, 111, 148, 107, 144, 104, 141, 93, 130, 101, 138, 109, 146, 105, 142, 94, 131, 83, 120, 91, 128, 99, 136, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 85)(15, 99)(16, 80)(17, 101)(18, 82)(19, 103)(20, 104)(21, 105)(22, 86)(23, 87)(24, 88)(25, 109)(26, 90)(27, 110)(28, 92)(29, 100)(30, 102)(31, 107)(32, 96)(33, 97)(34, 98)(35, 111)(36, 108)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.359
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^2 * Y2^-1 * Y3^4, Y2^3 * Y3 * Y2^3, Y2^-1 * Y3^-3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 100, 137, 106, 143, 98, 135, 87, 124, 92, 129, 102, 139, 108, 145, 111, 148, 107, 144, 99, 136, 93, 130, 103, 140, 109, 146, 110, 147, 104, 141, 94, 131, 83, 120, 91, 128, 101, 138, 105, 142, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 96)(15, 101)(16, 80)(17, 103)(18, 82)(19, 92)(20, 99)(21, 104)(22, 105)(23, 85)(24, 86)(25, 87)(26, 88)(27, 109)(28, 90)(29, 102)(30, 107)(31, 110)(32, 97)(33, 98)(34, 100)(35, 108)(36, 111)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.357
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3 * Y2^-1 * Y3^4 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-6, 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^-4 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 100, 137, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 102, 139, 108, 145, 106, 143, 98, 135, 87, 124, 92, 129, 93, 130, 104, 141, 110, 147, 111, 148, 107, 144, 99, 136, 94, 131, 83, 120, 91, 128, 103, 140, 109, 146, 105, 142, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 101, 138, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 101)(15, 103)(16, 80)(17, 104)(18, 82)(19, 90)(20, 92)(21, 99)(22, 105)(23, 85)(24, 86)(25, 87)(26, 96)(27, 109)(28, 88)(29, 110)(30, 102)(31, 107)(32, 97)(33, 98)(34, 100)(35, 111)(36, 108)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.366
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-2 * Y3^-1 * Y2^-1 * Y3^-4, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-2 * Y2, Y2 * Y3^-4 * Y2^4, Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 100, 137, 107, 144, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 102, 139, 108, 145, 93, 130, 105, 142, 98, 135, 87, 124, 92, 129, 104, 141, 109, 146, 94, 131, 83, 120, 91, 128, 103, 140, 99, 136, 106, 143, 110, 147, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 101, 138, 111, 148, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 101)(15, 103)(16, 80)(17, 105)(18, 82)(19, 107)(20, 108)(21, 109)(22, 110)(23, 85)(24, 86)(25, 87)(26, 111)(27, 99)(28, 88)(29, 98)(30, 90)(31, 97)(32, 92)(33, 96)(34, 100)(35, 102)(36, 104)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.356
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y3^-4 * Y2, Y2^-4 * Y3^-1 * Y2^-5, Y2^4 * Y3^-1 * Y2^5 * Y3^-1 * Y2^5 * Y3^-1 * Y2^5 * Y3, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 96, 133, 104, 141, 102, 139, 94, 131, 86, 123, 79, 116, 82, 119, 90, 127, 98, 135, 106, 143, 110, 147, 109, 146, 103, 140, 95, 132, 87, 124, 83, 120, 91, 128, 99, 136, 107, 144, 111, 148, 108, 145, 100, 137, 92, 129, 84, 121, 77, 114, 81, 118, 89, 126, 97, 134, 105, 142, 101, 138, 93, 130, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 82)(10, 87)(11, 92)(12, 78)(13, 79)(14, 97)(15, 99)(16, 80)(17, 90)(18, 95)(19, 100)(20, 85)(21, 86)(22, 105)(23, 107)(24, 88)(25, 98)(26, 103)(27, 108)(28, 93)(29, 94)(30, 101)(31, 111)(32, 96)(33, 106)(34, 109)(35, 102)(36, 104)(37, 110)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.353
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^4 * Y2^3, Y3 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-4, Y2^37, Y2^37, Y2^-1 * Y3^2 * Y2^39 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 100, 137, 108, 145, 104, 141, 93, 130, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 101, 138, 109, 146, 105, 142, 94, 131, 83, 120, 91, 128, 98, 135, 87, 124, 92, 129, 102, 139, 110, 147, 106, 143, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 99, 136, 103, 140, 111, 148, 107, 144, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 99)(15, 98)(16, 80)(17, 97)(18, 82)(19, 96)(20, 104)(21, 105)(22, 106)(23, 85)(24, 86)(25, 87)(26, 103)(27, 88)(28, 90)(29, 92)(30, 107)(31, 108)(32, 109)(33, 110)(34, 111)(35, 100)(36, 101)(37, 102)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.364
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y3^-1), Y2^-3 * Y3 * Y2^-1 * Y3^2, Y3^2 * Y2^2 * Y3^-2 * Y2^-2, Y3^7 * Y2^3, Y3^-3 * Y2^-1 * Y3^-4 * Y2^-2, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 93, 130, 102, 139, 109, 146, 107, 144, 104, 141, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 94, 131, 83, 120, 91, 128, 101, 138, 108, 145, 111, 148, 105, 142, 98, 135, 87, 124, 92, 129, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 100, 137, 103, 140, 110, 147, 106, 143, 99, 136, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 100)(15, 101)(16, 80)(17, 102)(18, 82)(19, 103)(20, 88)(21, 90)(22, 92)(23, 85)(24, 86)(25, 87)(26, 108)(27, 109)(28, 110)(29, 111)(30, 96)(31, 97)(32, 98)(33, 99)(34, 107)(35, 106)(36, 105)(37, 104)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.354
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^5 * Y3 * Y2^7, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 86, 123, 92, 129, 98, 135, 104, 141, 109, 146, 103, 140, 97, 134, 91, 128, 85, 122, 79, 116, 82, 119, 88, 125, 94, 131, 100, 137, 106, 143, 110, 147, 111, 148, 107, 144, 101, 138, 95, 132, 89, 126, 83, 120, 77, 114, 81, 118, 87, 124, 93, 130, 99, 136, 105, 142, 108, 145, 102, 139, 96, 133, 90, 127, 84, 121, 78, 115)
	L = (1, 77)(2, 81)(3, 82)(4, 83)(5, 75)(6, 87)(7, 88)(8, 76)(9, 79)(10, 89)(11, 78)(12, 93)(13, 94)(14, 80)(15, 85)(16, 95)(17, 84)(18, 99)(19, 100)(20, 86)(21, 91)(22, 101)(23, 90)(24, 105)(25, 106)(26, 92)(27, 97)(28, 107)(29, 96)(30, 108)(31, 110)(32, 98)(33, 103)(34, 111)(35, 102)(36, 104)(37, 109)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.351
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y2)^2, Y2^2 * Y3^3, Y2^4 * Y3^-1 * Y2^6 * Y3^-1 * Y2, Y2^37, Y2^37, 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^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 94, 131, 100, 137, 106, 143, 109, 146, 103, 140, 97, 134, 91, 128, 83, 120, 86, 123, 79, 116, 82, 119, 89, 126, 95, 132, 101, 138, 107, 144, 110, 147, 104, 141, 98, 135, 92, 129, 84, 121, 77, 114, 81, 118, 87, 124, 90, 127, 96, 133, 102, 139, 108, 145, 111, 148, 105, 142, 99, 136, 93, 130, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 87)(7, 86)(8, 76)(9, 85)(10, 91)(11, 92)(12, 78)(13, 79)(14, 90)(15, 80)(16, 82)(17, 93)(18, 97)(19, 98)(20, 96)(21, 88)(22, 89)(23, 99)(24, 103)(25, 104)(26, 102)(27, 94)(28, 95)(29, 105)(30, 109)(31, 110)(32, 108)(33, 100)(34, 101)(35, 111)(36, 106)(37, 107)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.360
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y3^2 * Y2, Y2^-3 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-3 * 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^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 100, 137, 99, 136, 106, 143, 109, 146, 94, 131, 83, 120, 91, 128, 103, 140, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 102, 139, 107, 144, 111, 148, 110, 147, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 101, 138, 98, 135, 87, 124, 92, 129, 104, 141, 108, 145, 93, 130, 105, 142, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 101)(15, 103)(16, 80)(17, 105)(18, 82)(19, 107)(20, 108)(21, 109)(22, 110)(23, 85)(24, 86)(25, 87)(26, 98)(27, 97)(28, 88)(29, 96)(30, 90)(31, 111)(32, 92)(33, 100)(34, 102)(35, 104)(36, 106)(37, 99)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.355
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^-2 * Y2 * Y3^2, Y2^-1 * Y3^-5, Y2^5 * Y3^-1 * Y2 * Y3^-1 * 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^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 98, 135, 104, 141, 94, 131, 83, 120, 91, 128, 101, 138, 109, 146, 111, 148, 107, 144, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 100, 137, 105, 142, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 99, 136, 108, 145, 110, 147, 103, 140, 93, 130, 87, 124, 92, 129, 102, 139, 106, 143, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 99)(15, 101)(16, 80)(17, 87)(18, 82)(19, 86)(20, 103)(21, 104)(22, 105)(23, 85)(24, 108)(25, 109)(26, 88)(27, 92)(28, 90)(29, 97)(30, 110)(31, 98)(32, 100)(33, 96)(34, 111)(35, 102)(36, 107)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.358
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y2^5, Y3^-1 * Y2^-1 * Y3^-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^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 88, 125, 94, 131, 83, 120, 91, 128, 101, 138, 108, 145, 110, 147, 104, 141, 99, 136, 103, 140, 106, 143, 97, 134, 86, 123, 79, 116, 82, 119, 90, 127, 95, 132, 84, 121, 77, 114, 81, 118, 89, 126, 100, 137, 105, 142, 93, 130, 102, 139, 109, 146, 111, 148, 107, 144, 98, 135, 87, 124, 92, 129, 96, 133, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 89)(7, 91)(8, 76)(9, 93)(10, 94)(11, 95)(12, 78)(13, 79)(14, 100)(15, 101)(16, 80)(17, 102)(18, 82)(19, 104)(20, 105)(21, 88)(22, 90)(23, 85)(24, 86)(25, 87)(26, 108)(27, 109)(28, 99)(29, 92)(30, 98)(31, 110)(32, 96)(33, 97)(34, 111)(35, 103)(36, 107)(37, 106)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.361
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {37, 37, 37})
Quotient :: dipole
Aut^+ = C37 (small group id <37, 1>)
Aut   = D74 (small group id <74, 1>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3 * Y2^-1 * Y3 * Y2^-2, Y2 * Y3 * Y2 * Y3^10, Y3 * Y2^17, (Y3^-1 * Y1^-1)^37 ]
Map::
	R = (1, 38)(2, 39)(3, 40)(4, 41)(5, 42)(6, 43)(7, 44)(8, 45)(9, 46)(10, 47)(11, 48)(12, 49)(13, 50)(14, 51)(15, 52)(16, 53)(17, 54)(18, 55)(19, 56)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 62)(26, 63)(27, 64)(28, 65)(29, 66)(30, 67)(31, 68)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(75, 112, 76, 113, 80, 117, 83, 120, 89, 126, 94, 131, 96, 133, 101, 138, 106, 143, 108, 145, 110, 147, 105, 142, 103, 140, 98, 135, 93, 130, 91, 128, 86, 123, 79, 116, 82, 119, 84, 121, 77, 114, 81, 118, 88, 125, 90, 127, 95, 132, 100, 137, 102, 139, 107, 144, 111, 148, 109, 146, 104, 141, 99, 136, 97, 134, 92, 129, 87, 124, 85, 122, 78, 115)
	L = (1, 77)(2, 81)(3, 83)(4, 84)(5, 75)(6, 88)(7, 89)(8, 76)(9, 90)(10, 80)(11, 82)(12, 78)(13, 79)(14, 94)(15, 95)(16, 96)(17, 85)(18, 86)(19, 87)(20, 100)(21, 101)(22, 102)(23, 91)(24, 92)(25, 93)(26, 106)(27, 107)(28, 108)(29, 97)(30, 98)(31, 99)(32, 111)(33, 110)(34, 109)(35, 103)(36, 104)(37, 105)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.352
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.384 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2)^2, Y1^19 ]
Map::
	R = (1, 40, 2, 43, 5, 47, 9, 51, 13, 55, 17, 59, 21, 63, 25, 67, 29, 71, 33, 74, 36, 70, 32, 66, 28, 62, 24, 58, 20, 54, 16, 50, 12, 46, 8, 42, 4, 39)(3, 45, 7, 49, 11, 53, 15, 57, 19, 61, 23, 65, 27, 69, 31, 73, 35, 76, 38, 75, 37, 72, 34, 68, 30, 64, 26, 60, 22, 56, 18, 52, 14, 48, 10, 44, 6, 41)
	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, 37)(36, 38)(39, 41)(40, 44)(42, 45)(43, 48)(46, 49)(47, 52)(50, 53)(51, 56)(54, 57)(55, 60)(58, 61)(59, 64)(62, 65)(63, 68)(66, 69)(67, 72)(70, 73)(71, 75)(74, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.385 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, Y1^-2 * Y3 * Y1 * Y2 * Y1^-1, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^19 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 50, 12, 56, 18, 62, 24, 69, 31, 68, 30, 72, 34, 74, 36, 67, 29, 71, 33, 65, 27, 58, 20, 48, 10, 55, 17, 51, 13, 43, 5, 39)(3, 47, 9, 57, 19, 63, 25, 59, 21, 66, 28, 73, 35, 76, 38, 75, 37, 70, 32, 64, 26, 60, 22, 61, 23, 54, 16, 46, 8, 42, 4, 49, 11, 53, 15, 45, 7, 41)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 24)(17, 25)(20, 28)(22, 30)(23, 31)(26, 34)(27, 35)(29, 37)(32, 36)(33, 38)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 58)(50, 60)(51, 53)(52, 61)(56, 64)(57, 65)(59, 67)(62, 70)(63, 71)(66, 74)(68, 76)(69, 75)(72, 73)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.392
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.386 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y1^2 * Y2 * Y1^-1 * 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^-5 * Y3 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 48, 10, 55, 17, 62, 24, 69, 31, 65, 27, 71, 33, 75, 37, 68, 30, 72, 34, 66, 28, 59, 21, 50, 12, 56, 18, 51, 13, 43, 5, 39)(3, 47, 9, 54, 16, 46, 8, 42, 4, 49, 11, 58, 20, 64, 26, 60, 22, 67, 29, 74, 36, 73, 35, 76, 38, 70, 32, 63, 25, 57, 19, 61, 23, 53, 15, 45, 7, 41)
	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, 38)(33, 36)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 52)(50, 60)(51, 58)(53, 62)(56, 64)(57, 65)(59, 67)(61, 69)(63, 71)(66, 74)(68, 76)(70, 75)(72, 73)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.389
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.387 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^-3 * Y3 * Y1^-1 * Y2 * Y1^2 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y1^-6, Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2 * Y1^2 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 64, 26, 72, 34, 69, 31, 61, 23, 50, 12, 56, 18, 58, 20, 48, 10, 55, 17, 66, 28, 74, 36, 71, 33, 63, 25, 51, 13, 43, 5, 39)(3, 47, 9, 57, 19, 62, 24, 70, 32, 76, 38, 75, 37, 67, 29, 59, 21, 54, 16, 46, 8, 42, 4, 49, 11, 60, 22, 68, 30, 73, 35, 65, 27, 53, 15, 45, 7, 41)
	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, 34)(32, 33)(36, 38)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 58)(50, 62)(51, 60)(52, 59)(53, 66)(56, 57)(61, 70)(63, 68)(64, 67)(65, 74)(69, 76)(71, 73)(72, 75)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.391
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.388 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^-3 * Y3 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^2, Y1^-2 * Y2 * Y3 * Y1^-6 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 64, 26, 72, 34, 69, 31, 58, 20, 48, 10, 55, 17, 61, 23, 50, 12, 56, 18, 66, 28, 74, 36, 71, 33, 63, 25, 51, 13, 43, 5, 39)(3, 47, 9, 57, 19, 68, 30, 73, 35, 65, 27, 54, 16, 46, 8, 42, 4, 49, 11, 60, 22, 59, 21, 70, 32, 76, 38, 75, 37, 67, 29, 62, 24, 53, 15, 45, 7, 41)
	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, 38)(33, 35)(34, 37)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 58)(50, 62)(51, 60)(52, 65)(53, 61)(56, 67)(57, 69)(59, 63)(64, 73)(66, 75)(68, 72)(70, 71)(74, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.390
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.389 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y1^3 * Y3 * Y1^-4 * Y2, Y1 * Y2 * Y1^-3 * Y3 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 64, 26, 72, 34, 58, 20, 48, 10, 55, 17, 67, 29, 74, 36, 61, 23, 50, 12, 56, 18, 68, 30, 76, 38, 63, 25, 51, 13, 43, 5, 39)(3, 47, 9, 57, 19, 71, 33, 66, 28, 54, 16, 46, 8, 42, 4, 49, 11, 60, 22, 73, 35, 69, 31, 59, 21, 70, 32, 62, 24, 75, 37, 65, 27, 53, 15, 45, 7, 41)
	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, 37)(28, 38)(29, 35)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 58)(50, 62)(51, 60)(52, 66)(53, 67)(56, 70)(57, 72)(59, 68)(61, 75)(63, 73)(64, 71)(65, 74)(69, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.386
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.390 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2, Y1^2 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y1^5 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 52, 14, 64, 26, 74, 36, 61, 23, 50, 12, 56, 18, 68, 30, 72, 34, 58, 20, 48, 10, 55, 17, 67, 29, 76, 38, 63, 25, 51, 13, 43, 5, 39)(3, 47, 9, 57, 19, 71, 33, 70, 32, 62, 24, 69, 31, 59, 21, 73, 35, 66, 28, 54, 16, 46, 8, 42, 4, 49, 11, 60, 22, 75, 37, 65, 27, 53, 15, 45, 7, 41)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 36)(24, 29)(25, 33)(26, 37)(28, 34)(32, 38)(39, 42)(40, 46)(41, 48)(43, 49)(44, 54)(45, 55)(47, 58)(50, 62)(51, 60)(52, 66)(53, 67)(56, 70)(57, 72)(59, 74)(61, 69)(63, 75)(64, 73)(65, 76)(68, 71)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.388
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.391 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 48, 10, 53, 15, 58, 20, 60, 22, 65, 27, 70, 32, 72, 34, 75, 37, 73, 35, 68, 30, 63, 25, 61, 23, 56, 18, 50, 12, 51, 13, 43, 5, 39)(3, 47, 9, 46, 8, 42, 4, 49, 11, 55, 17, 57, 19, 62, 24, 67, 29, 69, 31, 74, 36, 76, 38, 71, 33, 66, 28, 64, 26, 59, 21, 54, 16, 52, 14, 45, 7, 41)
	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, 36)(39, 42)(40, 46)(41, 48)(43, 49)(44, 47)(45, 53)(50, 57)(51, 55)(52, 58)(54, 60)(56, 62)(59, 65)(61, 67)(63, 69)(64, 70)(66, 72)(68, 74)(71, 75)(73, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.387
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.392 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: halfedge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y2 * Y1^-2 * Y3, Y3 * Y1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 40, 2, 44, 6, 50, 12, 53, 15, 58, 20, 63, 25, 65, 27, 70, 32, 75, 37, 74, 36, 72, 34, 67, 29, 62, 24, 60, 22, 55, 17, 48, 10, 51, 13, 43, 5, 39)(3, 47, 9, 54, 16, 56, 18, 61, 23, 66, 28, 68, 30, 73, 35, 76, 38, 71, 33, 69, 31, 64, 26, 59, 21, 57, 19, 52, 14, 46, 8, 42, 4, 49, 11, 45, 7, 41)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 11)(8, 15)(10, 18)(13, 16)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 30)(26, 32)(29, 35)(31, 37)(33, 36)(34, 38)(39, 42)(40, 46)(41, 48)(43, 49)(44, 52)(45, 51)(47, 55)(50, 57)(53, 59)(54, 60)(56, 62)(58, 64)(61, 67)(63, 69)(65, 71)(66, 72)(68, 74)(70, 76)(73, 75)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.385
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.393 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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, Y3^19 ]
Map::
	R = (1, 39, 3, 41, 7, 45, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46, 4, 42)(2, 40, 5, 43, 9, 47, 13, 51, 17, 55, 21, 59, 25, 63, 29, 67, 33, 71, 37, 75, 38, 76, 34, 72, 30, 68, 26, 64, 22, 60, 18, 56, 14, 52, 10, 48, 6, 44)(77, 78)(79, 82)(80, 81)(83, 86)(84, 85)(87, 90)(88, 89)(91, 94)(92, 93)(95, 98)(96, 97)(99, 102)(100, 101)(103, 106)(104, 105)(107, 110)(108, 109)(111, 114)(112, 113)(115, 116)(117, 120)(118, 119)(121, 124)(122, 123)(125, 128)(126, 127)(129, 132)(130, 131)(133, 136)(134, 135)(137, 140)(138, 139)(141, 144)(142, 143)(145, 148)(146, 147)(149, 152)(150, 151)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.403
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.394 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 21, 59, 9, 47, 20, 58, 30, 68, 37, 75, 27, 65, 36, 74, 33, 71, 23, 61, 32, 70, 26, 64, 16, 54, 6, 44, 15, 53, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 25, 63, 14, 52, 24, 62, 34, 72, 35, 73, 31, 69, 38, 76, 29, 67, 19, 57, 28, 66, 22, 60, 11, 49, 3, 41, 10, 48, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 101)(92, 100)(95, 103)(98, 106)(99, 107)(102, 110)(104, 113)(105, 112)(108, 111)(109, 114)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 136)(127, 132)(128, 137)(131, 140)(134, 143)(135, 142)(138, 147)(139, 146)(141, 149)(144, 152)(145, 151)(148, 150)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.409
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.395 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^3, Y1 * Y3^-3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 16, 54, 6, 44, 15, 53, 26, 64, 33, 71, 23, 61, 32, 70, 37, 75, 27, 65, 36, 74, 30, 68, 21, 59, 9, 47, 20, 58, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 11, 49, 3, 41, 10, 48, 22, 60, 29, 67, 19, 57, 28, 66, 38, 76, 31, 69, 35, 73, 34, 72, 25, 63, 14, 52, 24, 62, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 101)(92, 100)(95, 103)(98, 106)(99, 107)(102, 110)(104, 113)(105, 112)(108, 114)(109, 111)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 131)(127, 136)(128, 137)(132, 140)(134, 143)(135, 142)(138, 147)(139, 146)(141, 149)(144, 152)(145, 150)(148, 151)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.410
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.396 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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, Y3^2 * Y1 * Y2 * Y3^6, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 24, 62, 32, 70, 38, 76, 30, 68, 21, 59, 9, 47, 20, 58, 16, 54, 6, 44, 15, 53, 27, 65, 35, 73, 33, 71, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 19, 57, 29, 67, 37, 75, 34, 72, 26, 64, 14, 52, 23, 61, 11, 49, 3, 41, 10, 48, 22, 60, 31, 69, 36, 74, 28, 66, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 102)(92, 99)(95, 101)(98, 106)(100, 104)(103, 110)(105, 109)(107, 114)(108, 112)(111, 113)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 137)(127, 136)(128, 138)(131, 134)(132, 141)(135, 143)(139, 145)(140, 146)(142, 149)(144, 151)(147, 150)(148, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.408
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.397 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-6, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 24, 62, 32, 70, 35, 73, 27, 65, 16, 54, 6, 44, 15, 53, 21, 59, 9, 47, 20, 58, 30, 68, 38, 76, 33, 71, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 28, 66, 36, 74, 31, 69, 23, 61, 11, 49, 3, 41, 10, 48, 22, 60, 14, 52, 26, 64, 34, 72, 37, 75, 29, 67, 19, 57, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 98)(92, 102)(95, 100)(99, 106)(101, 104)(103, 110)(105, 108)(107, 114)(109, 112)(111, 113)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 137)(127, 136)(128, 139)(131, 141)(132, 135)(134, 143)(138, 145)(140, 147)(142, 149)(144, 151)(146, 150)(148, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.411
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.398 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^2 * Y2, Y2 * Y3^-4 * Y1 * Y3^3, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-4, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 24, 62, 37, 75, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 34, 72, 21, 59, 9, 47, 20, 58, 26, 64, 38, 76, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 31, 69, 36, 74, 23, 61, 11, 49, 3, 41, 10, 48, 22, 60, 35, 73, 28, 66, 14, 52, 27, 65, 19, 57, 33, 71, 32, 70, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 104)(92, 103)(95, 106)(98, 110)(99, 102)(100, 108)(101, 107)(105, 111)(109, 113)(112, 114)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 137)(127, 136)(128, 140)(131, 144)(132, 143)(134, 141)(135, 147)(138, 150)(139, 149)(142, 152)(145, 151)(146, 148)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.406
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.399 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^3 * Y2 * Y1 * Y2 * Y1 * Y3^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-4, Y3^3 * Y1 * Y2 * Y3^4 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 24, 62, 37, 75, 26, 64, 21, 59, 9, 47, 20, 58, 34, 72, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 38, 76, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 31, 69, 33, 71, 19, 57, 28, 66, 14, 52, 27, 65, 36, 74, 23, 61, 11, 49, 3, 41, 10, 48, 22, 60, 35, 73, 32, 70, 18, 56, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 97)(87, 96)(88, 94)(89, 93)(91, 104)(92, 103)(95, 105)(98, 102)(99, 110)(100, 108)(101, 107)(106, 112)(109, 114)(111, 113)(115, 117)(116, 120)(118, 125)(119, 124)(121, 130)(122, 129)(123, 133)(126, 137)(127, 136)(128, 140)(131, 144)(132, 143)(134, 147)(135, 142)(138, 150)(139, 149)(141, 151)(145, 148)(146, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.404
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.400 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y3^3 * Y2, Y1 * Y3^-1 * 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 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 6, 44, 15, 53, 22, 60, 20, 58, 27, 65, 34, 72, 32, 70, 35, 73, 37, 75, 30, 68, 23, 61, 25, 63, 18, 56, 9, 47, 13, 51, 5, 43)(2, 40, 7, 45, 11, 49, 3, 41, 10, 48, 19, 57, 17, 55, 24, 62, 31, 69, 29, 67, 36, 74, 38, 76, 33, 71, 26, 64, 28, 66, 21, 59, 14, 52, 16, 54, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 94)(87, 89)(88, 92)(91, 97)(93, 99)(95, 101)(96, 102)(98, 104)(100, 106)(103, 109)(105, 111)(107, 113)(108, 112)(110, 114)(115, 117)(116, 120)(118, 125)(119, 124)(121, 126)(122, 129)(123, 131)(127, 133)(128, 134)(130, 136)(132, 138)(135, 141)(137, 143)(139, 145)(140, 146)(142, 148)(144, 150)(147, 149)(151, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.405
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.401 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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^-3 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 39, 4, 42, 12, 50, 9, 47, 18, 56, 25, 63, 23, 61, 30, 68, 37, 75, 35, 73, 32, 70, 34, 72, 27, 65, 20, 58, 22, 60, 15, 53, 6, 44, 13, 51, 5, 43)(2, 40, 7, 45, 16, 54, 14, 52, 21, 59, 28, 66, 26, 64, 33, 71, 38, 76, 36, 74, 29, 67, 31, 69, 24, 62, 17, 55, 19, 57, 11, 49, 3, 41, 10, 48, 8, 46)(77, 78)(79, 85)(80, 84)(81, 83)(82, 90)(86, 88)(87, 94)(89, 92)(91, 97)(93, 99)(95, 101)(96, 102)(98, 104)(100, 106)(103, 109)(105, 111)(107, 113)(108, 112)(110, 114)(115, 117)(116, 120)(118, 125)(119, 124)(121, 129)(122, 127)(123, 131)(126, 133)(128, 134)(130, 136)(132, 138)(135, 141)(137, 143)(139, 145)(140, 146)(142, 148)(144, 150)(147, 149)(151, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.407
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.402 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 19, 19})
Quotient :: edge^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^19, Y2^19 ]
Map:: non-degenerate
	R = (1, 39, 4, 42)(2, 40, 6, 44)(3, 41, 8, 46)(5, 43, 10, 48)(7, 45, 12, 50)(9, 47, 14, 52)(11, 49, 16, 54)(13, 51, 18, 56)(15, 53, 20, 58)(17, 55, 22, 60)(19, 57, 24, 62)(21, 59, 26, 64)(23, 61, 28, 66)(25, 63, 30, 68)(27, 65, 32, 70)(29, 67, 34, 72)(31, 69, 36, 74)(33, 71, 37, 75)(35, 73, 38, 76)(77, 78, 81, 85, 89, 93, 97, 101, 105, 109, 111, 107, 103, 99, 95, 91, 87, 83, 79)(80, 84, 88, 92, 96, 100, 104, 108, 112, 114, 113, 110, 106, 102, 98, 94, 90, 86, 82)(115, 117, 121, 125, 129, 133, 137, 141, 145, 149, 147, 143, 139, 135, 131, 127, 123, 119, 116)(118, 120, 124, 128, 132, 136, 140, 144, 148, 151, 152, 150, 146, 142, 138, 134, 130, 126, 122)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 8^4 ), ( 8^19 ) }
Outer automorphisms :: reflexible
Dual of E18.412
Graph:: simple bipartite
	v = 23 e = 76 f = 19
	degree seq :: [ 4^19, 19^4 ]

E18.403 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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, Y3^19 ]
Map::
	R = (1, 39, 77, 115, 3, 41, 79, 117, 7, 45, 83, 121, 11, 49, 87, 125, 15, 53, 91, 129, 19, 57, 95, 133, 23, 61, 99, 137, 27, 65, 103, 141, 31, 69, 107, 145, 35, 73, 111, 149, 36, 74, 112, 150, 32, 70, 108, 146, 28, 66, 104, 142, 24, 62, 100, 138, 20, 58, 96, 134, 16, 54, 92, 130, 12, 50, 88, 126, 8, 46, 84, 122, 4, 42, 80, 118)(2, 40, 78, 116, 5, 43, 81, 119, 9, 47, 85, 123, 13, 51, 89, 127, 17, 55, 93, 131, 21, 59, 97, 135, 25, 63, 101, 139, 29, 67, 105, 143, 33, 71, 109, 147, 37, 75, 113, 151, 38, 76, 114, 152, 34, 72, 110, 148, 30, 68, 106, 144, 26, 64, 102, 140, 22, 60, 98, 136, 18, 56, 94, 132, 14, 52, 90, 128, 10, 48, 86, 124, 6, 44, 82, 120)
	L = (1, 40)(2, 39)(3, 44)(4, 43)(5, 42)(6, 41)(7, 48)(8, 47)(9, 46)(10, 45)(11, 52)(12, 51)(13, 50)(14, 49)(15, 56)(16, 55)(17, 54)(18, 53)(19, 60)(20, 59)(21, 58)(22, 57)(23, 64)(24, 63)(25, 62)(26, 61)(27, 68)(28, 67)(29, 66)(30, 65)(31, 72)(32, 71)(33, 70)(34, 69)(35, 76)(36, 75)(37, 74)(38, 73)(77, 116)(78, 115)(79, 120)(80, 119)(81, 118)(82, 117)(83, 124)(84, 123)(85, 122)(86, 121)(87, 128)(88, 127)(89, 126)(90, 125)(91, 132)(92, 131)(93, 130)(94, 129)(95, 136)(96, 135)(97, 134)(98, 133)(99, 140)(100, 139)(101, 138)(102, 137)(103, 144)(104, 143)(105, 142)(106, 141)(107, 148)(108, 147)(109, 146)(110, 145)(111, 152)(112, 151)(113, 150)(114, 149)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.393
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.404 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, Y3^2 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 30, 68, 106, 144, 37, 75, 113, 151, 27, 65, 103, 141, 36, 74, 112, 150, 33, 71, 109, 147, 23, 61, 99, 137, 32, 70, 108, 146, 26, 64, 102, 140, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 25, 63, 101, 139, 14, 52, 90, 128, 24, 62, 100, 138, 34, 72, 110, 148, 35, 73, 111, 149, 31, 69, 107, 145, 38, 76, 114, 152, 29, 67, 105, 143, 19, 57, 95, 133, 28, 66, 104, 142, 22, 60, 98, 136, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 63)(16, 62)(17, 51)(18, 50)(19, 65)(20, 49)(21, 48)(22, 68)(23, 69)(24, 54)(25, 53)(26, 72)(27, 57)(28, 75)(29, 74)(30, 60)(31, 61)(32, 73)(33, 76)(34, 64)(35, 70)(36, 67)(37, 66)(38, 71)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 136)(89, 132)(90, 137)(91, 122)(92, 121)(93, 140)(94, 127)(95, 123)(96, 143)(97, 142)(98, 126)(99, 128)(100, 147)(101, 146)(102, 131)(103, 149)(104, 135)(105, 134)(106, 152)(107, 151)(108, 139)(109, 138)(110, 150)(111, 141)(112, 148)(113, 145)(114, 144)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.399
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.405 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y3^3, Y1 * Y3^-3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 26, 64, 102, 140, 33, 71, 109, 147, 23, 61, 99, 137, 32, 70, 108, 146, 37, 75, 113, 151, 27, 65, 103, 141, 36, 74, 112, 150, 30, 68, 106, 144, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 22, 60, 98, 136, 29, 67, 105, 143, 19, 57, 95, 133, 28, 66, 104, 142, 38, 76, 114, 152, 31, 69, 107, 145, 35, 73, 111, 149, 34, 72, 110, 148, 25, 63, 101, 139, 14, 52, 90, 128, 24, 62, 100, 138, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 63)(16, 62)(17, 51)(18, 50)(19, 65)(20, 49)(21, 48)(22, 68)(23, 69)(24, 54)(25, 53)(26, 72)(27, 57)(28, 75)(29, 74)(30, 60)(31, 61)(32, 76)(33, 73)(34, 64)(35, 71)(36, 67)(37, 66)(38, 70)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 131)(89, 136)(90, 137)(91, 122)(92, 121)(93, 126)(94, 140)(95, 123)(96, 143)(97, 142)(98, 127)(99, 128)(100, 147)(101, 146)(102, 132)(103, 149)(104, 135)(105, 134)(106, 152)(107, 150)(108, 139)(109, 138)(110, 151)(111, 141)(112, 145)(113, 148)(114, 144)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.400
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.406 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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, Y3^2 * Y1 * Y2 * Y3^6, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 24, 62, 100, 138, 32, 70, 108, 146, 38, 76, 114, 152, 30, 68, 106, 144, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 27, 65, 103, 141, 35, 73, 111, 149, 33, 71, 109, 147, 25, 63, 101, 139, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 19, 57, 95, 133, 29, 67, 105, 143, 37, 75, 113, 151, 34, 72, 110, 148, 26, 64, 102, 140, 14, 52, 90, 128, 23, 61, 99, 137, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 22, 60, 98, 136, 31, 69, 107, 145, 36, 74, 112, 150, 28, 66, 104, 142, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 64)(16, 61)(17, 51)(18, 50)(19, 63)(20, 49)(21, 48)(22, 68)(23, 54)(24, 66)(25, 57)(26, 53)(27, 72)(28, 62)(29, 71)(30, 60)(31, 76)(32, 74)(33, 67)(34, 65)(35, 75)(36, 70)(37, 73)(38, 69)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 137)(89, 136)(90, 138)(91, 122)(92, 121)(93, 134)(94, 141)(95, 123)(96, 131)(97, 143)(98, 127)(99, 126)(100, 128)(101, 145)(102, 146)(103, 132)(104, 149)(105, 135)(106, 151)(107, 139)(108, 140)(109, 150)(110, 152)(111, 142)(112, 147)(113, 144)(114, 148)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.398
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.407 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-6, (Y3 * Y1 * Y2)^19 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 24, 62, 100, 138, 32, 70, 108, 146, 35, 73, 111, 149, 27, 65, 103, 141, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 30, 68, 106, 144, 38, 76, 114, 152, 33, 71, 109, 147, 25, 63, 101, 139, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 28, 66, 104, 142, 36, 74, 112, 150, 31, 69, 107, 145, 23, 61, 99, 137, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 22, 60, 98, 136, 14, 52, 90, 128, 26, 64, 102, 140, 34, 72, 110, 148, 37, 75, 113, 151, 29, 67, 105, 143, 19, 57, 95, 133, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 60)(16, 64)(17, 51)(18, 50)(19, 62)(20, 49)(21, 48)(22, 53)(23, 68)(24, 57)(25, 66)(26, 54)(27, 72)(28, 63)(29, 70)(30, 61)(31, 76)(32, 67)(33, 74)(34, 65)(35, 75)(36, 71)(37, 73)(38, 69)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 137)(89, 136)(90, 139)(91, 122)(92, 121)(93, 141)(94, 135)(95, 123)(96, 143)(97, 132)(98, 127)(99, 126)(100, 145)(101, 128)(102, 147)(103, 131)(104, 149)(105, 134)(106, 151)(107, 138)(108, 150)(109, 140)(110, 152)(111, 142)(112, 146)(113, 144)(114, 148)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.401
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.408 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (Y3^-1 * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^2 * Y2, Y2 * Y3^-4 * Y1 * Y3^3, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-4, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 24, 62, 100, 138, 37, 75, 113, 151, 30, 68, 106, 144, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 29, 67, 105, 143, 34, 72, 110, 148, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 26, 64, 102, 140, 38, 76, 114, 152, 25, 63, 101, 139, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 31, 69, 107, 145, 36, 74, 112, 150, 23, 61, 99, 137, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 22, 60, 98, 136, 35, 73, 111, 149, 28, 66, 104, 142, 14, 52, 90, 128, 27, 65, 103, 141, 19, 57, 95, 133, 33, 71, 109, 147, 32, 70, 108, 146, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 66)(16, 65)(17, 51)(18, 50)(19, 68)(20, 49)(21, 48)(22, 72)(23, 64)(24, 70)(25, 69)(26, 61)(27, 54)(28, 53)(29, 73)(30, 57)(31, 63)(32, 62)(33, 75)(34, 60)(35, 67)(36, 76)(37, 71)(38, 74)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 137)(89, 136)(90, 140)(91, 122)(92, 121)(93, 144)(94, 143)(95, 123)(96, 141)(97, 147)(98, 127)(99, 126)(100, 150)(101, 149)(102, 128)(103, 134)(104, 152)(105, 132)(106, 131)(107, 151)(108, 148)(109, 135)(110, 146)(111, 139)(112, 138)(113, 145)(114, 142)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.396
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.409 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^3 * Y2 * Y1 * Y2 * Y1 * Y3^2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-4, Y3^3 * Y1 * Y2 * Y3^4 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 24, 62, 100, 138, 37, 75, 113, 151, 26, 64, 102, 140, 21, 59, 97, 135, 9, 47, 85, 123, 20, 58, 96, 134, 34, 72, 110, 148, 30, 68, 106, 144, 16, 54, 92, 130, 6, 44, 82, 120, 15, 53, 91, 129, 29, 67, 105, 143, 38, 76, 114, 152, 25, 63, 101, 139, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 17, 55, 93, 131, 31, 69, 107, 145, 33, 71, 109, 147, 19, 57, 95, 133, 28, 66, 104, 142, 14, 52, 90, 128, 27, 65, 103, 141, 36, 74, 112, 150, 23, 61, 99, 137, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 22, 60, 98, 136, 35, 73, 111, 149, 32, 70, 108, 146, 18, 56, 94, 132, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 59)(11, 58)(12, 56)(13, 55)(14, 44)(15, 66)(16, 65)(17, 51)(18, 50)(19, 67)(20, 49)(21, 48)(22, 64)(23, 72)(24, 70)(25, 69)(26, 60)(27, 54)(28, 53)(29, 57)(30, 74)(31, 63)(32, 62)(33, 76)(34, 61)(35, 75)(36, 68)(37, 73)(38, 71)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 130)(84, 129)(85, 133)(86, 119)(87, 118)(88, 137)(89, 136)(90, 140)(91, 122)(92, 121)(93, 144)(94, 143)(95, 123)(96, 147)(97, 142)(98, 127)(99, 126)(100, 150)(101, 149)(102, 128)(103, 151)(104, 135)(105, 132)(106, 131)(107, 148)(108, 152)(109, 134)(110, 145)(111, 139)(112, 138)(113, 141)(114, 146)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.394
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.410 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y3^3 * Y2, Y1 * Y3^-1 * 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 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 6, 44, 82, 120, 15, 53, 91, 129, 22, 60, 98, 136, 20, 58, 96, 134, 27, 65, 103, 141, 34, 72, 110, 148, 32, 70, 108, 146, 35, 73, 111, 149, 37, 75, 113, 151, 30, 68, 106, 144, 23, 61, 99, 137, 25, 63, 101, 139, 18, 56, 94, 132, 9, 47, 85, 123, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 19, 57, 95, 133, 17, 55, 93, 131, 24, 62, 100, 138, 31, 69, 107, 145, 29, 67, 105, 143, 36, 74, 112, 150, 38, 76, 114, 152, 33, 71, 109, 147, 26, 64, 102, 140, 28, 66, 104, 142, 21, 59, 97, 135, 14, 52, 90, 128, 16, 54, 92, 130, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 56)(11, 51)(12, 54)(13, 49)(14, 44)(15, 59)(16, 50)(17, 61)(18, 48)(19, 63)(20, 64)(21, 53)(22, 66)(23, 55)(24, 68)(25, 57)(26, 58)(27, 71)(28, 60)(29, 73)(30, 62)(31, 75)(32, 74)(33, 65)(34, 76)(35, 67)(36, 70)(37, 69)(38, 72)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 126)(84, 129)(85, 131)(86, 119)(87, 118)(88, 121)(89, 133)(90, 134)(91, 122)(92, 136)(93, 123)(94, 138)(95, 127)(96, 128)(97, 141)(98, 130)(99, 143)(100, 132)(101, 145)(102, 146)(103, 135)(104, 148)(105, 137)(106, 150)(107, 139)(108, 140)(109, 149)(110, 142)(111, 147)(112, 144)(113, 152)(114, 151)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.395
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.411 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|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^-3 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 39, 77, 115, 4, 42, 80, 118, 12, 50, 88, 126, 9, 47, 85, 123, 18, 56, 94, 132, 25, 63, 101, 139, 23, 61, 99, 137, 30, 68, 106, 144, 37, 75, 113, 151, 35, 73, 111, 149, 32, 70, 108, 146, 34, 72, 110, 148, 27, 65, 103, 141, 20, 58, 96, 134, 22, 60, 98, 136, 15, 53, 91, 129, 6, 44, 82, 120, 13, 51, 89, 127, 5, 43, 81, 119)(2, 40, 78, 116, 7, 45, 83, 121, 16, 54, 92, 130, 14, 52, 90, 128, 21, 59, 97, 135, 28, 66, 104, 142, 26, 64, 102, 140, 33, 71, 109, 147, 38, 76, 114, 152, 36, 74, 112, 150, 29, 67, 105, 143, 31, 69, 107, 145, 24, 62, 100, 138, 17, 55, 93, 131, 19, 57, 95, 133, 11, 49, 87, 125, 3, 41, 79, 117, 10, 48, 86, 124, 8, 46, 84, 122)
	L = (1, 40)(2, 39)(3, 47)(4, 46)(5, 45)(6, 52)(7, 43)(8, 42)(9, 41)(10, 50)(11, 56)(12, 48)(13, 54)(14, 44)(15, 59)(16, 51)(17, 61)(18, 49)(19, 63)(20, 64)(21, 53)(22, 66)(23, 55)(24, 68)(25, 57)(26, 58)(27, 71)(28, 60)(29, 73)(30, 62)(31, 75)(32, 74)(33, 65)(34, 76)(35, 67)(36, 70)(37, 69)(38, 72)(77, 117)(78, 120)(79, 115)(80, 125)(81, 124)(82, 116)(83, 129)(84, 127)(85, 131)(86, 119)(87, 118)(88, 133)(89, 122)(90, 134)(91, 121)(92, 136)(93, 123)(94, 138)(95, 126)(96, 128)(97, 141)(98, 130)(99, 143)(100, 132)(101, 145)(102, 146)(103, 135)(104, 148)(105, 137)(106, 150)(107, 139)(108, 140)(109, 149)(110, 142)(111, 147)(112, 144)(113, 152)(114, 151)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.397
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.412 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 19, 19})
Quotient :: loop^2
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^19, Y2^19 ]
Map:: non-degenerate
	R = (1, 39, 77, 115, 4, 42, 80, 118)(2, 40, 78, 116, 6, 44, 82, 120)(3, 41, 79, 117, 8, 46, 84, 122)(5, 43, 81, 119, 10, 48, 86, 124)(7, 45, 83, 121, 12, 50, 88, 126)(9, 47, 85, 123, 14, 52, 90, 128)(11, 49, 87, 125, 16, 54, 92, 130)(13, 51, 89, 127, 18, 56, 94, 132)(15, 53, 91, 129, 20, 58, 96, 134)(17, 55, 93, 131, 22, 60, 98, 136)(19, 57, 95, 133, 24, 62, 100, 138)(21, 59, 97, 135, 26, 64, 102, 140)(23, 61, 99, 137, 28, 66, 104, 142)(25, 63, 101, 139, 30, 68, 106, 144)(27, 65, 103, 141, 32, 70, 108, 146)(29, 67, 105, 143, 34, 72, 110, 148)(31, 69, 107, 145, 36, 74, 112, 150)(33, 71, 109, 147, 37, 75, 113, 151)(35, 73, 111, 149, 38, 76, 114, 152)
	L = (1, 40)(2, 43)(3, 39)(4, 46)(5, 47)(6, 42)(7, 41)(8, 50)(9, 51)(10, 44)(11, 45)(12, 54)(13, 55)(14, 48)(15, 49)(16, 58)(17, 59)(18, 52)(19, 53)(20, 62)(21, 63)(22, 56)(23, 57)(24, 66)(25, 67)(26, 60)(27, 61)(28, 70)(29, 71)(30, 64)(31, 65)(32, 74)(33, 73)(34, 68)(35, 69)(36, 76)(37, 72)(38, 75)(77, 117)(78, 115)(79, 121)(80, 120)(81, 116)(82, 124)(83, 125)(84, 118)(85, 119)(86, 128)(87, 129)(88, 122)(89, 123)(90, 132)(91, 133)(92, 126)(93, 127)(94, 136)(95, 137)(96, 130)(97, 131)(98, 140)(99, 141)(100, 134)(101, 135)(102, 144)(103, 145)(104, 138)(105, 139)(106, 148)(107, 149)(108, 142)(109, 143)(110, 151)(111, 147)(112, 146)(113, 152)(114, 150)
	local type(s) :: { ( 4, 19, 4, 19, 4, 19, 4, 19 ) }
Outer automorphisms :: reflexible
Dual of E18.402
Transitivity :: VT+
Graph::
	v = 19 e = 76 f = 23
	degree seq :: [ 8^19 ]

E18.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^19, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40)(3, 41, 5, 43)(4, 42, 6, 44)(7, 45, 9, 47)(8, 46, 10, 48)(11, 49, 13, 51)(12, 50, 14, 52)(15, 53, 17, 55)(16, 54, 18, 56)(19, 57, 21, 59)(20, 58, 22, 60)(23, 61, 25, 63)(24, 62, 26, 64)(27, 65, 29, 67)(28, 66, 30, 68)(31, 69, 33, 71)(32, 70, 34, 72)(35, 73, 37, 75)(36, 74, 38, 76)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)(78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^19, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40)(3, 41, 6, 44)(4, 42, 5, 43)(7, 45, 10, 48)(8, 46, 9, 47)(11, 49, 14, 52)(12, 50, 13, 51)(15, 53, 18, 56)(16, 54, 17, 55)(19, 57, 22, 60)(20, 58, 21, 59)(23, 61, 26, 64)(24, 62, 25, 63)(27, 65, 30, 68)(28, 66, 29, 67)(31, 69, 34, 72)(32, 70, 33, 71)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)(78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^19, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 6, 44)(4, 42, 5, 43)(7, 45, 10, 48)(8, 46, 9, 47)(11, 49, 14, 52)(12, 50, 13, 51)(15, 53, 18, 56)(16, 54, 17, 55)(19, 57, 22, 60)(20, 58, 21, 59)(23, 61, 26, 64)(24, 62, 25, 63)(27, 65, 30, 68)(28, 66, 29, 67)(31, 69, 34, 72)(32, 70, 33, 71)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122, 80, 118)(78, 116, 81, 119, 85, 123, 89, 127, 93, 131, 97, 135, 101, 139, 105, 143, 109, 147, 113, 151, 114, 152, 110, 148, 106, 144, 102, 140, 98, 136, 94, 132, 90, 128, 86, 124, 82, 120)
	L = (1, 80)(2, 82)(3, 77)(4, 84)(5, 78)(6, 86)(7, 79)(8, 88)(9, 81)(10, 90)(11, 83)(12, 92)(13, 85)(14, 94)(15, 87)(16, 96)(17, 89)(18, 98)(19, 91)(20, 100)(21, 93)(22, 102)(23, 95)(24, 104)(25, 97)(26, 106)(27, 99)(28, 108)(29, 101)(30, 110)(31, 103)(32, 112)(33, 105)(34, 114)(35, 107)(36, 111)(37, 109)(38, 113)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.431
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2 * Y3^9 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 17, 55)(12, 50, 18, 56)(13, 51, 15, 53)(14, 52, 16, 54)(19, 57, 25, 63)(20, 58, 26, 64)(21, 59, 23, 61)(22, 60, 24, 62)(27, 65, 33, 71)(28, 66, 34, 72)(29, 67, 31, 69)(30, 68, 32, 70)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 80, 118, 87, 125, 88, 126, 95, 133, 96, 134, 103, 141, 104, 142, 111, 149, 112, 150, 106, 144, 105, 143, 98, 136, 97, 135, 90, 128, 89, 127, 82, 120, 81, 119)(78, 116, 83, 121, 84, 122, 91, 129, 92, 130, 99, 137, 100, 138, 107, 145, 108, 146, 113, 151, 114, 152, 110, 148, 109, 147, 102, 140, 101, 139, 94, 132, 93, 131, 86, 124, 85, 123)
	L = (1, 80)(2, 84)(3, 87)(4, 88)(5, 79)(6, 77)(7, 91)(8, 92)(9, 83)(10, 78)(11, 95)(12, 96)(13, 81)(14, 82)(15, 99)(16, 100)(17, 85)(18, 86)(19, 103)(20, 104)(21, 89)(22, 90)(23, 107)(24, 108)(25, 93)(26, 94)(27, 111)(28, 112)(29, 97)(30, 98)(31, 113)(32, 114)(33, 101)(34, 102)(35, 106)(36, 105)(37, 110)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2 * Y3^-9, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 17, 55)(12, 50, 18, 56)(13, 51, 15, 53)(14, 52, 16, 54)(19, 57, 25, 63)(20, 58, 26, 64)(21, 59, 23, 61)(22, 60, 24, 62)(27, 65, 33, 71)(28, 66, 34, 72)(29, 67, 31, 69)(30, 68, 32, 70)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 82, 120, 87, 125, 90, 128, 95, 133, 98, 136, 103, 141, 106, 144, 111, 149, 112, 150, 104, 142, 105, 143, 96, 134, 97, 135, 88, 126, 89, 127, 80, 118, 81, 119)(78, 116, 83, 121, 86, 124, 91, 129, 94, 132, 99, 137, 102, 140, 107, 145, 110, 148, 113, 151, 114, 152, 108, 146, 109, 147, 100, 138, 101, 139, 92, 130, 93, 131, 84, 122, 85, 123)
	L = (1, 80)(2, 84)(3, 81)(4, 88)(5, 89)(6, 77)(7, 85)(8, 92)(9, 93)(10, 78)(11, 79)(12, 96)(13, 97)(14, 82)(15, 83)(16, 100)(17, 101)(18, 86)(19, 87)(20, 104)(21, 105)(22, 90)(23, 91)(24, 108)(25, 109)(26, 94)(27, 95)(28, 111)(29, 112)(30, 98)(31, 99)(32, 113)(33, 114)(34, 102)(35, 103)(36, 106)(37, 107)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.426
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^3 * Y2 * Y3^3 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 19, 57)(12, 50, 21, 59)(13, 51, 17, 55)(14, 52, 22, 60)(15, 53, 18, 56)(16, 54, 20, 58)(23, 61, 31, 69)(24, 62, 33, 71)(25, 63, 29, 67)(26, 64, 34, 72)(27, 65, 30, 68)(28, 66, 32, 70)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 80, 118, 88, 126, 99, 137, 90, 128, 100, 138, 111, 149, 102, 140, 104, 142, 112, 150, 103, 141, 92, 130, 101, 139, 91, 129, 82, 120, 89, 127, 81, 119)(78, 116, 83, 121, 93, 131, 84, 122, 94, 132, 105, 143, 96, 134, 106, 144, 113, 151, 108, 146, 110, 148, 114, 152, 109, 147, 98, 136, 107, 145, 97, 135, 86, 124, 95, 133, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 87)(6, 77)(7, 94)(8, 96)(9, 93)(10, 78)(11, 99)(12, 100)(13, 79)(14, 102)(15, 81)(16, 82)(17, 105)(18, 106)(19, 83)(20, 108)(21, 85)(22, 86)(23, 111)(24, 104)(25, 89)(26, 103)(27, 91)(28, 92)(29, 113)(30, 110)(31, 95)(32, 109)(33, 97)(34, 98)(35, 112)(36, 101)(37, 114)(38, 107)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.429
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, Y2 * Y3^-6, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 18, 56)(12, 50, 17, 55)(13, 51, 21, 59)(14, 52, 22, 60)(15, 53, 19, 57)(16, 54, 20, 58)(23, 61, 30, 68)(24, 62, 29, 67)(25, 63, 33, 71)(26, 64, 34, 72)(27, 65, 31, 69)(28, 66, 32, 70)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 82, 120, 89, 127, 99, 137, 92, 130, 101, 139, 111, 149, 104, 142, 102, 140, 112, 150, 103, 141, 90, 128, 100, 138, 91, 129, 80, 118, 88, 126, 81, 119)(78, 116, 83, 121, 93, 131, 86, 124, 95, 133, 105, 143, 98, 136, 107, 145, 113, 151, 110, 148, 108, 146, 114, 152, 109, 147, 96, 134, 106, 144, 97, 135, 84, 122, 94, 132, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 94)(8, 96)(9, 97)(10, 78)(11, 81)(12, 100)(13, 79)(14, 102)(15, 103)(16, 82)(17, 85)(18, 106)(19, 83)(20, 108)(21, 109)(22, 86)(23, 87)(24, 112)(25, 89)(26, 101)(27, 104)(28, 92)(29, 93)(30, 114)(31, 95)(32, 107)(33, 110)(34, 98)(35, 99)(36, 111)(37, 105)(38, 113)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.421
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-3, Y3^4 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y3^2 * Y2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 37, 75)(28, 66, 38, 76)(29, 67, 36, 74)(30, 68, 35, 73)(31, 69, 33, 71)(32, 70, 34, 72)(77, 115, 79, 117, 87, 125, 91, 129, 80, 118, 88, 126, 103, 141, 106, 144, 90, 128, 104, 142, 108, 146, 94, 132, 105, 143, 107, 145, 93, 131, 82, 120, 89, 127, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 99, 137, 84, 122, 96, 134, 109, 147, 112, 150, 98, 136, 110, 148, 114, 152, 102, 140, 111, 149, 113, 151, 101, 139, 86, 124, 97, 135, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 103)(12, 104)(13, 79)(14, 105)(15, 106)(16, 87)(17, 81)(18, 82)(19, 109)(20, 110)(21, 83)(22, 111)(23, 112)(24, 95)(25, 85)(26, 86)(27, 108)(28, 107)(29, 89)(30, 94)(31, 92)(32, 93)(33, 114)(34, 113)(35, 97)(36, 102)(37, 100)(38, 101)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.423
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3, Y2), (Y2^-1 * Y1)^2, Y2^2 * Y3 * Y2^2, Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 38, 76)(28, 66, 36, 74)(29, 67, 37, 75)(30, 68, 34, 72)(31, 69, 35, 73)(32, 70, 33, 71)(77, 115, 79, 117, 87, 125, 93, 131, 82, 120, 89, 127, 103, 141, 106, 144, 94, 132, 105, 143, 107, 145, 90, 128, 104, 142, 108, 146, 91, 129, 80, 118, 88, 126, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 101, 139, 86, 124, 97, 135, 109, 147, 112, 150, 102, 140, 111, 149, 113, 151, 98, 136, 110, 148, 114, 152, 99, 137, 84, 122, 96, 134, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 92)(12, 104)(13, 79)(14, 106)(15, 107)(16, 108)(17, 81)(18, 82)(19, 100)(20, 110)(21, 83)(22, 112)(23, 113)(24, 114)(25, 85)(26, 86)(27, 87)(28, 94)(29, 89)(30, 93)(31, 103)(32, 105)(33, 95)(34, 102)(35, 97)(36, 101)(37, 109)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.419
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^4, Y2^-1 * Y3 * Y2^-4, Y3 * Y2^2 * Y3^2 * Y2^2 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 35, 73)(28, 66, 37, 75)(29, 67, 33, 71)(30, 68, 38, 76)(31, 69, 34, 72)(32, 70, 36, 74)(77, 115, 79, 117, 87, 125, 103, 141, 91, 129, 80, 118, 88, 126, 104, 142, 108, 146, 94, 132, 90, 128, 106, 144, 107, 145, 93, 131, 82, 120, 89, 127, 105, 143, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 109, 147, 99, 137, 84, 122, 96, 134, 110, 148, 114, 152, 102, 140, 98, 136, 112, 150, 113, 151, 101, 139, 86, 124, 97, 135, 111, 149, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 104)(12, 106)(13, 79)(14, 89)(15, 94)(16, 103)(17, 81)(18, 82)(19, 110)(20, 112)(21, 83)(22, 97)(23, 102)(24, 109)(25, 85)(26, 86)(27, 108)(28, 107)(29, 87)(30, 105)(31, 92)(32, 93)(33, 114)(34, 113)(35, 95)(36, 111)(37, 100)(38, 101)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.424
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y3^4, Y2^-2 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 34, 72)(28, 66, 33, 71)(29, 67, 38, 76)(30, 68, 37, 75)(31, 69, 36, 74)(32, 70, 35, 73)(77, 115, 79, 117, 87, 125, 103, 141, 93, 131, 82, 120, 89, 127, 105, 143, 107, 145, 90, 128, 94, 132, 106, 144, 108, 146, 91, 129, 80, 118, 88, 126, 104, 142, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 109, 147, 101, 139, 86, 124, 97, 135, 111, 149, 113, 151, 98, 136, 102, 140, 112, 150, 114, 152, 99, 137, 84, 122, 96, 134, 110, 148, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 104)(12, 94)(13, 79)(14, 93)(15, 107)(16, 108)(17, 81)(18, 82)(19, 110)(20, 102)(21, 83)(22, 101)(23, 113)(24, 114)(25, 85)(26, 86)(27, 92)(28, 106)(29, 87)(30, 89)(31, 103)(32, 105)(33, 100)(34, 112)(35, 95)(36, 97)(37, 109)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.420
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2^4, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 22, 60)(12, 50, 20, 58)(13, 51, 21, 59)(14, 52, 18, 56)(15, 53, 19, 57)(16, 54, 17, 55)(23, 61, 34, 72)(24, 62, 32, 70)(25, 63, 33, 71)(26, 64, 30, 68)(27, 65, 31, 69)(28, 66, 29, 67)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 99, 137, 103, 141, 91, 129, 80, 118, 88, 126, 100, 138, 111, 149, 112, 150, 102, 140, 90, 128, 82, 120, 89, 127, 101, 139, 104, 142, 92, 130, 81, 119)(78, 116, 83, 121, 93, 131, 105, 143, 109, 147, 97, 135, 84, 122, 94, 132, 106, 144, 113, 151, 114, 152, 108, 146, 96, 134, 86, 124, 95, 133, 107, 145, 110, 148, 98, 136, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 94)(8, 96)(9, 97)(10, 78)(11, 100)(12, 82)(13, 79)(14, 81)(15, 102)(16, 103)(17, 106)(18, 86)(19, 83)(20, 85)(21, 108)(22, 109)(23, 111)(24, 89)(25, 87)(26, 92)(27, 112)(28, 99)(29, 113)(30, 95)(31, 93)(32, 98)(33, 114)(34, 105)(35, 101)(36, 104)(37, 107)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.422
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^3 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 21, 59)(12, 50, 22, 60)(13, 51, 20, 58)(14, 52, 19, 57)(15, 53, 17, 55)(16, 54, 18, 56)(23, 61, 33, 71)(24, 62, 34, 72)(25, 63, 32, 70)(26, 64, 31, 69)(27, 65, 29, 67)(28, 66, 30, 68)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 99, 137, 104, 142, 92, 130, 82, 120, 89, 127, 101, 139, 111, 149, 112, 150, 102, 140, 90, 128, 80, 118, 88, 126, 100, 138, 103, 141, 91, 129, 81, 119)(78, 116, 83, 121, 93, 131, 105, 143, 110, 148, 98, 136, 86, 124, 95, 133, 107, 145, 113, 151, 114, 152, 108, 146, 96, 134, 84, 122, 94, 132, 106, 144, 109, 147, 97, 135, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 89)(5, 90)(6, 77)(7, 94)(8, 95)(9, 96)(10, 78)(11, 100)(12, 101)(13, 79)(14, 82)(15, 102)(16, 81)(17, 106)(18, 107)(19, 83)(20, 86)(21, 108)(22, 85)(23, 103)(24, 111)(25, 87)(26, 92)(27, 112)(28, 91)(29, 109)(30, 113)(31, 93)(32, 98)(33, 114)(34, 97)(35, 99)(36, 104)(37, 105)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.430
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3^2, Y2^-4 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 36, 74)(28, 66, 37, 75)(29, 67, 38, 76)(30, 68, 33, 71)(31, 69, 34, 72)(32, 70, 35, 73)(77, 115, 79, 117, 87, 125, 103, 141, 108, 146, 94, 132, 91, 129, 80, 118, 88, 126, 104, 142, 107, 145, 93, 131, 82, 120, 89, 127, 90, 128, 105, 143, 106, 144, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 109, 147, 114, 152, 102, 140, 99, 137, 84, 122, 96, 134, 110, 148, 113, 151, 101, 139, 86, 124, 97, 135, 98, 136, 111, 149, 112, 150, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 104)(12, 105)(13, 79)(14, 87)(15, 89)(16, 94)(17, 81)(18, 82)(19, 110)(20, 111)(21, 83)(22, 95)(23, 97)(24, 102)(25, 85)(26, 86)(27, 107)(28, 106)(29, 103)(30, 108)(31, 92)(32, 93)(33, 113)(34, 112)(35, 109)(36, 114)(37, 100)(38, 101)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.417
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2 * Y3^2 * Y2 * Y3, Y3^-1 * Y2^4 * Y3^-1 * Y2, Y3^7 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 38, 76)(28, 66, 37, 75)(29, 67, 36, 74)(30, 68, 35, 73)(31, 69, 34, 72)(32, 70, 33, 71)(77, 115, 79, 117, 87, 125, 103, 141, 106, 144, 90, 128, 93, 131, 82, 120, 89, 127, 104, 142, 107, 145, 91, 129, 80, 118, 88, 126, 94, 132, 105, 143, 108, 146, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 109, 147, 112, 150, 98, 136, 101, 139, 86, 124, 97, 135, 110, 148, 113, 151, 99, 137, 84, 122, 96, 134, 102, 140, 111, 149, 114, 152, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 94)(12, 93)(13, 79)(14, 92)(15, 106)(16, 107)(17, 81)(18, 82)(19, 102)(20, 101)(21, 83)(22, 100)(23, 112)(24, 113)(25, 85)(26, 86)(27, 105)(28, 87)(29, 89)(30, 108)(31, 103)(32, 104)(33, 111)(34, 95)(35, 97)(36, 114)(37, 109)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.428
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3 * Y2^2 * Y3 * Y2, Y3^-4 * Y2 * Y3^-1 * Y2, Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 37, 75)(28, 66, 36, 74)(29, 67, 38, 76)(30, 68, 34, 72)(31, 69, 33, 71)(32, 70, 35, 73)(77, 115, 79, 117, 87, 125, 94, 132, 104, 142, 105, 143, 107, 145, 91, 129, 80, 118, 88, 126, 93, 131, 82, 120, 89, 127, 103, 141, 108, 146, 106, 144, 90, 128, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 102, 140, 110, 148, 111, 149, 113, 151, 99, 137, 84, 122, 96, 134, 101, 139, 86, 124, 97, 135, 109, 147, 114, 152, 112, 150, 98, 136, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 93)(12, 92)(13, 79)(14, 105)(15, 106)(16, 107)(17, 81)(18, 82)(19, 101)(20, 100)(21, 83)(22, 111)(23, 112)(24, 113)(25, 85)(26, 86)(27, 87)(28, 89)(29, 103)(30, 104)(31, 108)(32, 94)(33, 95)(34, 97)(35, 109)(36, 110)(37, 114)(38, 102)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.427
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 24, 62)(12, 50, 25, 63)(13, 51, 23, 61)(14, 52, 26, 64)(15, 53, 21, 59)(16, 54, 19, 57)(17, 55, 20, 58)(18, 56, 22, 60)(27, 65, 36, 74)(28, 66, 37, 75)(29, 67, 38, 76)(30, 68, 33, 71)(31, 69, 34, 72)(32, 70, 35, 73)(77, 115, 79, 117, 87, 125, 90, 128, 104, 142, 108, 146, 106, 144, 93, 131, 82, 120, 89, 127, 91, 129, 80, 118, 88, 126, 103, 141, 105, 143, 107, 145, 94, 132, 92, 130, 81, 119)(78, 116, 83, 121, 95, 133, 98, 136, 110, 148, 114, 152, 112, 150, 101, 139, 86, 124, 97, 135, 99, 137, 84, 122, 96, 134, 109, 147, 111, 149, 113, 151, 102, 140, 100, 138, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 90)(5, 91)(6, 77)(7, 96)(8, 98)(9, 99)(10, 78)(11, 103)(12, 104)(13, 79)(14, 105)(15, 87)(16, 89)(17, 81)(18, 82)(19, 109)(20, 110)(21, 83)(22, 111)(23, 95)(24, 97)(25, 85)(26, 86)(27, 108)(28, 107)(29, 106)(30, 92)(31, 93)(32, 94)(33, 114)(34, 113)(35, 112)(36, 100)(37, 101)(38, 102)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.418
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^-4 * Y3 * Y2^-5, (Y3 * Y2^-1)^19 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 18, 56)(12, 50, 17, 55)(13, 51, 16, 54)(14, 52, 15, 53)(19, 57, 26, 64)(20, 58, 25, 63)(21, 59, 24, 62)(22, 60, 23, 61)(27, 65, 34, 72)(28, 66, 33, 71)(29, 67, 32, 70)(30, 68, 31, 69)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 95, 133, 103, 141, 111, 149, 105, 143, 97, 135, 89, 127, 80, 118, 82, 120, 88, 126, 96, 134, 104, 142, 112, 150, 106, 144, 98, 136, 90, 128, 81, 119)(78, 116, 83, 121, 91, 129, 99, 137, 107, 145, 113, 151, 109, 147, 101, 139, 93, 131, 84, 122, 86, 124, 92, 130, 100, 138, 108, 146, 114, 152, 110, 148, 102, 140, 94, 132, 85, 123)
	L = (1, 80)(2, 84)(3, 82)(4, 81)(5, 89)(6, 77)(7, 86)(8, 85)(9, 93)(10, 78)(11, 88)(12, 79)(13, 90)(14, 97)(15, 92)(16, 83)(17, 94)(18, 101)(19, 96)(20, 87)(21, 98)(22, 105)(23, 100)(24, 91)(25, 102)(26, 109)(27, 104)(28, 95)(29, 106)(30, 111)(31, 108)(32, 99)(33, 110)(34, 113)(35, 112)(36, 103)(37, 114)(38, 107)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.425
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 19, 19})
Quotient :: dipole
Aut^+ = D38 (small group id <38, 1>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^-9 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 39, 2, 40)(3, 41, 9, 47)(4, 42, 10, 48)(5, 43, 7, 45)(6, 44, 8, 46)(11, 49, 17, 55)(12, 50, 18, 56)(13, 51, 15, 53)(14, 52, 16, 54)(19, 57, 25, 63)(20, 58, 26, 64)(21, 59, 23, 61)(22, 60, 24, 62)(27, 65, 33, 71)(28, 66, 34, 72)(29, 67, 31, 69)(30, 68, 32, 70)(35, 73, 38, 76)(36, 74, 37, 75)(77, 115, 79, 117, 87, 125, 95, 133, 103, 141, 111, 149, 106, 144, 98, 136, 90, 128, 82, 120, 80, 118, 88, 126, 96, 134, 104, 142, 112, 150, 105, 143, 97, 135, 89, 127, 81, 119)(78, 116, 83, 121, 91, 129, 99, 137, 107, 145, 113, 151, 110, 148, 102, 140, 94, 132, 86, 124, 84, 122, 92, 130, 100, 138, 108, 146, 114, 152, 109, 147, 101, 139, 93, 131, 85, 123)
	L = (1, 80)(2, 84)(3, 88)(4, 79)(5, 82)(6, 77)(7, 92)(8, 83)(9, 86)(10, 78)(11, 96)(12, 87)(13, 90)(14, 81)(15, 100)(16, 91)(17, 94)(18, 85)(19, 104)(20, 95)(21, 98)(22, 89)(23, 108)(24, 99)(25, 102)(26, 93)(27, 112)(28, 103)(29, 106)(30, 97)(31, 114)(32, 107)(33, 110)(34, 101)(35, 105)(36, 111)(37, 109)(38, 113)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 4, 38, 4, 38 ), ( 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.415
Graph:: bipartite
	v = 21 e = 76 f = 21
	degree seq :: [ 4^19, 38^2 ]

E18.432 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^8 * T1 * T2^10, 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 37, 34, 29, 26, 21, 18, 13, 10, 4, 8, 2, 7, 11, 16, 19, 24, 27, 32, 35, 38, 33, 30, 25, 22, 17, 14, 9, 5)(39, 40, 44, 49, 53, 57, 61, 65, 69, 73, 75, 71, 67, 63, 59, 55, 51, 47, 42)(41, 45, 50, 54, 58, 62, 66, 70, 74, 76, 72, 68, 64, 60, 56, 52, 48, 43, 46)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.472
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.433 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-5, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 34, 23, 11, 21, 26, 35, 38, 33, 22, 28, 14, 27, 36, 37, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(39, 40, 44, 52, 64, 58, 47, 55, 67, 74, 76, 72, 62, 51, 56, 68, 60, 49, 42)(41, 45, 53, 65, 73, 70, 57, 63, 69, 75, 71, 61, 50, 43, 46, 54, 66, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.470
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.434 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-6 * T1, T1 * T2 * T1^5 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, 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^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 37, 36, 28, 14, 27, 22, 33, 38, 35, 26, 23, 11, 21, 32, 34, 24, 12, 4, 10, 20, 25, 13, 5)(39, 40, 44, 52, 64, 62, 51, 56, 68, 74, 76, 70, 58, 47, 55, 67, 60, 49, 42)(41, 45, 53, 65, 61, 50, 43, 46, 54, 66, 73, 72, 63, 57, 69, 75, 71, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.473
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.435 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1^-1 * T2^3, T1 * T2 * T1^8 * T2, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 35, 38, 30, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(39, 40, 44, 52, 60, 68, 75, 67, 59, 51, 47, 55, 63, 71, 73, 65, 57, 49, 42)(41, 45, 53, 61, 69, 74, 66, 58, 50, 43, 46, 54, 62, 70, 76, 72, 64, 56, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.468
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.436 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-8, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 37, 28, 35, 30, 38, 36, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(39, 40, 44, 52, 60, 68, 72, 64, 56, 47, 51, 55, 63, 71, 74, 66, 58, 49, 42)(41, 45, 53, 61, 69, 76, 75, 67, 59, 50, 43, 46, 54, 62, 70, 73, 65, 57, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.471
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.437 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^4, T2^-7 * T1^-1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^4 * T1^-2 * T2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 34, 24, 12, 4, 10, 20, 31, 36, 26, 14, 23, 11, 21, 32, 37, 27, 16, 6, 15, 22, 33, 38, 29, 18, 8, 2, 7, 17, 28, 35, 25, 13, 5)(39, 40, 44, 52, 62, 51, 56, 65, 74, 68, 73, 76, 70, 58, 47, 55, 60, 49, 42)(41, 45, 53, 61, 50, 43, 46, 54, 64, 72, 63, 67, 75, 69, 57, 66, 71, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.466
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.438 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^-1 * T1 * T2^-1 * T1, T2^-7 * T1 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4 * T1^-1, 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, 3, 9, 19, 30, 29, 18, 8, 2, 7, 17, 28, 38, 32, 22, 16, 6, 15, 27, 37, 33, 23, 11, 21, 14, 26, 36, 34, 24, 12, 4, 10, 20, 31, 35, 25, 13, 5)(39, 40, 44, 52, 58, 47, 55, 65, 74, 73, 68, 76, 71, 62, 51, 56, 60, 49, 42)(41, 45, 53, 64, 69, 57, 66, 75, 72, 63, 67, 70, 61, 50, 43, 46, 54, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.469
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.439 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T2)^2, (F * T1)^2, T1^19 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 38, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(39, 40, 44, 48, 52, 56, 60, 64, 68, 72, 75, 71, 67, 63, 59, 55, 51, 47, 42)(41, 43, 45, 49, 53, 57, 61, 65, 69, 73, 76, 74, 70, 66, 62, 58, 54, 50, 46)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.464
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.440 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^19, (T2^-1 * T1^-1)^38 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 38, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(39, 40, 44, 48, 52, 56, 60, 64, 68, 72, 74, 70, 66, 62, 58, 54, 50, 46, 42)(41, 45, 49, 53, 57, 61, 65, 69, 73, 76, 75, 71, 67, 63, 59, 55, 51, 47, 43)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.467
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.441 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^11, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 37, 31, 25, 19, 13, 5)(39, 40, 44, 47, 53, 58, 60, 65, 70, 72, 75, 73, 68, 63, 61, 56, 51, 49, 42)(41, 45, 52, 54, 59, 64, 66, 71, 76, 74, 69, 67, 62, 57, 55, 50, 43, 46, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.462
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.442 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-12 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 37, 31, 25, 19, 13, 5)(39, 40, 44, 51, 53, 58, 63, 65, 70, 75, 72, 74, 67, 60, 62, 55, 47, 49, 42)(41, 45, 50, 43, 46, 52, 57, 59, 64, 69, 71, 76, 73, 66, 68, 61, 54, 56, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.465
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.443 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-1 * T2 * T1^-1 * T2, T2 * T1 * T2 * T1 * T2^2 * T1^3, T1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2^-3 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 36, 22, 34, 26, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 35, 28, 14, 27, 37, 23, 11, 21, 33, 25, 13, 5)(39, 40, 44, 52, 64, 71, 58, 47, 55, 67, 75, 62, 51, 56, 68, 73, 60, 49, 42)(41, 45, 53, 65, 76, 63, 70, 57, 69, 74, 61, 50, 43, 46, 54, 66, 72, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.460
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.444 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-1, T1^3 * T2^2 * T1^4, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 28, 14, 27, 37, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 26, 38, 22, 36, 30, 16, 6, 15, 29, 25, 13, 5)(39, 40, 44, 52, 64, 71, 62, 51, 56, 68, 73, 58, 47, 55, 67, 75, 60, 49, 42)(41, 45, 53, 65, 76, 61, 50, 43, 46, 54, 66, 72, 57, 69, 63, 70, 74, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.463
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.445 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T1 * T2^-1 * T1 * T2^-3 * T1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-5, T1^4 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 38, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 31, 22, 25, 13, 5)(39, 40, 44, 52, 64, 72, 70, 62, 51, 56, 58, 47, 55, 66, 74, 68, 60, 49, 42)(41, 45, 53, 65, 73, 69, 61, 50, 43, 46, 54, 57, 67, 75, 76, 71, 63, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.458
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.446 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-2 * T2^-1 * T1^-1 * T2^-3, T1^-8 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 36, 27, 14, 25, 13, 5)(39, 40, 44, 52, 64, 72, 69, 58, 47, 55, 62, 51, 56, 66, 74, 71, 60, 49, 42)(41, 45, 53, 63, 67, 75, 76, 68, 57, 61, 50, 43, 46, 54, 65, 73, 70, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.461
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.447 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^4, T2^-8 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 31, 23, 14, 12, 4, 10, 20, 28, 36, 32, 24, 16, 6, 15, 11, 21, 29, 37, 34, 26, 18, 8, 2, 7, 17, 25, 33, 38, 30, 22, 13, 5)(39, 40, 44, 52, 51, 56, 62, 69, 68, 72, 74, 65, 71, 67, 58, 47, 55, 49, 42)(41, 45, 53, 50, 43, 46, 54, 61, 60, 64, 70, 73, 76, 75, 66, 57, 63, 59, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.457
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.448 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-7 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 34, 26, 18, 8, 2, 7, 17, 25, 33, 36, 28, 20, 11, 16, 6, 15, 24, 32, 37, 29, 21, 12, 4, 10, 14, 23, 31, 38, 30, 22, 13, 5)(39, 40, 44, 52, 47, 55, 62, 69, 65, 71, 75, 68, 72, 66, 59, 51, 56, 49, 42)(41, 45, 53, 61, 57, 63, 70, 76, 73, 74, 67, 60, 64, 58, 50, 43, 46, 54, 48)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 76^19 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.459
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 38 f = 1
	degree seq :: [ 19^2, 38 ]

E18.449 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^12, (T2^-1 * T1^-1)^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 35, 29, 23, 17, 11, 5)(39, 40, 44, 41, 45, 50, 47, 51, 56, 53, 57, 62, 59, 63, 68, 65, 69, 74, 71, 75, 73, 76, 72, 67, 70, 66, 61, 64, 60, 55, 58, 54, 49, 52, 48, 43, 46, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.478
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.450 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^3, (F * T2)^2, (F * T1)^2, T2^-12 * T1^2, T2^-6 * T1 * T2^6 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 35, 29, 23, 17, 11, 5)(39, 40, 44, 43, 46, 50, 49, 52, 56, 55, 58, 62, 61, 64, 68, 67, 70, 74, 73, 76, 71, 75, 72, 65, 69, 66, 59, 63, 60, 53, 57, 54, 47, 51, 48, 41, 45, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.475
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.451 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^-2 * T2 * T1^-3, T2 * T1^-2 * T2^7, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-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, 29, 36, 26, 16, 6, 15, 25, 35, 32, 22, 12, 4, 10, 20, 30, 38, 28, 18, 8, 2, 7, 17, 27, 37, 31, 21, 11, 14, 24, 34, 33, 23, 13, 5)(39, 40, 44, 52, 48, 41, 45, 53, 62, 58, 47, 55, 63, 72, 68, 57, 65, 73, 71, 76, 67, 75, 70, 61, 66, 74, 69, 60, 51, 56, 64, 59, 50, 43, 46, 54, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.479
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^-2 * T2^-1 * T1^-3, T1^-1 * T2^-2 * T1^-1 * T2^-6, T1 * T2^2 * T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 34, 24, 14, 11, 21, 31, 38, 28, 18, 8, 2, 7, 17, 27, 37, 32, 22, 12, 4, 10, 20, 30, 36, 26, 16, 6, 15, 25, 35, 33, 23, 13, 5)(39, 40, 44, 52, 50, 43, 46, 54, 62, 60, 51, 56, 64, 72, 70, 61, 66, 74, 67, 75, 71, 76, 68, 57, 65, 73, 69, 58, 47, 55, 63, 59, 48, 41, 45, 53, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.476
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.453 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-3 * T2^-1 * T1^3, T1^-2 * T2 * T1^-5, T1^-2 * T2^-1 * T1^-1 * T2^-4, 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, 3, 9, 19, 33, 22, 26, 36, 32, 18, 8, 2, 7, 17, 31, 23, 11, 21, 35, 38, 30, 16, 6, 15, 29, 24, 12, 4, 10, 20, 34, 37, 28, 14, 27, 25, 13, 5)(39, 40, 44, 52, 64, 59, 48, 41, 45, 53, 65, 74, 73, 58, 47, 55, 67, 63, 70, 76, 72, 57, 69, 62, 51, 56, 68, 75, 71, 61, 50, 43, 46, 54, 66, 60, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.481
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.454 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^-6, T1^-1 * T2 * T1^-1 * T2^4 * T1^-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 * T1, (T1^-1 * T2^-1)^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 28, 14, 27, 37, 35, 24, 12, 4, 10, 20, 30, 16, 6, 15, 29, 38, 34, 23, 11, 21, 32, 18, 8, 2, 7, 17, 31, 36, 26, 22, 33, 25, 13, 5)(39, 40, 44, 52, 64, 61, 50, 43, 46, 54, 66, 74, 72, 62, 51, 56, 68, 57, 69, 76, 73, 63, 70, 58, 47, 55, 67, 75, 71, 59, 48, 41, 45, 53, 65, 60, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.480
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.455 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-3, T2^2 * T1^-1 * T2^2 * T1^3, T1^-2 * T2 * T1^-7, T1^-3 * T2^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 31, 37, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 38, 33, 23, 32, 26, 16, 6, 15, 13, 5)(39, 40, 44, 52, 61, 69, 67, 59, 48, 41, 45, 53, 62, 70, 75, 74, 66, 58, 47, 55, 51, 56, 64, 72, 76, 73, 65, 57, 50, 43, 46, 54, 63, 71, 68, 60, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.474
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.456 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {19, 38, 38})
Quotient :: edge
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-1 * T1 * T2^-1, T1^-2 * T2^-1 * T1^-7, T1^2 * T2^3 * T1^2 * T2^3 * T1 * T2^3, (T1^-1 * T2^-1)^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 38, 36, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 37, 31, 28, 35, 30, 21, 11, 19, 13, 5)(39, 40, 44, 52, 61, 69, 67, 59, 50, 43, 46, 54, 63, 71, 75, 74, 68, 60, 51, 56, 47, 55, 64, 72, 76, 73, 65, 57, 48, 41, 45, 53, 62, 70, 66, 58, 49, 42)
	L = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.477
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.457 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^8 * T1 * T2^10, 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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, 39, 3, 41, 6, 44, 12, 50, 15, 53, 20, 58, 23, 61, 28, 66, 31, 69, 36, 74, 37, 75, 34, 72, 29, 67, 26, 64, 21, 59, 18, 56, 13, 51, 10, 48, 4, 42, 8, 46, 2, 40, 7, 45, 11, 49, 16, 54, 19, 57, 24, 62, 27, 65, 32, 70, 35, 73, 38, 76, 33, 71, 30, 68, 25, 63, 22, 60, 17, 55, 14, 52, 9, 47, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 49)(7, 50)(8, 41)(9, 42)(10, 43)(11, 53)(12, 54)(13, 47)(14, 48)(15, 57)(16, 58)(17, 51)(18, 52)(19, 61)(20, 62)(21, 55)(22, 56)(23, 65)(24, 66)(25, 59)(26, 60)(27, 69)(28, 70)(29, 63)(30, 64)(31, 73)(32, 74)(33, 67)(34, 68)(35, 75)(36, 76)(37, 71)(38, 72)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.447
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.458 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-5, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 32, 70, 34, 72, 23, 61, 11, 49, 21, 59, 26, 64, 35, 73, 38, 76, 33, 71, 22, 60, 28, 66, 14, 52, 27, 65, 36, 74, 37, 75, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 31, 69, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 63)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 69)(26, 58)(27, 73)(28, 59)(29, 74)(30, 60)(31, 75)(32, 57)(33, 61)(34, 62)(35, 70)(36, 76)(37, 71)(38, 72)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.445
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.459 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-6 * T1, T1 * T2 * T1^5 * T2, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, 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^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 31, 69, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 37, 75, 36, 74, 28, 66, 14, 52, 27, 65, 22, 60, 33, 71, 38, 76, 35, 73, 26, 64, 23, 61, 11, 49, 21, 59, 32, 70, 34, 72, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 57)(26, 62)(27, 61)(28, 73)(29, 60)(30, 74)(31, 75)(32, 58)(33, 59)(34, 63)(35, 72)(36, 76)(37, 71)(38, 70)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.448
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.460 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1^-1 * T2^3, T1 * T2 * T1^8 * T2, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 8, 46, 2, 40, 7, 45, 17, 55, 16, 54, 6, 44, 15, 53, 25, 63, 24, 62, 14, 52, 23, 61, 33, 71, 32, 70, 22, 60, 31, 69, 35, 73, 38, 76, 30, 68, 36, 74, 27, 65, 34, 72, 37, 75, 28, 66, 19, 57, 26, 64, 29, 67, 20, 58, 11, 49, 18, 56, 21, 59, 12, 50, 4, 42, 10, 48, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 47)(14, 60)(15, 61)(16, 62)(17, 63)(18, 48)(19, 49)(20, 50)(21, 51)(22, 68)(23, 69)(24, 70)(25, 71)(26, 56)(27, 57)(28, 58)(29, 59)(30, 75)(31, 74)(32, 76)(33, 73)(34, 64)(35, 65)(36, 66)(37, 67)(38, 72)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.443
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.461 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-8, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 12, 50, 4, 42, 10, 48, 18, 56, 21, 59, 11, 49, 19, 57, 26, 64, 29, 67, 20, 58, 27, 65, 34, 72, 37, 75, 28, 66, 35, 73, 30, 68, 38, 76, 36, 74, 32, 70, 22, 60, 31, 69, 33, 71, 24, 62, 14, 52, 23, 61, 25, 63, 16, 54, 6, 44, 15, 53, 17, 55, 8, 46, 2, 40, 7, 45, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 51)(10, 41)(11, 42)(12, 43)(13, 55)(14, 60)(15, 61)(16, 62)(17, 63)(18, 47)(19, 48)(20, 49)(21, 50)(22, 68)(23, 69)(24, 70)(25, 71)(26, 56)(27, 57)(28, 58)(29, 59)(30, 72)(31, 76)(32, 73)(33, 74)(34, 64)(35, 65)(36, 66)(37, 67)(38, 75)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.446
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.462 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2 * T1^4, T2^-7 * T1^-1 * T2^-1, T1^-1 * T2 * T1^-1 * T2^4 * T1^-2 * T2, T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 30, 68, 34, 72, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 31, 69, 36, 74, 26, 64, 14, 52, 23, 61, 11, 49, 21, 59, 32, 70, 37, 75, 27, 65, 16, 54, 6, 44, 15, 53, 22, 60, 33, 71, 38, 76, 29, 67, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 28, 66, 35, 73, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 62)(15, 61)(16, 64)(17, 60)(18, 65)(19, 66)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 67)(26, 72)(27, 74)(28, 71)(29, 75)(30, 73)(31, 57)(32, 58)(33, 59)(34, 63)(35, 76)(36, 68)(37, 69)(38, 70)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.441
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.463 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^-1 * T1 * T2^-1 * T1, T2^-7 * T1 * T2^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-4 * T1^-1, 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, 39, 3, 41, 9, 47, 19, 57, 30, 68, 29, 67, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 28, 66, 38, 76, 32, 70, 22, 60, 16, 54, 6, 44, 15, 53, 27, 65, 37, 75, 33, 71, 23, 61, 11, 49, 21, 59, 14, 52, 26, 64, 36, 74, 34, 72, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 31, 69, 35, 73, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 58)(15, 64)(16, 59)(17, 65)(18, 60)(19, 66)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 67)(26, 69)(27, 74)(28, 75)(29, 70)(30, 76)(31, 57)(32, 61)(33, 62)(34, 63)(35, 68)(36, 73)(37, 72)(38, 71)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.444
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.464 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T2)^2, (F * T1)^2, T1^19 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 4, 42, 8, 46, 9, 47, 12, 50, 13, 51, 16, 54, 17, 55, 20, 58, 21, 59, 24, 62, 25, 63, 28, 66, 29, 67, 32, 70, 33, 71, 36, 74, 37, 75, 38, 76, 34, 72, 35, 73, 30, 68, 31, 69, 26, 64, 27, 65, 22, 60, 23, 61, 18, 56, 19, 57, 14, 52, 15, 53, 10, 48, 11, 49, 6, 44, 7, 45, 2, 40, 5, 43)
	L = (1, 40)(2, 44)(3, 43)(4, 39)(5, 45)(6, 48)(7, 49)(8, 41)(9, 42)(10, 52)(11, 53)(12, 46)(13, 47)(14, 56)(15, 57)(16, 50)(17, 51)(18, 60)(19, 61)(20, 54)(21, 55)(22, 64)(23, 65)(24, 58)(25, 59)(26, 68)(27, 69)(28, 62)(29, 63)(30, 72)(31, 73)(32, 66)(33, 67)(34, 75)(35, 76)(36, 70)(37, 71)(38, 74)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.439
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.465 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^19, (T2^-1 * T1^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 2, 40, 7, 45, 6, 44, 11, 49, 10, 48, 15, 53, 14, 52, 19, 57, 18, 56, 23, 61, 22, 60, 27, 65, 26, 64, 31, 69, 30, 68, 35, 73, 34, 72, 38, 76, 36, 74, 37, 75, 32, 70, 33, 71, 28, 66, 29, 67, 24, 62, 25, 63, 20, 58, 21, 59, 16, 54, 17, 55, 12, 50, 13, 51, 8, 46, 9, 47, 4, 42, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 41)(6, 48)(7, 49)(8, 42)(9, 43)(10, 52)(11, 53)(12, 46)(13, 47)(14, 56)(15, 57)(16, 50)(17, 51)(18, 60)(19, 61)(20, 54)(21, 55)(22, 64)(23, 65)(24, 58)(25, 59)(26, 68)(27, 69)(28, 62)(29, 63)(30, 72)(31, 73)(32, 66)(33, 67)(34, 74)(35, 76)(36, 70)(37, 71)(38, 75)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.442
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.466 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^11, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 16, 54, 22, 60, 28, 66, 34, 72, 36, 74, 30, 68, 24, 62, 18, 56, 12, 50, 4, 42, 10, 48, 6, 44, 14, 52, 20, 58, 26, 64, 32, 70, 38, 76, 35, 73, 29, 67, 23, 61, 17, 55, 11, 49, 8, 46, 2, 40, 7, 45, 15, 53, 21, 59, 27, 65, 33, 71, 37, 75, 31, 69, 25, 63, 19, 57, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 47)(7, 52)(8, 48)(9, 53)(10, 41)(11, 42)(12, 43)(13, 49)(14, 54)(15, 58)(16, 59)(17, 50)(18, 51)(19, 55)(20, 60)(21, 64)(22, 65)(23, 56)(24, 57)(25, 61)(26, 66)(27, 70)(28, 71)(29, 62)(30, 63)(31, 67)(32, 72)(33, 76)(34, 75)(35, 68)(36, 69)(37, 73)(38, 74)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.437
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.467 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2, T1^-1), T2^2 * T1^3, T1 * T2^-12 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 16, 54, 22, 60, 28, 66, 34, 72, 33, 71, 27, 65, 21, 59, 15, 53, 8, 46, 2, 40, 7, 45, 11, 49, 18, 56, 24, 62, 30, 68, 36, 74, 38, 76, 32, 70, 26, 64, 20, 58, 14, 52, 6, 44, 12, 50, 4, 42, 10, 48, 17, 55, 23, 61, 29, 67, 35, 73, 37, 75, 31, 69, 25, 63, 19, 57, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 51)(7, 50)(8, 52)(9, 49)(10, 41)(11, 42)(12, 43)(13, 53)(14, 57)(15, 58)(16, 56)(17, 47)(18, 48)(19, 59)(20, 63)(21, 64)(22, 62)(23, 54)(24, 55)(25, 65)(26, 69)(27, 70)(28, 68)(29, 60)(30, 61)(31, 71)(32, 75)(33, 76)(34, 74)(35, 66)(36, 67)(37, 72)(38, 73)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.440
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.468 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-1 * T2 * T1^-1 * T2, T2 * T1 * T2 * T1 * T2^2 * T1^3, T1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2^-3 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 36, 74, 22, 60, 34, 72, 26, 64, 38, 76, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 32, 70, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 31, 69, 35, 73, 28, 66, 14, 52, 27, 65, 37, 75, 23, 61, 11, 49, 21, 59, 33, 71, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 70)(26, 71)(27, 76)(28, 72)(29, 75)(30, 73)(31, 74)(32, 57)(33, 58)(34, 59)(35, 60)(36, 61)(37, 62)(38, 63)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.435
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-1, T1^3 * T2^2 * T1^4, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 33, 71, 23, 61, 11, 49, 21, 59, 35, 73, 28, 66, 14, 52, 27, 65, 37, 75, 32, 70, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 31, 69, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 34, 72, 26, 64, 38, 76, 22, 60, 36, 74, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 70)(26, 71)(27, 76)(28, 72)(29, 75)(30, 73)(31, 63)(32, 74)(33, 62)(34, 57)(35, 58)(36, 59)(37, 60)(38, 61)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.438
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.470 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T1 * T2^-1 * T1 * T2^-3 * T1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-5, T1^4 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-3 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 14, 52, 27, 65, 36, 74, 38, 76, 32, 70, 23, 61, 11, 49, 21, 59, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 29, 67, 26, 64, 35, 73, 30, 68, 33, 71, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 16, 54, 6, 44, 15, 53, 28, 66, 37, 75, 34, 72, 31, 69, 22, 60, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 57)(17, 66)(18, 58)(19, 67)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 59)(26, 72)(27, 73)(28, 74)(29, 75)(30, 60)(31, 61)(32, 62)(33, 63)(34, 70)(35, 69)(36, 68)(37, 76)(38, 71)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.433
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.471 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1^-2 * T2^-1 * T1^-1 * T2^-3, T1^-8 * T2^2 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 22, 60, 32, 70, 34, 72, 37, 75, 28, 66, 16, 54, 6, 44, 15, 53, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 30, 68, 33, 71, 35, 73, 26, 64, 29, 67, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 23, 61, 11, 49, 21, 59, 31, 69, 38, 76, 36, 74, 27, 65, 14, 52, 25, 63, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 63)(16, 65)(17, 62)(18, 66)(19, 61)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 67)(26, 72)(27, 73)(28, 74)(29, 75)(30, 57)(31, 58)(32, 59)(33, 60)(34, 69)(35, 70)(36, 71)(37, 76)(38, 68)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.436
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.472 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^4, T2^-8 * T1^3 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 27, 65, 35, 73, 31, 69, 23, 61, 14, 52, 12, 50, 4, 42, 10, 48, 20, 58, 28, 66, 36, 74, 32, 70, 24, 62, 16, 54, 6, 44, 15, 53, 11, 49, 21, 59, 29, 67, 37, 75, 34, 72, 26, 64, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 25, 63, 33, 71, 38, 76, 30, 68, 22, 60, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 51)(15, 50)(16, 61)(17, 49)(18, 62)(19, 63)(20, 47)(21, 48)(22, 64)(23, 60)(24, 69)(25, 59)(26, 70)(27, 71)(28, 57)(29, 58)(30, 72)(31, 68)(32, 73)(33, 67)(34, 74)(35, 76)(36, 65)(37, 66)(38, 75)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.432
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.473 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-3 * T2, T1^-1 * T2^-1 * T1^-1 * T2^-7 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 27, 65, 35, 73, 34, 72, 26, 64, 18, 56, 8, 46, 2, 40, 7, 45, 17, 55, 25, 63, 33, 71, 36, 74, 28, 66, 20, 58, 11, 49, 16, 54, 6, 44, 15, 53, 24, 62, 32, 70, 37, 75, 29, 67, 21, 59, 12, 50, 4, 42, 10, 48, 14, 52, 23, 61, 31, 69, 38, 76, 30, 68, 22, 60, 13, 51, 5, 43)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 47)(15, 61)(16, 48)(17, 62)(18, 49)(19, 63)(20, 50)(21, 51)(22, 64)(23, 57)(24, 69)(25, 70)(26, 58)(27, 71)(28, 59)(29, 60)(30, 72)(31, 65)(32, 76)(33, 75)(34, 66)(35, 74)(36, 67)(37, 68)(38, 73)
	local type(s) :: { ( 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38, 19, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.434
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 38 f = 3
	degree seq :: [ 76 ]

E18.474 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (T2 * T1^-1)^2, (T2, T1^-1), T2^-1 * T1^2 * T2^-1, (F * T1)^2, (F * T2)^2, T1^2 * 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 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 6, 44, 12, 50, 15, 53, 20, 58, 23, 61, 28, 66, 31, 69, 36, 74, 38, 76, 33, 71, 30, 68, 25, 63, 22, 60, 17, 55, 14, 52, 9, 47, 5, 43)(2, 40, 7, 45, 11, 49, 16, 54, 19, 57, 24, 62, 27, 65, 32, 70, 35, 73, 37, 75, 34, 72, 29, 67, 26, 64, 21, 59, 18, 56, 13, 51, 10, 48, 4, 42, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 49)(7, 50)(8, 41)(9, 42)(10, 43)(11, 53)(12, 54)(13, 47)(14, 48)(15, 57)(16, 58)(17, 51)(18, 52)(19, 61)(20, 62)(21, 55)(22, 56)(23, 65)(24, 66)(25, 59)(26, 60)(27, 69)(28, 70)(29, 63)(30, 64)(31, 73)(32, 74)(33, 67)(34, 68)(35, 76)(36, 75)(37, 71)(38, 72)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.455
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.475 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^19, (T2^-1 * T1^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 7, 45, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 37, 75, 33, 71, 29, 67, 25, 63, 21, 59, 17, 55, 13, 51, 9, 47, 5, 43)(2, 40, 6, 44, 10, 48, 14, 52, 18, 56, 22, 60, 26, 64, 30, 68, 34, 72, 38, 76, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46, 4, 42)
	L = (1, 40)(2, 41)(3, 44)(4, 39)(5, 42)(6, 45)(7, 48)(8, 43)(9, 46)(10, 49)(11, 52)(12, 47)(13, 50)(14, 53)(15, 56)(16, 51)(17, 54)(18, 57)(19, 60)(20, 55)(21, 58)(22, 61)(23, 64)(24, 59)(25, 62)(26, 65)(27, 68)(28, 63)(29, 66)(30, 69)(31, 72)(32, 67)(33, 70)(34, 73)(35, 76)(36, 71)(37, 74)(38, 75)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.450
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.476 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-4, T2 * T1 * T2^3 * T1^3 * T2, T2^-3 * T1 * T2^-4 * T1, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 33, 71, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 36, 74, 23, 61, 11, 49, 21, 59, 26, 64, 38, 76, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 31, 69, 35, 73, 22, 60, 28, 66, 14, 52, 27, 65, 37, 75, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 34, 72, 32, 70, 18, 56, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 70)(26, 58)(27, 76)(28, 59)(29, 75)(30, 60)(31, 74)(32, 71)(33, 73)(34, 57)(35, 61)(36, 62)(37, 63)(38, 72)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.452
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.477 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^2 * T1^-1 * T2^-2 * T1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-3, T2^-3 * T1^3 * T2^-2 * T1, T1^67 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 33, 71, 26, 64, 23, 61, 11, 49, 21, 59, 35, 73, 30, 68, 16, 54, 6, 44, 15, 53, 29, 67, 38, 76, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 31, 69, 37, 75, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 34, 72, 28, 66, 14, 52, 27, 65, 22, 60, 36, 74, 32, 70, 18, 56, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 70)(26, 62)(27, 61)(28, 71)(29, 60)(30, 72)(31, 76)(32, 73)(33, 75)(34, 57)(35, 58)(36, 59)(37, 63)(38, 74)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.456
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.478 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T1 * T2^-1 * T1 * T2^-8, 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, 39, 3, 41, 9, 47, 17, 55, 25, 63, 33, 71, 30, 68, 22, 60, 14, 52, 6, 44, 11, 49, 19, 57, 27, 65, 35, 73, 37, 75, 29, 67, 21, 59, 13, 51, 5, 43)(2, 40, 7, 45, 15, 53, 23, 61, 31, 69, 38, 76, 36, 74, 28, 66, 20, 58, 12, 50, 4, 42, 10, 48, 18, 56, 26, 64, 34, 72, 32, 70, 24, 62, 16, 54, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 50)(7, 49)(8, 52)(9, 53)(10, 41)(11, 42)(12, 43)(13, 54)(14, 58)(15, 57)(16, 60)(17, 61)(18, 47)(19, 48)(20, 51)(21, 62)(22, 66)(23, 65)(24, 68)(25, 69)(26, 55)(27, 56)(28, 59)(29, 70)(30, 74)(31, 73)(32, 71)(33, 76)(34, 63)(35, 64)(36, 67)(37, 72)(38, 75)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.449
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.479 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2 * T1^-3 * T2, T2^-3 * T1^-1 * T2^-5 * T1^-1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 29, 67, 37, 75, 31, 69, 23, 61, 11, 49, 21, 59, 16, 54, 6, 44, 15, 53, 27, 65, 35, 73, 33, 71, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 28, 66, 36, 74, 32, 70, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 14, 52, 26, 64, 34, 72, 38, 76, 30, 68, 22, 60, 18, 56, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 57)(15, 64)(16, 58)(17, 65)(18, 59)(19, 66)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 60)(26, 67)(27, 72)(28, 73)(29, 74)(30, 61)(31, 62)(32, 63)(33, 68)(34, 75)(35, 76)(36, 71)(37, 70)(38, 69)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.451
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.480 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T2^-1 * T1^6, T1 * T2 * T1 * T2^5, 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^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 19, 57, 31, 69, 23, 61, 11, 49, 21, 59, 33, 71, 38, 76, 36, 74, 28, 66, 16, 54, 6, 44, 15, 53, 27, 65, 25, 63, 13, 51, 5, 43)(2, 40, 7, 45, 17, 55, 29, 67, 24, 62, 12, 50, 4, 42, 10, 48, 20, 58, 32, 70, 37, 75, 34, 72, 22, 60, 14, 52, 26, 64, 35, 73, 30, 68, 18, 56, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 54)(9, 55)(10, 41)(11, 42)(12, 43)(13, 56)(14, 59)(15, 64)(16, 60)(17, 65)(18, 66)(19, 67)(20, 47)(21, 48)(22, 49)(23, 50)(24, 51)(25, 68)(26, 71)(27, 73)(28, 72)(29, 63)(30, 74)(31, 62)(32, 57)(33, 58)(34, 61)(35, 76)(36, 75)(37, 69)(38, 70)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.454
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.481 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {19, 38, 38})
Quotient :: loop
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-1 * T1 * T2^-2 * T1, T1^12 * T2, (T1^-1 * T2^-1)^38 ]
Map:: non-degenerate
	R = (1, 39, 3, 41, 9, 47, 6, 44, 15, 53, 22, 60, 20, 58, 27, 65, 34, 72, 32, 70, 35, 73, 37, 75, 30, 68, 23, 61, 25, 63, 18, 56, 11, 49, 13, 51, 5, 43)(2, 40, 7, 45, 16, 54, 14, 52, 21, 59, 28, 66, 26, 64, 33, 71, 38, 76, 36, 74, 29, 67, 31, 69, 24, 62, 17, 55, 19, 57, 12, 50, 4, 42, 10, 48, 8, 46)
	L = (1, 40)(2, 44)(3, 45)(4, 39)(5, 46)(6, 52)(7, 53)(8, 47)(9, 54)(10, 41)(11, 42)(12, 43)(13, 48)(14, 58)(15, 59)(16, 60)(17, 49)(18, 50)(19, 51)(20, 64)(21, 65)(22, 66)(23, 55)(24, 56)(25, 57)(26, 70)(27, 71)(28, 72)(29, 61)(30, 62)(31, 63)(32, 74)(33, 73)(34, 76)(35, 67)(36, 68)(37, 69)(38, 75)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible
Dual of E18.453
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.482 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y3 * Y2^2 * Y1^-1, (R * Y3)^2, (Y2, Y3^-1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, Y1^4 * Y2^-4, Y2^2 * Y1^17, Y2^2 * Y1^7 * Y2^2 * Y3^-8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 37, 75, 33, 71, 29, 67, 25, 63, 21, 59, 17, 55, 13, 51, 9, 47, 4, 42)(3, 41, 7, 45, 12, 50, 16, 54, 20, 58, 24, 62, 28, 66, 32, 70, 36, 74, 38, 76, 34, 72, 30, 68, 26, 64, 22, 60, 18, 56, 14, 52, 10, 48, 5, 43, 8, 46)(77, 115, 79, 117, 82, 120, 88, 126, 91, 129, 96, 134, 99, 137, 104, 142, 107, 145, 112, 150, 113, 151, 110, 148, 105, 143, 102, 140, 97, 135, 94, 132, 89, 127, 86, 124, 80, 118, 84, 122, 78, 116, 83, 121, 87, 125, 92, 130, 95, 133, 100, 138, 103, 141, 108, 146, 111, 149, 114, 152, 109, 147, 106, 144, 101, 139, 98, 136, 93, 131, 90, 128, 85, 123, 81, 119)
	L = (1, 80)(2, 77)(3, 84)(4, 85)(5, 86)(6, 78)(7, 79)(8, 81)(9, 89)(10, 90)(11, 82)(12, 83)(13, 93)(14, 94)(15, 87)(16, 88)(17, 97)(18, 98)(19, 91)(20, 92)(21, 101)(22, 102)(23, 95)(24, 96)(25, 105)(26, 106)(27, 99)(28, 100)(29, 109)(30, 110)(31, 103)(32, 104)(33, 113)(34, 114)(35, 107)(36, 108)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.530
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.483 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^19, Y1^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 10, 48, 14, 52, 18, 56, 22, 60, 26, 64, 30, 68, 34, 72, 37, 75, 33, 71, 29, 67, 25, 63, 21, 59, 17, 55, 13, 51, 9, 47, 4, 42)(3, 41, 5, 43, 7, 45, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 38, 76, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46)(77, 115, 79, 117, 80, 118, 84, 122, 85, 123, 88, 126, 89, 127, 92, 130, 93, 131, 96, 134, 97, 135, 100, 138, 101, 139, 104, 142, 105, 143, 108, 146, 109, 147, 112, 150, 113, 151, 114, 152, 110, 148, 111, 149, 106, 144, 107, 145, 102, 140, 103, 141, 98, 136, 99, 137, 94, 132, 95, 133, 90, 128, 91, 129, 86, 124, 87, 125, 82, 120, 83, 121, 78, 116, 81, 119)
	L = (1, 80)(2, 77)(3, 84)(4, 85)(5, 79)(6, 78)(7, 81)(8, 88)(9, 89)(10, 82)(11, 83)(12, 92)(13, 93)(14, 86)(15, 87)(16, 96)(17, 97)(18, 90)(19, 91)(20, 100)(21, 101)(22, 94)(23, 95)(24, 104)(25, 105)(26, 98)(27, 99)(28, 108)(29, 109)(30, 102)(31, 103)(32, 112)(33, 113)(34, 106)(35, 107)(36, 114)(37, 110)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.522
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y1^19, 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 * Y1^-1 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 10, 48, 14, 52, 18, 56, 22, 60, 26, 64, 30, 68, 34, 72, 36, 74, 32, 70, 28, 66, 24, 62, 20, 58, 16, 54, 12, 50, 8, 46, 4, 42)(3, 41, 7, 45, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 38, 76, 37, 75, 33, 71, 29, 67, 25, 63, 21, 59, 17, 55, 13, 51, 9, 47, 5, 43)(77, 115, 79, 117, 78, 116, 83, 121, 82, 120, 87, 125, 86, 124, 91, 129, 90, 128, 95, 133, 94, 132, 99, 137, 98, 136, 103, 141, 102, 140, 107, 145, 106, 144, 111, 149, 110, 148, 114, 152, 112, 150, 113, 151, 108, 146, 109, 147, 104, 142, 105, 143, 100, 138, 101, 139, 96, 134, 97, 135, 92, 130, 93, 131, 88, 126, 89, 127, 84, 122, 85, 123, 80, 118, 81, 119)
	L = (1, 80)(2, 77)(3, 81)(4, 84)(5, 85)(6, 78)(7, 79)(8, 88)(9, 89)(10, 82)(11, 83)(12, 92)(13, 93)(14, 86)(15, 87)(16, 96)(17, 97)(18, 90)(19, 91)(20, 100)(21, 101)(22, 94)(23, 95)(24, 104)(25, 105)(26, 98)(27, 99)(28, 108)(29, 109)(30, 102)(31, 103)(32, 112)(33, 113)(34, 106)(35, 107)(36, 110)(37, 114)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.525
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2), Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-4, Y1^-7 * Y2^-2, Y1^2 * Y2 * Y3^-1 * Y2 * Y3^-4, Y2^-1 * Y3^-2 * Y2^-2 * Y3^-3 * Y2^-1, Y1 * Y2^-1 * Y3^-2 * Y1 * Y3^-1 * Y2^-3, Y1^19, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 33, 71, 24, 62, 13, 51, 18, 56, 30, 68, 35, 73, 20, 58, 9, 47, 17, 55, 29, 67, 37, 75, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 27, 65, 38, 76, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 34, 72, 19, 57, 31, 69, 25, 63, 32, 70, 36, 74, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 109, 147, 99, 137, 87, 125, 97, 135, 111, 149, 104, 142, 90, 128, 103, 141, 113, 151, 108, 146, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 107, 145, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 110, 148, 102, 140, 114, 152, 98, 136, 112, 150, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 110)(20, 111)(21, 112)(22, 113)(23, 114)(24, 109)(25, 107)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 101)(33, 102)(34, 104)(35, 106)(36, 108)(37, 105)(38, 103)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.521
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y2)^2, Y1 * Y2^-1 * Y3^2 * Y1^-1 * Y2 * Y1 * Y3^-1, Y2^4 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y3^-2, Y1^5 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^2 * Y2^-1 * Y1^2 * Y3^-3 * Y2^-1, Y1 * Y2^4 * Y3^-4, Y3 * Y2^2 * Y3^2 * Y2^2 * Y1 * Y2^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 33, 71, 20, 58, 9, 47, 17, 55, 29, 67, 37, 75, 24, 62, 13, 51, 18, 56, 30, 68, 35, 73, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 27, 65, 38, 76, 25, 63, 32, 70, 19, 57, 31, 69, 36, 74, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 34, 72, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 112, 150, 98, 136, 110, 148, 102, 140, 114, 152, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 108, 146, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 107, 145, 111, 149, 104, 142, 90, 128, 103, 141, 113, 151, 99, 137, 87, 125, 97, 135, 109, 147, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 108)(20, 109)(21, 110)(22, 111)(23, 112)(24, 113)(25, 114)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 101)(33, 102)(34, 104)(35, 106)(36, 107)(37, 105)(38, 103)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.518
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^2 * Y3^-1 * Y2^2, Y1^2 * Y2^-1 * Y1^3 * Y3^-4 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-8, Y2 * Y3 * Y2 * Y3^2 * Y2^2 * Y3^3 * Y2^2 * Y3^2, 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 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 22, 60, 30, 68, 34, 72, 26, 64, 18, 56, 9, 47, 13, 51, 17, 55, 25, 63, 33, 71, 36, 74, 28, 66, 20, 58, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 23, 61, 31, 69, 38, 76, 37, 75, 29, 67, 21, 59, 12, 50, 5, 43, 8, 46, 16, 54, 24, 62, 32, 70, 35, 73, 27, 65, 19, 57, 10, 48)(77, 115, 79, 117, 85, 123, 88, 126, 80, 118, 86, 124, 94, 132, 97, 135, 87, 125, 95, 133, 102, 140, 105, 143, 96, 134, 103, 141, 110, 148, 113, 151, 104, 142, 111, 149, 106, 144, 114, 152, 112, 150, 108, 146, 98, 136, 107, 145, 109, 147, 100, 138, 90, 128, 99, 137, 101, 139, 92, 130, 82, 120, 91, 129, 93, 131, 84, 122, 78, 116, 83, 121, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 94)(10, 95)(11, 96)(12, 97)(13, 85)(14, 82)(15, 83)(16, 84)(17, 89)(18, 102)(19, 103)(20, 104)(21, 105)(22, 90)(23, 91)(24, 92)(25, 93)(26, 110)(27, 111)(28, 112)(29, 113)(30, 98)(31, 99)(32, 100)(33, 101)(34, 106)(35, 108)(36, 109)(37, 114)(38, 107)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.529
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1 * Y2 * Y3 * Y2^-1, Y2^-4 * Y3^-1, Y3^-1 * Y2 * Y1^7 * Y2 * Y3^-1, (Y2^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 22, 60, 30, 68, 37, 75, 29, 67, 21, 59, 13, 51, 9, 47, 17, 55, 25, 63, 33, 71, 35, 73, 27, 65, 19, 57, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 23, 61, 31, 69, 36, 74, 28, 66, 20, 58, 12, 50, 5, 43, 8, 46, 16, 54, 24, 62, 32, 70, 38, 76, 34, 72, 26, 64, 18, 56, 10, 48)(77, 115, 79, 117, 85, 123, 84, 122, 78, 116, 83, 121, 93, 131, 92, 130, 82, 120, 91, 129, 101, 139, 100, 138, 90, 128, 99, 137, 109, 147, 108, 146, 98, 136, 107, 145, 111, 149, 114, 152, 106, 144, 112, 150, 103, 141, 110, 148, 113, 151, 104, 142, 95, 133, 102, 140, 105, 143, 96, 134, 87, 125, 94, 132, 97, 135, 88, 126, 80, 118, 86, 124, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 89)(10, 94)(11, 95)(12, 96)(13, 97)(14, 82)(15, 83)(16, 84)(17, 85)(18, 102)(19, 103)(20, 104)(21, 105)(22, 90)(23, 91)(24, 92)(25, 93)(26, 110)(27, 111)(28, 112)(29, 113)(30, 98)(31, 99)(32, 100)(33, 101)(34, 114)(35, 109)(36, 107)(37, 106)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.526
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y3^-1, Y1 * Y2^-3 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-5, Y2^-1 * Y1^-2 * Y2^-1 * Y1^13, Y2^38, (Y2^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 34, 72, 32, 70, 24, 62, 13, 51, 18, 56, 20, 58, 9, 47, 17, 55, 28, 66, 36, 74, 30, 68, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 27, 65, 35, 73, 31, 69, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 19, 57, 29, 67, 37, 75, 38, 76, 33, 71, 25, 63, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 90, 128, 103, 141, 112, 150, 114, 152, 108, 146, 99, 137, 87, 125, 97, 135, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 105, 143, 102, 140, 111, 149, 106, 144, 109, 147, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 92, 130, 82, 120, 91, 129, 104, 142, 113, 151, 110, 148, 107, 145, 98, 136, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 92)(20, 94)(21, 101)(22, 106)(23, 107)(24, 108)(25, 109)(26, 90)(27, 91)(28, 93)(29, 95)(30, 112)(31, 111)(32, 110)(33, 114)(34, 102)(35, 103)(36, 104)(37, 105)(38, 113)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.516
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3, Y2), (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2, Y2^3 * Y3^-3 * Y2, Y1^-3 * Y3 * Y2^2 * Y1^-4, Y3^8 * Y2 * Y1 * Y2 * Y3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 34, 72, 31, 69, 20, 58, 9, 47, 17, 55, 24, 62, 13, 51, 18, 56, 28, 66, 36, 74, 33, 71, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 25, 63, 29, 67, 37, 75, 38, 76, 30, 68, 19, 57, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 27, 65, 35, 73, 32, 70, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 98, 136, 108, 146, 110, 148, 113, 151, 104, 142, 92, 130, 82, 120, 91, 129, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 106, 144, 109, 147, 111, 149, 102, 140, 105, 143, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 99, 137, 87, 125, 97, 135, 107, 145, 114, 152, 112, 150, 103, 141, 90, 128, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 106)(20, 107)(21, 108)(22, 109)(23, 95)(24, 93)(25, 91)(26, 90)(27, 92)(28, 94)(29, 101)(30, 114)(31, 110)(32, 111)(33, 112)(34, 102)(35, 103)(36, 104)(37, 105)(38, 113)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.519
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y3 * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2^5, Y1^-1 * Y2 * Y3^2 * Y2 * Y3^3, Y2 * Y1^13 * Y2, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 20, 58, 9, 47, 17, 55, 29, 67, 36, 74, 38, 76, 34, 72, 24, 62, 13, 51, 18, 56, 30, 68, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 27, 65, 35, 73, 32, 70, 19, 57, 25, 63, 31, 69, 37, 75, 33, 71, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 108, 146, 110, 148, 99, 137, 87, 125, 97, 135, 102, 140, 111, 149, 114, 152, 109, 147, 98, 136, 104, 142, 90, 128, 103, 141, 112, 150, 113, 151, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 107, 145, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 108)(20, 102)(21, 104)(22, 106)(23, 109)(24, 110)(25, 95)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 101)(32, 111)(33, 113)(34, 114)(35, 103)(36, 105)(37, 107)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.528
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3 * Y2^4, Y3^-1 * Y2 * Y1^3 * Y3^-2 * Y2, Y3^-3 * Y2^-1 * Y1 * Y2^-1 * Y3^-3 * Y2^-2, Y1^13 * Y2^-2, Y2^-1 * 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^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 39, 2, 40, 6, 44, 14, 52, 26, 64, 24, 62, 13, 51, 18, 56, 30, 68, 36, 74, 38, 76, 32, 70, 20, 58, 9, 47, 17, 55, 29, 67, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 27, 65, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 35, 73, 34, 72, 25, 63, 19, 57, 31, 69, 37, 75, 33, 71, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 107, 145, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 113, 151, 112, 150, 104, 142, 90, 128, 103, 141, 98, 136, 109, 147, 114, 152, 111, 149, 102, 140, 99, 137, 87, 125, 97, 135, 108, 146, 110, 148, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 101)(20, 108)(21, 109)(22, 105)(23, 103)(24, 102)(25, 110)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 114)(33, 113)(34, 111)(35, 104)(36, 106)(37, 107)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.531
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y2 * Y1^2 * Y2, 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 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 13, 51, 15, 53, 20, 58, 25, 63, 27, 65, 32, 70, 37, 75, 34, 72, 36, 74, 29, 67, 22, 60, 24, 62, 17, 55, 9, 47, 11, 49, 4, 42)(3, 41, 7, 45, 12, 50, 5, 43, 8, 46, 14, 52, 19, 57, 21, 59, 26, 64, 31, 69, 33, 71, 38, 76, 35, 73, 28, 66, 30, 68, 23, 61, 16, 54, 18, 56, 10, 48)(77, 115, 79, 117, 85, 123, 92, 130, 98, 136, 104, 142, 110, 148, 109, 147, 103, 141, 97, 135, 91, 129, 84, 122, 78, 116, 83, 121, 87, 125, 94, 132, 100, 138, 106, 144, 112, 150, 114, 152, 108, 146, 102, 140, 96, 134, 90, 128, 82, 120, 88, 126, 80, 118, 86, 124, 93, 131, 99, 137, 105, 143, 111, 149, 113, 151, 107, 145, 101, 139, 95, 133, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 93)(10, 94)(11, 85)(12, 83)(13, 82)(14, 84)(15, 89)(16, 99)(17, 100)(18, 92)(19, 90)(20, 91)(21, 95)(22, 105)(23, 106)(24, 98)(25, 96)(26, 97)(27, 101)(28, 111)(29, 112)(30, 104)(31, 102)(32, 103)(33, 107)(34, 113)(35, 114)(36, 110)(37, 108)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.523
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * Y2^11, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 9, 47, 15, 53, 20, 58, 22, 60, 27, 65, 32, 70, 34, 72, 37, 75, 35, 73, 30, 68, 25, 63, 23, 61, 18, 56, 13, 51, 11, 49, 4, 42)(3, 41, 7, 45, 14, 52, 16, 54, 21, 59, 26, 64, 28, 66, 33, 71, 38, 76, 36, 74, 31, 69, 29, 67, 24, 62, 19, 57, 17, 55, 12, 50, 5, 43, 8, 46, 10, 48)(77, 115, 79, 117, 85, 123, 92, 130, 98, 136, 104, 142, 110, 148, 112, 150, 106, 144, 100, 138, 94, 132, 88, 126, 80, 118, 86, 124, 82, 120, 90, 128, 96, 134, 102, 140, 108, 146, 114, 152, 111, 149, 105, 143, 99, 137, 93, 131, 87, 125, 84, 122, 78, 116, 83, 121, 91, 129, 97, 135, 103, 141, 109, 147, 113, 151, 107, 145, 101, 139, 95, 133, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 82)(10, 84)(11, 89)(12, 93)(13, 94)(14, 83)(15, 85)(16, 90)(17, 95)(18, 99)(19, 100)(20, 91)(21, 92)(22, 96)(23, 101)(24, 105)(25, 106)(26, 97)(27, 98)(28, 102)(29, 107)(30, 111)(31, 112)(32, 103)(33, 104)(34, 108)(35, 113)(36, 114)(37, 110)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.520
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^-2 * Y2^-1 * Y3^-2 * Y2, Y2 * Y1^2 * Y2 * Y1 * Y3^-2, Y2^8 * Y1, Y2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-1, Y2^3 * Y3 * Y2^3 * Y1^-3, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 24, 62, 13, 51, 18, 56, 27, 65, 36, 74, 30, 68, 35, 73, 38, 76, 32, 70, 20, 58, 9, 47, 17, 55, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 26, 64, 34, 72, 25, 63, 29, 67, 37, 75, 31, 69, 19, 57, 28, 66, 33, 71, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 106, 144, 110, 148, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 107, 145, 112, 150, 102, 140, 90, 128, 99, 137, 87, 125, 97, 135, 108, 146, 113, 151, 103, 141, 92, 130, 82, 120, 91, 129, 98, 136, 109, 147, 114, 152, 105, 143, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 104, 142, 111, 149, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 107)(20, 108)(21, 109)(22, 93)(23, 91)(24, 90)(25, 110)(26, 92)(27, 94)(28, 95)(29, 101)(30, 112)(31, 113)(32, 114)(33, 104)(34, 102)(35, 106)(36, 103)(37, 105)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.524
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y1^-1, Y2), Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2 * Y2, Y1^4 * Y2^-2 * Y3^-1, Y2^-2 * Y1^2 * Y3^-3, Y2^-5 * Y1 * Y2^-3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-4 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y3^-3 * Y2^2 * Y3 * Y2^2, 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 * Y3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 20, 58, 9, 47, 17, 55, 27, 65, 36, 74, 35, 73, 30, 68, 38, 76, 33, 71, 24, 62, 13, 51, 18, 56, 22, 60, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 26, 64, 31, 69, 19, 57, 28, 66, 37, 75, 34, 72, 25, 63, 29, 67, 32, 70, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 106, 144, 105, 143, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 104, 142, 114, 152, 108, 146, 98, 136, 92, 130, 82, 120, 91, 129, 103, 141, 113, 151, 109, 147, 99, 137, 87, 125, 97, 135, 90, 128, 102, 140, 112, 150, 110, 148, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 107, 145, 111, 149, 101, 139, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 98)(12, 99)(13, 100)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 107)(20, 90)(21, 92)(22, 94)(23, 108)(24, 109)(25, 110)(26, 91)(27, 93)(28, 95)(29, 101)(30, 111)(31, 102)(32, 105)(33, 114)(34, 113)(35, 112)(36, 103)(37, 104)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.527
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y3^-2 * Y2^-3 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2^3 * Y1 * Y2^5, Y3^-2 * Y2^2 * Y1^13, Y2^38, 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 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 9, 47, 17, 55, 24, 62, 31, 69, 27, 65, 33, 71, 37, 75, 30, 68, 34, 72, 28, 66, 21, 59, 13, 51, 18, 56, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 23, 61, 19, 57, 25, 63, 32, 70, 38, 76, 35, 73, 36, 74, 29, 67, 22, 60, 26, 64, 20, 58, 12, 50, 5, 43, 8, 46, 16, 54, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 103, 141, 111, 149, 110, 148, 102, 140, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 101, 139, 109, 147, 112, 150, 104, 142, 96, 134, 87, 125, 92, 130, 82, 120, 91, 129, 100, 138, 108, 146, 113, 151, 105, 143, 97, 135, 88, 126, 80, 118, 86, 124, 90, 128, 99, 137, 107, 145, 114, 152, 106, 144, 98, 136, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 90)(10, 92)(11, 94)(12, 96)(13, 97)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 99)(20, 102)(21, 104)(22, 105)(23, 91)(24, 93)(25, 95)(26, 98)(27, 107)(28, 110)(29, 112)(30, 113)(31, 100)(32, 101)(33, 103)(34, 106)(35, 114)(36, 111)(37, 109)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.517
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2, Y1^-1), Y3 * Y2^-2 * Y1^-3, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3 * Y2 * Y1^2 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^3 * Y3 * Y1^-1, Y2^5 * Y3 * Y1^-2 * Y2^3, Y2^-2 * Y1^15, 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 * Y2^-2 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 13, 51, 18, 56, 24, 62, 31, 69, 30, 68, 34, 72, 36, 74, 27, 65, 33, 71, 29, 67, 20, 58, 9, 47, 17, 55, 11, 49, 4, 42)(3, 41, 7, 45, 15, 53, 12, 50, 5, 43, 8, 46, 16, 54, 23, 61, 22, 60, 26, 64, 32, 70, 35, 73, 38, 76, 37, 75, 28, 66, 19, 57, 25, 63, 21, 59, 10, 48)(77, 115, 79, 117, 85, 123, 95, 133, 103, 141, 111, 149, 107, 145, 99, 137, 90, 128, 88, 126, 80, 118, 86, 124, 96, 134, 104, 142, 112, 150, 108, 146, 100, 138, 92, 130, 82, 120, 91, 129, 87, 125, 97, 135, 105, 143, 113, 151, 110, 148, 102, 140, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 101, 139, 109, 147, 114, 152, 106, 144, 98, 136, 89, 127, 81, 119)
	L = (1, 80)(2, 77)(3, 86)(4, 87)(5, 88)(6, 78)(7, 79)(8, 81)(9, 96)(10, 97)(11, 93)(12, 91)(13, 90)(14, 82)(15, 83)(16, 84)(17, 85)(18, 89)(19, 104)(20, 105)(21, 101)(22, 99)(23, 92)(24, 94)(25, 95)(26, 98)(27, 112)(28, 113)(29, 109)(30, 107)(31, 100)(32, 102)(33, 103)(34, 106)(35, 108)(36, 110)(37, 114)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.515
Graph:: bipartite
	v = 3 e = 76 f = 39
	degree seq :: [ 38^2, 76 ]

E18.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^-1 * Y2^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^12, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 12, 50, 18, 56, 24, 62, 30, 68, 36, 74, 33, 71, 27, 65, 21, 59, 15, 53, 9, 47, 3, 41, 7, 45, 13, 51, 19, 57, 25, 63, 31, 69, 37, 75, 35, 73, 29, 67, 23, 61, 17, 55, 11, 49, 5, 43, 8, 46, 14, 52, 20, 58, 26, 64, 32, 70, 38, 76, 34, 72, 28, 66, 22, 60, 16, 54, 10, 48, 4, 42)(77, 115, 79, 117, 84, 122, 78, 116, 83, 121, 90, 128, 82, 120, 89, 127, 96, 134, 88, 126, 95, 133, 102, 140, 94, 132, 101, 139, 108, 146, 100, 138, 107, 145, 114, 152, 106, 144, 113, 151, 110, 148, 112, 150, 111, 149, 104, 142, 109, 147, 105, 143, 98, 136, 103, 141, 99, 137, 92, 130, 97, 135, 93, 131, 86, 124, 91, 129, 87, 125, 80, 118, 85, 123, 81, 119)
	L = (1, 79)(2, 83)(3, 84)(4, 85)(5, 77)(6, 89)(7, 90)(8, 78)(9, 81)(10, 91)(11, 80)(12, 95)(13, 96)(14, 82)(15, 87)(16, 97)(17, 86)(18, 101)(19, 102)(20, 88)(21, 93)(22, 103)(23, 92)(24, 107)(25, 108)(26, 94)(27, 99)(28, 109)(29, 98)(30, 113)(31, 114)(32, 100)(33, 105)(34, 112)(35, 104)(36, 111)(37, 110)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.510
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-2, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^-1 * Y1^-13, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 12, 50, 18, 56, 24, 62, 30, 68, 36, 74, 33, 71, 27, 65, 21, 59, 15, 53, 9, 47, 5, 43, 8, 46, 14, 52, 20, 58, 26, 64, 32, 70, 38, 76, 34, 72, 28, 66, 22, 60, 16, 54, 10, 48, 3, 41, 7, 45, 13, 51, 19, 57, 25, 63, 31, 69, 37, 75, 35, 73, 29, 67, 23, 61, 17, 55, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 80, 118, 86, 124, 91, 129, 87, 125, 92, 130, 97, 135, 93, 131, 98, 136, 103, 141, 99, 137, 104, 142, 109, 147, 105, 143, 110, 148, 112, 150, 111, 149, 114, 152, 106, 144, 113, 151, 108, 146, 100, 138, 107, 145, 102, 140, 94, 132, 101, 139, 96, 134, 88, 126, 95, 133, 90, 128, 82, 120, 89, 127, 84, 122, 78, 116, 83, 121, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 89)(7, 81)(8, 78)(9, 80)(10, 91)(11, 92)(12, 95)(13, 84)(14, 82)(15, 87)(16, 97)(17, 98)(18, 101)(19, 90)(20, 88)(21, 93)(22, 103)(23, 104)(24, 107)(25, 96)(26, 94)(27, 99)(28, 109)(29, 110)(30, 113)(31, 102)(32, 100)(33, 105)(34, 112)(35, 114)(36, 111)(37, 108)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.514
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^4 * Y1^-1 * Y2, Y2 * Y1 * Y2^2 * Y1^-2 * Y2^2, Y1^-1 * Y2 * Y1^-3 * Y2 * Y1^-4, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 24, 62, 34, 72, 29, 67, 19, 57, 9, 47, 17, 55, 27, 65, 37, 75, 32, 70, 22, 60, 12, 50, 5, 43, 8, 46, 16, 54, 26, 64, 36, 74, 30, 68, 20, 58, 10, 48, 3, 41, 7, 45, 15, 53, 25, 63, 35, 73, 33, 71, 23, 61, 13, 51, 18, 56, 28, 66, 38, 76, 31, 69, 21, 59, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 104, 142, 92, 130, 82, 120, 91, 129, 103, 141, 114, 152, 102, 140, 90, 128, 101, 139, 113, 151, 107, 145, 112, 150, 100, 138, 111, 149, 108, 146, 97, 135, 106, 144, 110, 148, 109, 147, 98, 136, 87, 125, 96, 134, 105, 143, 99, 137, 88, 126, 80, 118, 86, 124, 95, 133, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 94)(10, 95)(11, 96)(12, 80)(13, 81)(14, 101)(15, 103)(16, 82)(17, 104)(18, 84)(19, 89)(20, 105)(21, 106)(22, 87)(23, 88)(24, 111)(25, 113)(26, 90)(27, 114)(28, 92)(29, 99)(30, 110)(31, 112)(32, 97)(33, 98)(34, 109)(35, 108)(36, 100)(37, 107)(38, 102)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.509
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^4 * Y1 * Y2, Y2^-5 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-6 * Y2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 24, 62, 34, 72, 29, 67, 19, 57, 13, 51, 18, 56, 28, 66, 38, 76, 31, 69, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 25, 63, 35, 73, 33, 71, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 26, 64, 36, 74, 30, 68, 20, 58, 9, 47, 17, 55, 27, 65, 37, 75, 32, 70, 22, 60, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 95, 133, 88, 126, 80, 118, 86, 124, 96, 134, 105, 143, 99, 137, 87, 125, 97, 135, 106, 144, 110, 148, 109, 147, 98, 136, 107, 145, 112, 150, 100, 138, 111, 149, 108, 146, 114, 152, 102, 140, 90, 128, 101, 139, 113, 151, 104, 142, 92, 130, 82, 120, 91, 129, 103, 141, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 101)(15, 103)(16, 82)(17, 89)(18, 84)(19, 88)(20, 105)(21, 106)(22, 107)(23, 87)(24, 111)(25, 113)(26, 90)(27, 94)(28, 92)(29, 99)(30, 110)(31, 112)(32, 114)(33, 98)(34, 109)(35, 108)(36, 100)(37, 104)(38, 102)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.511
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1), Y2^-3 * Y1^-5, Y2^6 * Y1^-1 * Y2, Y1^-3 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 25, 63, 32, 70, 38, 76, 35, 73, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 24, 62, 13, 51, 18, 56, 30, 68, 37, 75, 34, 72, 20, 58, 9, 47, 17, 55, 29, 67, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 36, 74, 33, 71, 19, 57, 31, 69, 22, 60, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 95, 133, 108, 146, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 107, 145, 114, 152, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 98, 136, 111, 149, 113, 151, 104, 142, 90, 128, 103, 141, 99, 137, 87, 125, 97, 135, 110, 148, 112, 150, 102, 140, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 109, 147, 101, 139, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 107)(18, 84)(19, 108)(20, 109)(21, 110)(22, 111)(23, 87)(24, 88)(25, 89)(26, 100)(27, 99)(28, 90)(29, 98)(30, 92)(31, 114)(32, 94)(33, 101)(34, 112)(35, 113)(36, 102)(37, 104)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.513
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^2 * Y1^-1 * Y2 * Y1^-4, Y2^-5 * Y1^-1 * Y2^-2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 19, 57, 31, 69, 38, 76, 34, 72, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 20, 58, 9, 47, 17, 55, 29, 67, 37, 75, 35, 73, 24, 62, 13, 51, 18, 56, 30, 68, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 36, 74, 33, 71, 25, 63, 32, 70, 22, 60, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 95, 133, 109, 147, 100, 138, 88, 126, 80, 118, 86, 124, 96, 134, 102, 140, 112, 150, 111, 149, 99, 137, 87, 125, 97, 135, 104, 142, 90, 128, 103, 141, 113, 151, 110, 148, 98, 136, 106, 144, 92, 130, 82, 120, 91, 129, 105, 143, 114, 152, 108, 146, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 107, 145, 101, 139, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 107)(18, 84)(19, 109)(20, 102)(21, 104)(22, 106)(23, 87)(24, 88)(25, 89)(26, 112)(27, 113)(28, 90)(29, 114)(30, 92)(31, 101)(32, 94)(33, 100)(34, 98)(35, 99)(36, 111)(37, 110)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.508
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2, Y1), Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^8 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 13, 51, 18, 56, 24, 62, 31, 69, 30, 68, 34, 72, 38, 76, 36, 74, 28, 66, 19, 57, 25, 63, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 12, 50, 5, 43, 8, 46, 16, 54, 23, 61, 22, 60, 26, 64, 32, 70, 37, 75, 35, 73, 27, 65, 33, 71, 29, 67, 20, 58, 9, 47, 17, 55, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 95, 133, 103, 141, 110, 148, 102, 140, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 101, 139, 109, 147, 114, 152, 108, 146, 100, 138, 92, 130, 82, 120, 91, 129, 87, 125, 97, 135, 105, 143, 112, 150, 113, 151, 107, 145, 99, 137, 90, 128, 88, 126, 80, 118, 86, 124, 96, 134, 104, 142, 111, 149, 106, 144, 98, 136, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 88)(15, 87)(16, 82)(17, 101)(18, 84)(19, 103)(20, 104)(21, 105)(22, 89)(23, 90)(24, 92)(25, 109)(26, 94)(27, 110)(28, 111)(29, 112)(30, 98)(31, 99)(32, 100)(33, 114)(34, 102)(35, 106)(36, 113)(37, 107)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.507
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-2 * Y1^-1 * Y2^-7, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 9, 47, 17, 55, 24, 62, 31, 69, 27, 65, 33, 71, 38, 76, 36, 74, 29, 67, 22, 60, 26, 64, 20, 58, 12, 50, 5, 43, 8, 46, 16, 54, 10, 48, 3, 41, 7, 45, 15, 53, 23, 61, 19, 57, 25, 63, 32, 70, 37, 75, 35, 73, 30, 68, 34, 72, 28, 66, 21, 59, 13, 51, 18, 56, 11, 49, 4, 42)(77, 115, 79, 117, 85, 123, 95, 133, 103, 141, 111, 149, 105, 143, 97, 135, 88, 126, 80, 118, 86, 124, 90, 128, 99, 137, 107, 145, 113, 151, 112, 150, 104, 142, 96, 134, 87, 125, 92, 130, 82, 120, 91, 129, 100, 138, 108, 146, 114, 152, 110, 148, 102, 140, 94, 132, 84, 122, 78, 116, 83, 121, 93, 131, 101, 139, 109, 147, 106, 144, 98, 136, 89, 127, 81, 119)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 90)(11, 92)(12, 80)(13, 81)(14, 99)(15, 100)(16, 82)(17, 101)(18, 84)(19, 103)(20, 87)(21, 88)(22, 89)(23, 107)(24, 108)(25, 109)(26, 94)(27, 111)(28, 96)(29, 97)(30, 98)(31, 113)(32, 114)(33, 106)(34, 102)(35, 105)(36, 104)(37, 112)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.512
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^17, Y3^-2 * Y2^7 * Y3^-10, (Y3 * Y2^-1)^38, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 114, 152, 109, 147, 106, 144, 101, 139, 98, 136, 93, 131, 90, 128, 85, 123, 80, 118)(79, 117, 83, 121, 81, 119, 84, 122, 88, 126, 92, 130, 96, 134, 100, 138, 104, 142, 108, 146, 112, 150, 113, 151, 110, 148, 105, 143, 102, 140, 97, 135, 94, 132, 89, 127, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 81)(7, 80)(8, 78)(9, 89)(10, 90)(11, 84)(12, 82)(13, 93)(14, 94)(15, 88)(16, 87)(17, 97)(18, 98)(19, 92)(20, 91)(21, 101)(22, 102)(23, 96)(24, 95)(25, 105)(26, 106)(27, 100)(28, 99)(29, 109)(30, 110)(31, 104)(32, 103)(33, 113)(34, 114)(35, 108)(36, 107)(37, 111)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.505
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y3 * Y2 * Y3^5, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^4, 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, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 102, 140, 96, 134, 85, 123, 93, 131, 105, 143, 112, 150, 114, 152, 110, 148, 100, 138, 89, 127, 94, 132, 106, 144, 98, 136, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 103, 141, 111, 149, 108, 146, 95, 133, 101, 139, 107, 145, 113, 151, 109, 147, 99, 137, 88, 126, 81, 119, 84, 122, 92, 130, 104, 142, 97, 135, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 101)(18, 84)(19, 100)(20, 108)(21, 102)(22, 104)(23, 87)(24, 88)(25, 89)(26, 111)(27, 112)(28, 90)(29, 107)(30, 92)(31, 94)(32, 110)(33, 98)(34, 99)(35, 114)(36, 113)(37, 106)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.504
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (R * Y2)^2, Y3^-6 * Y2, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2^3 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 102, 140, 100, 138, 89, 127, 94, 132, 106, 144, 112, 150, 114, 152, 108, 146, 96, 134, 85, 123, 93, 131, 105, 143, 98, 136, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 103, 141, 99, 137, 88, 126, 81, 119, 84, 122, 92, 130, 104, 142, 111, 149, 110, 148, 101, 139, 95, 133, 107, 145, 113, 151, 109, 147, 97, 135, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 107)(18, 84)(19, 94)(20, 101)(21, 108)(22, 109)(23, 87)(24, 88)(25, 89)(26, 99)(27, 98)(28, 90)(29, 113)(30, 92)(31, 106)(32, 110)(33, 114)(34, 100)(35, 102)(36, 104)(37, 112)(38, 111)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.501
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3^-4 * Y2, Y2^3 * Y3 * Y2 * Y3 * Y2^5, 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^-3 * Y3, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 98, 136, 106, 144, 113, 151, 105, 143, 97, 135, 89, 127, 85, 123, 93, 131, 101, 139, 109, 147, 111, 149, 103, 141, 95, 133, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 99, 137, 107, 145, 112, 150, 104, 142, 96, 134, 88, 126, 81, 119, 84, 122, 92, 130, 100, 138, 108, 146, 114, 152, 110, 148, 102, 140, 94, 132, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 84)(10, 89)(11, 94)(12, 80)(13, 81)(14, 99)(15, 101)(16, 82)(17, 92)(18, 97)(19, 102)(20, 87)(21, 88)(22, 107)(23, 109)(24, 90)(25, 100)(26, 105)(27, 110)(28, 95)(29, 96)(30, 112)(31, 111)(32, 98)(33, 108)(34, 113)(35, 114)(36, 103)(37, 104)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.499
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), Y3^4 * Y2, Y2^3 * Y3^-1 * Y2 * Y3^-1 * Y2^5, (Y2^-1 * Y3)^38, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 98, 136, 106, 144, 110, 148, 102, 140, 94, 132, 85, 123, 89, 127, 93, 131, 101, 139, 109, 147, 112, 150, 104, 142, 96, 134, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 99, 137, 107, 145, 114, 152, 113, 151, 105, 143, 97, 135, 88, 126, 81, 119, 84, 122, 92, 130, 100, 138, 108, 146, 111, 149, 103, 141, 95, 133, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 89)(8, 78)(9, 88)(10, 94)(11, 95)(12, 80)(13, 81)(14, 99)(15, 93)(16, 82)(17, 84)(18, 97)(19, 102)(20, 103)(21, 87)(22, 107)(23, 101)(24, 90)(25, 92)(26, 105)(27, 110)(28, 111)(29, 96)(30, 114)(31, 109)(32, 98)(33, 100)(34, 113)(35, 106)(36, 108)(37, 104)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.502
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2^4 * Y3, Y3 * Y2 * Y3^7, Y3^-3 * Y2^3 * Y3^-3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 100, 138, 89, 127, 94, 132, 103, 141, 112, 150, 106, 144, 111, 149, 114, 152, 108, 146, 96, 134, 85, 123, 93, 131, 98, 136, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 99, 137, 88, 126, 81, 119, 84, 122, 92, 130, 102, 140, 110, 148, 101, 139, 105, 143, 113, 151, 107, 145, 95, 133, 104, 142, 109, 147, 97, 135, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 99)(15, 98)(16, 82)(17, 104)(18, 84)(19, 106)(20, 107)(21, 108)(22, 109)(23, 87)(24, 88)(25, 89)(26, 90)(27, 92)(28, 111)(29, 94)(30, 110)(31, 112)(32, 113)(33, 114)(34, 100)(35, 101)(36, 102)(37, 103)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.506
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y3^-2 * Y2^5, Y3^-7 * Y2 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-4 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 90, 128, 96, 134, 85, 123, 93, 131, 103, 141, 112, 150, 111, 149, 106, 144, 114, 152, 109, 147, 100, 138, 89, 127, 94, 132, 98, 136, 87, 125, 80, 118)(79, 117, 83, 121, 91, 129, 102, 140, 107, 145, 95, 133, 104, 142, 113, 151, 110, 148, 101, 139, 105, 143, 108, 146, 99, 137, 88, 126, 81, 119, 84, 122, 92, 130, 97, 135, 86, 124)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 102)(15, 103)(16, 82)(17, 104)(18, 84)(19, 106)(20, 107)(21, 90)(22, 92)(23, 87)(24, 88)(25, 89)(26, 112)(27, 113)(28, 114)(29, 94)(30, 105)(31, 111)(32, 98)(33, 99)(34, 100)(35, 101)(36, 110)(37, 109)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.503
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^19, (Y3^-1 * Y1^-1)^38, (Y3 * Y2^-1)^38 ]
Map::
	R = (1, 39)(2, 40)(3, 41)(4, 42)(5, 43)(6, 44)(7, 45)(8, 46)(9, 47)(10, 48)(11, 49)(12, 50)(13, 51)(14, 52)(15, 53)(16, 54)(17, 55)(18, 56)(19, 57)(20, 58)(21, 59)(22, 60)(23, 61)(24, 62)(25, 63)(26, 64)(27, 65)(28, 66)(29, 67)(30, 68)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 74)(37, 75)(38, 76)(77, 115, 78, 116, 82, 120, 86, 124, 90, 128, 94, 132, 98, 136, 102, 140, 106, 144, 110, 148, 113, 151, 109, 147, 105, 143, 101, 139, 97, 135, 93, 131, 89, 127, 85, 123, 80, 118)(79, 117, 81, 119, 83, 121, 87, 125, 91, 129, 95, 133, 99, 137, 103, 141, 107, 145, 111, 149, 114, 152, 112, 150, 108, 146, 104, 142, 100, 138, 96, 134, 92, 130, 88, 126, 84, 122)
	L = (1, 79)(2, 81)(3, 80)(4, 84)(5, 77)(6, 83)(7, 78)(8, 85)(9, 88)(10, 87)(11, 82)(12, 89)(13, 92)(14, 91)(15, 86)(16, 93)(17, 96)(18, 95)(19, 90)(20, 97)(21, 100)(22, 99)(23, 94)(24, 101)(25, 104)(26, 103)(27, 98)(28, 105)(29, 108)(30, 107)(31, 102)(32, 109)(33, 112)(34, 111)(35, 106)(36, 113)(37, 114)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.500
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-18, Y3^19, (Y3 * Y2^-1)^19, 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 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 11, 49, 15, 53, 19, 57, 23, 61, 27, 65, 31, 69, 35, 73, 38, 76, 34, 72, 30, 68, 26, 64, 22, 60, 18, 56, 14, 52, 10, 48, 5, 43, 8, 46, 3, 41, 7, 45, 12, 50, 16, 54, 20, 58, 24, 62, 28, 66, 32, 70, 36, 74, 37, 75, 33, 71, 29, 67, 25, 63, 21, 59, 17, 55, 13, 51, 9, 47, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 82)(4, 84)(5, 77)(6, 88)(7, 87)(8, 78)(9, 81)(10, 80)(11, 92)(12, 91)(13, 86)(14, 85)(15, 96)(16, 95)(17, 90)(18, 89)(19, 100)(20, 99)(21, 94)(22, 93)(23, 104)(24, 103)(25, 98)(26, 97)(27, 108)(28, 107)(29, 102)(30, 101)(31, 112)(32, 111)(33, 106)(34, 105)(35, 113)(36, 114)(37, 110)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.498
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^4, Y1 * Y3^-1 * Y1 * Y3^-5, (Y3 * Y2^-1)^19, 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 * Y1^3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 26, 64, 33, 71, 24, 62, 13, 51, 18, 56, 28, 66, 35, 73, 38, 76, 34, 72, 25, 63, 30, 68, 19, 57, 29, 67, 36, 74, 37, 75, 31, 69, 20, 58, 9, 47, 17, 55, 27, 65, 32, 70, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 98)(15, 103)(16, 82)(17, 105)(18, 84)(19, 104)(20, 106)(21, 107)(22, 108)(23, 87)(24, 88)(25, 89)(26, 90)(27, 112)(28, 92)(29, 111)(30, 94)(31, 101)(32, 113)(33, 99)(34, 100)(35, 102)(36, 114)(37, 110)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.489
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^5, Y3 * Y1 * Y3^5 * Y1, (Y3 * Y2^-1)^19, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 39, 2, 40, 6, 44, 14, 52, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 26, 64, 33, 71, 20, 58, 9, 47, 17, 55, 27, 65, 35, 73, 38, 76, 32, 70, 19, 57, 29, 67, 25, 63, 30, 68, 36, 74, 37, 75, 31, 69, 24, 62, 13, 51, 18, 56, 28, 66, 34, 72, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 102)(15, 103)(16, 82)(17, 105)(18, 84)(19, 107)(20, 108)(21, 109)(22, 90)(23, 87)(24, 88)(25, 89)(26, 111)(27, 101)(28, 92)(29, 100)(30, 94)(31, 99)(32, 113)(33, 114)(34, 98)(35, 106)(36, 104)(37, 110)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.497
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^4 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y3 * Y1 * Y3^8, (Y3 * Y2^-1)^19, (Y1^-1 * Y3^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 10, 48, 3, 41, 7, 45, 14, 52, 18, 56, 9, 47, 15, 53, 22, 60, 26, 64, 17, 55, 23, 61, 30, 68, 34, 72, 25, 63, 31, 69, 37, 75, 38, 76, 33, 71, 36, 74, 29, 67, 32, 70, 35, 73, 28, 66, 21, 59, 24, 62, 27, 65, 20, 58, 13, 51, 16, 54, 19, 57, 12, 50, 5, 43, 8, 46, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 90)(7, 91)(8, 78)(9, 93)(10, 94)(11, 82)(12, 80)(13, 81)(14, 98)(15, 99)(16, 84)(17, 101)(18, 102)(19, 87)(20, 88)(21, 89)(22, 106)(23, 107)(24, 92)(25, 109)(26, 110)(27, 95)(28, 96)(29, 97)(30, 113)(31, 112)(32, 100)(33, 111)(34, 114)(35, 103)(36, 104)(37, 105)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.486
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), Y1 * Y3 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-4 * Y1 * Y3^-4, (Y3 * Y2^-1)^19, 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, 39, 2, 40, 6, 44, 12, 50, 5, 43, 8, 46, 14, 52, 20, 58, 13, 51, 16, 54, 22, 60, 28, 66, 21, 59, 24, 62, 30, 68, 36, 74, 29, 67, 32, 70, 33, 71, 38, 76, 37, 75, 34, 72, 25, 63, 31, 69, 35, 73, 26, 64, 17, 55, 23, 61, 27, 65, 18, 56, 9, 47, 15, 53, 19, 57, 10, 48, 3, 41, 7, 45, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 87)(7, 91)(8, 78)(9, 93)(10, 94)(11, 95)(12, 80)(13, 81)(14, 82)(15, 99)(16, 84)(17, 101)(18, 102)(19, 103)(20, 88)(21, 89)(22, 90)(23, 107)(24, 92)(25, 109)(26, 110)(27, 111)(28, 96)(29, 97)(30, 98)(31, 114)(32, 100)(33, 106)(34, 108)(35, 113)(36, 104)(37, 105)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.490
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^3 * Y1, Y1^3 * Y3 * Y1^5, Y1^2 * Y3^-2 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1, (Y3 * Y2^-1)^19, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 35, 73, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 36, 74, 31, 69, 19, 57, 24, 62, 13, 51, 18, 56, 29, 67, 37, 75, 32, 70, 20, 58, 9, 47, 17, 55, 25, 63, 30, 68, 38, 76, 33, 71, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 34, 72, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 101)(16, 82)(17, 100)(18, 84)(19, 99)(20, 107)(21, 108)(22, 109)(23, 87)(24, 88)(25, 89)(26, 110)(27, 106)(28, 90)(29, 92)(30, 94)(31, 111)(32, 112)(33, 113)(34, 114)(35, 98)(36, 102)(37, 104)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.494
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-2, Y1^2 * Y3^-1 * Y1^6, (Y3 * Y2^-1)^19, 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 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 31, 69, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 36, 74, 35, 73, 25, 63, 20, 58, 9, 47, 17, 55, 29, 67, 37, 75, 34, 72, 24, 62, 13, 51, 18, 56, 19, 57, 30, 68, 38, 76, 33, 71, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 32, 70, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 106)(18, 84)(19, 92)(20, 94)(21, 101)(22, 107)(23, 87)(24, 88)(25, 89)(26, 112)(27, 113)(28, 90)(29, 114)(30, 104)(31, 111)(32, 102)(33, 98)(34, 99)(35, 100)(36, 110)(37, 109)(38, 108)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.485
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^19, (Y3^9 * Y1^-1)^2, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 5, 43, 6, 44, 9, 47, 10, 48, 13, 51, 14, 52, 17, 55, 18, 56, 21, 59, 22, 60, 25, 63, 26, 64, 29, 67, 30, 68, 33, 71, 34, 72, 37, 75, 38, 76, 35, 73, 36, 74, 31, 69, 32, 70, 27, 65, 28, 66, 23, 61, 24, 62, 19, 57, 20, 58, 15, 53, 16, 54, 11, 49, 12, 50, 7, 45, 8, 46, 3, 41, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 80)(3, 83)(4, 84)(5, 77)(6, 78)(7, 87)(8, 88)(9, 81)(10, 82)(11, 91)(12, 92)(13, 85)(14, 86)(15, 95)(16, 96)(17, 89)(18, 90)(19, 99)(20, 100)(21, 93)(22, 94)(23, 103)(24, 104)(25, 97)(26, 98)(27, 107)(28, 108)(29, 101)(30, 102)(31, 111)(32, 112)(33, 105)(34, 106)(35, 113)(36, 114)(37, 109)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.483
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^19, (Y3 * Y2^-1)^19, (Y3^-1 * Y1^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 3, 41, 6, 44, 7, 45, 10, 48, 11, 49, 14, 52, 15, 53, 18, 56, 19, 57, 22, 60, 23, 61, 26, 64, 27, 65, 30, 68, 31, 69, 34, 72, 35, 73, 38, 76, 37, 75, 36, 74, 33, 71, 32, 70, 29, 67, 28, 66, 25, 63, 24, 62, 21, 59, 20, 58, 17, 55, 16, 54, 13, 51, 12, 50, 9, 47, 8, 46, 5, 43, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 82)(3, 83)(4, 78)(5, 77)(6, 86)(7, 87)(8, 80)(9, 81)(10, 90)(11, 91)(12, 84)(13, 85)(14, 94)(15, 95)(16, 88)(17, 89)(18, 98)(19, 99)(20, 92)(21, 93)(22, 102)(23, 103)(24, 96)(25, 97)(26, 106)(27, 107)(28, 100)(29, 101)(30, 110)(31, 111)(32, 104)(33, 105)(34, 114)(35, 113)(36, 108)(37, 109)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.493
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^-1 * Y1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1^8, (Y3 * Y2^-1)^19, (Y1^-1 * Y3^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 20, 58, 26, 64, 32, 70, 36, 74, 30, 68, 24, 62, 18, 56, 12, 50, 5, 43, 8, 46, 9, 47, 16, 54, 22, 60, 28, 66, 34, 72, 38, 76, 37, 75, 31, 69, 25, 63, 19, 57, 13, 51, 10, 48, 3, 41, 7, 45, 15, 53, 21, 59, 27, 65, 33, 71, 35, 73, 29, 67, 23, 61, 17, 55, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 92)(8, 78)(9, 82)(10, 84)(11, 89)(12, 80)(13, 81)(14, 97)(15, 98)(16, 90)(17, 95)(18, 87)(19, 88)(20, 103)(21, 104)(22, 96)(23, 101)(24, 93)(25, 94)(26, 109)(27, 110)(28, 102)(29, 107)(30, 99)(31, 100)(32, 111)(33, 114)(34, 108)(35, 113)(36, 105)(37, 106)(38, 112)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.495
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), Y3 * Y1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, Y1^-12 * Y3, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 20, 58, 26, 64, 32, 70, 36, 74, 30, 68, 24, 62, 18, 56, 10, 48, 3, 41, 7, 45, 13, 51, 16, 54, 22, 60, 28, 66, 34, 72, 38, 76, 35, 73, 29, 67, 23, 61, 17, 55, 9, 47, 12, 50, 5, 43, 8, 46, 15, 53, 21, 59, 27, 65, 33, 71, 37, 75, 31, 69, 25, 63, 19, 57, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 89)(7, 88)(8, 78)(9, 87)(10, 93)(11, 94)(12, 80)(13, 81)(14, 92)(15, 82)(16, 84)(17, 95)(18, 99)(19, 100)(20, 98)(21, 90)(22, 91)(23, 101)(24, 105)(25, 106)(26, 104)(27, 96)(28, 97)(29, 107)(30, 111)(31, 112)(32, 110)(33, 102)(34, 103)(35, 113)(36, 114)(37, 108)(38, 109)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.484
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-4, Y3 * Y1 * Y3^3 * Y1^3 * Y3, Y3^-3 * Y1 * Y3^-4 * Y1, (Y3 * Y2^-1)^19, (Y1^-1 * Y3^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 20, 58, 9, 47, 17, 55, 29, 67, 37, 75, 25, 63, 32, 70, 33, 71, 35, 73, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 38, 76, 34, 72, 19, 57, 31, 69, 36, 74, 24, 62, 13, 51, 18, 56, 30, 68, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 107)(18, 84)(19, 109)(20, 110)(21, 102)(22, 104)(23, 87)(24, 88)(25, 89)(26, 114)(27, 113)(28, 90)(29, 112)(30, 92)(31, 111)(32, 94)(33, 106)(34, 108)(35, 98)(36, 99)(37, 100)(38, 101)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.488
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^-2 * Y1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3, Y1^-2 * Y3^5 * Y1^-2, (Y3 * Y2^-1)^19, Y1^67 * Y3^-2 * Y1^3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 26, 64, 24, 62, 13, 51, 18, 56, 30, 68, 34, 72, 19, 57, 31, 69, 38, 76, 36, 74, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 27, 65, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 28, 66, 33, 71, 37, 75, 25, 63, 32, 70, 35, 73, 20, 58, 9, 47, 17, 55, 29, 67, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 103)(15, 105)(16, 82)(17, 107)(18, 84)(19, 109)(20, 110)(21, 111)(22, 112)(23, 87)(24, 88)(25, 89)(26, 99)(27, 98)(28, 90)(29, 114)(30, 92)(31, 113)(32, 94)(33, 102)(34, 104)(35, 106)(36, 108)(37, 100)(38, 101)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.496
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|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 * Y1^-3, Y3^-1 * Y1^-1 * Y3^-7 * Y1^-1, (Y3 * Y2^-1)^19, Y3^4 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^5 * Y1^-1 * Y3^4 * Y1^-3 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 19, 57, 28, 66, 35, 73, 38, 76, 31, 69, 24, 62, 13, 51, 18, 56, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 26, 64, 29, 67, 36, 74, 33, 71, 30, 68, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 20, 58, 9, 47, 17, 55, 27, 65, 34, 72, 37, 75, 32, 70, 25, 63, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 102)(15, 103)(16, 82)(17, 104)(18, 84)(19, 105)(20, 90)(21, 92)(22, 94)(23, 87)(24, 88)(25, 89)(26, 110)(27, 111)(28, 112)(29, 113)(30, 98)(31, 99)(32, 100)(33, 101)(34, 114)(35, 109)(36, 108)(37, 107)(38, 106)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.491
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-3, Y1 * Y3^-1 * Y1^3 * Y3^4, Y3^-8 * Y1^2, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 25, 63, 28, 66, 35, 73, 38, 76, 31, 69, 20, 58, 9, 47, 17, 55, 23, 61, 12, 50, 5, 43, 8, 46, 16, 54, 26, 64, 33, 71, 36, 74, 29, 67, 32, 70, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 24, 62, 13, 51, 18, 56, 27, 65, 34, 72, 37, 75, 30, 68, 19, 57, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 100)(15, 99)(16, 82)(17, 98)(18, 84)(19, 105)(20, 106)(21, 107)(22, 108)(23, 87)(24, 88)(25, 89)(26, 90)(27, 92)(28, 94)(29, 111)(30, 112)(31, 113)(32, 114)(33, 101)(34, 102)(35, 103)(36, 104)(37, 109)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.487
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y1^-2 * Y3^-4, (R * Y2 * Y3^-1)^2, Y1^8 * Y3^-3, (Y3 * Y2^-1)^19 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 23, 61, 31, 69, 35, 73, 27, 65, 19, 57, 12, 50, 5, 43, 8, 46, 16, 54, 25, 63, 33, 71, 36, 74, 28, 66, 20, 58, 9, 47, 17, 55, 13, 51, 18, 56, 26, 64, 34, 72, 37, 75, 29, 67, 21, 59, 10, 48, 3, 41, 7, 45, 15, 53, 24, 62, 32, 70, 38, 76, 30, 68, 22, 60, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 95)(10, 96)(11, 97)(12, 80)(13, 81)(14, 100)(15, 89)(16, 82)(17, 88)(18, 84)(19, 87)(20, 103)(21, 104)(22, 105)(23, 108)(24, 94)(25, 90)(26, 92)(27, 98)(28, 111)(29, 112)(30, 113)(31, 114)(32, 102)(33, 99)(34, 101)(35, 106)(36, 107)(37, 109)(38, 110)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.482
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {19, 38, 38})
Quotient :: dipole
Aut^+ = C38 (small group id <38, 2>)
Aut   = D76 (small group id <76, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^2 * Y3^3 * Y1^6, (Y3 * Y2^-1)^19, (Y1^-1 * Y3^-1)^38 ]
Map::
	R = (1, 39, 2, 40, 6, 44, 14, 52, 23, 61, 31, 69, 35, 73, 27, 65, 19, 57, 10, 48, 3, 41, 7, 45, 15, 53, 24, 62, 32, 70, 38, 76, 30, 68, 22, 60, 13, 51, 18, 56, 9, 47, 17, 55, 26, 64, 34, 72, 37, 75, 29, 67, 21, 59, 12, 50, 5, 43, 8, 46, 16, 54, 25, 63, 33, 71, 36, 74, 28, 66, 20, 58, 11, 49, 4, 42)(77, 115)(78, 116)(79, 117)(80, 118)(81, 119)(82, 120)(83, 121)(84, 122)(85, 123)(86, 124)(87, 125)(88, 126)(89, 127)(90, 128)(91, 129)(92, 130)(93, 131)(94, 132)(95, 133)(96, 134)(97, 135)(98, 136)(99, 137)(100, 138)(101, 139)(102, 140)(103, 141)(104, 142)(105, 143)(106, 144)(107, 145)(108, 146)(109, 147)(110, 148)(111, 149)(112, 150)(113, 151)(114, 152)
	L = (1, 79)(2, 83)(3, 85)(4, 86)(5, 77)(6, 91)(7, 93)(8, 78)(9, 92)(10, 94)(11, 95)(12, 80)(13, 81)(14, 100)(15, 102)(16, 82)(17, 101)(18, 84)(19, 89)(20, 103)(21, 87)(22, 88)(23, 108)(24, 110)(25, 90)(26, 109)(27, 98)(28, 111)(29, 96)(30, 97)(31, 114)(32, 113)(33, 99)(34, 112)(35, 106)(36, 107)(37, 104)(38, 105)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 38, 76 ), ( 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76, 38, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.492
Graph:: bipartite
	v = 39 e = 76 f = 3
	degree seq :: [ 2^38, 76 ]

E18.532 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^3 * T1^-3, T2^12 * T1, T1^10 * T2^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 39, 32, 25, 21, 12, 4, 10, 16, 6, 15, 24, 28, 35, 38, 31, 27, 20, 11, 18, 8, 2, 7, 17, 22, 29, 36, 37, 33, 26, 19, 13, 5)(40, 41, 45, 53, 61, 67, 73, 76, 70, 64, 58, 50, 43)(42, 46, 54, 62, 68, 74, 78, 72, 66, 60, 52, 57, 49)(44, 47, 55, 48, 56, 63, 69, 75, 77, 71, 65, 59, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.550
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.533 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-2 * T2^2 * T1^-4, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 26, 38, 36, 22, 34, 28, 14, 27, 39, 35, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(40, 41, 45, 53, 65, 71, 58, 64, 70, 74, 61, 50, 43)(42, 46, 54, 66, 77, 76, 63, 52, 57, 69, 73, 60, 49)(44, 47, 55, 67, 72, 59, 48, 56, 68, 78, 75, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.557
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-6 * T1, T2 * T1^-2 * T2^4 * T1 * T2, T2 * T1 * T2 * T1^5 * T2, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 34, 39, 28, 14, 27, 35, 22, 33, 38, 26, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(40, 41, 45, 53, 65, 76, 64, 58, 70, 73, 61, 50, 43)(42, 46, 54, 66, 75, 63, 52, 57, 69, 78, 72, 60, 49)(44, 47, 55, 67, 77, 71, 59, 48, 56, 68, 74, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.548
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.535 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 4, 10, 15, 11, 16, 21, 17, 22, 27, 23, 28, 33, 29, 34, 38, 35, 39, 37, 30, 36, 32, 24, 31, 26, 18, 25, 20, 12, 19, 14, 6, 13, 8, 2, 7, 5)(40, 41, 45, 51, 57, 63, 69, 74, 68, 62, 56, 50, 43)(42, 46, 52, 58, 64, 70, 75, 78, 73, 67, 61, 55, 49)(44, 47, 53, 59, 65, 71, 76, 77, 72, 66, 60, 54, 48)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.554
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.536 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), 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 ]
Map:: non-degenerate
	R = (1, 3, 8, 2, 7, 14, 6, 13, 20, 12, 19, 26, 18, 25, 32, 24, 31, 37, 30, 36, 39, 34, 38, 35, 28, 33, 29, 22, 27, 23, 16, 21, 17, 10, 15, 11, 4, 9, 5)(40, 41, 45, 51, 57, 63, 69, 73, 67, 61, 55, 49, 43)(42, 46, 52, 58, 64, 70, 75, 77, 72, 66, 60, 54, 48)(44, 47, 53, 59, 65, 71, 76, 78, 74, 68, 62, 56, 50)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.558
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.537 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-13, T1^13, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 38, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8, 2, 7, 16, 14, 21, 28, 26, 33, 39, 35, 37, 30, 23, 25, 18, 11, 13, 5)(40, 41, 45, 53, 59, 65, 71, 74, 68, 62, 56, 50, 43)(42, 46, 54, 60, 66, 72, 77, 76, 70, 64, 58, 52, 49)(44, 47, 48, 55, 61, 67, 73, 78, 75, 69, 63, 57, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.555
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.538 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^13, T1^-13, T1^13, T1^-5 * T2^2 * T1^-6 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 39, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 38, 32, 34, 27, 20, 22, 15, 6, 13, 5)(40, 41, 45, 53, 59, 65, 71, 76, 70, 64, 58, 50, 43)(42, 46, 52, 55, 61, 67, 73, 78, 75, 69, 63, 57, 49)(44, 47, 54, 60, 66, 72, 77, 74, 68, 62, 56, 48, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.551
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.539 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T1^-2 * T2^2 * T1^-1 * T2^4, 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, 28, 14, 27, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 39, 38, 26, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 22, 36, 37, 25, 13, 5)(40, 41, 45, 53, 65, 64, 71, 73, 58, 70, 61, 50, 43)(42, 46, 54, 66, 63, 52, 57, 69, 72, 78, 75, 60, 49)(44, 47, 55, 67, 77, 76, 74, 59, 48, 56, 68, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.553
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.540 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T2^4 * T1 * T2 * T1^2 * T2, 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 34, 22, 30, 16, 6, 15, 29, 36, 24, 12, 4, 10, 20, 26, 38, 39, 32, 18, 8, 2, 7, 17, 31, 35, 23, 11, 21, 28, 14, 27, 37, 25, 13, 5)(40, 41, 45, 53, 65, 58, 70, 75, 64, 71, 61, 50, 43)(42, 46, 54, 66, 77, 72, 74, 63, 52, 57, 69, 60, 49)(44, 47, 55, 67, 59, 48, 56, 68, 76, 78, 73, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.556
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.541 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-1 * T2^2, T2^9 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 37, 32, 24, 12, 4, 10, 20, 14, 26, 34, 39, 31, 23, 11, 21, 16, 6, 15, 27, 35, 38, 30, 22, 18, 8, 2, 7, 17, 28, 36, 33, 25, 13, 5)(40, 41, 45, 53, 58, 67, 74, 78, 71, 64, 61, 50, 43)(42, 46, 54, 65, 68, 75, 77, 70, 63, 52, 57, 60, 49)(44, 47, 55, 59, 48, 56, 66, 73, 76, 72, 69, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.549
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.542 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1 * T2 * T1^3 * T2, T2^-9 * T1, T1 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 36, 28, 18, 8, 2, 7, 17, 22, 32, 39, 35, 27, 16, 6, 15, 23, 11, 21, 31, 38, 34, 26, 14, 24, 12, 4, 10, 20, 30, 37, 33, 25, 13, 5)(40, 41, 45, 53, 64, 67, 74, 77, 69, 58, 61, 50, 43)(42, 46, 54, 63, 52, 57, 66, 73, 76, 68, 71, 60, 49)(44, 47, 55, 65, 72, 75, 78, 70, 59, 48, 56, 62, 51)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 78^13 ), ( 78^39 ) }
Outer automorphisms :: reflexible
Dual of E18.552
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 39 f = 1
	degree seq :: [ 13^3, 39 ]

E18.543 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T2)^2, (F * T1)^2, T1 * T2^19, (T2^-1 * T1^-1)^13 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 36, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 37, 33, 29, 25, 21, 17, 13, 9, 5)(40, 41, 42, 45, 46, 49, 50, 53, 54, 57, 58, 61, 62, 65, 66, 69, 70, 73, 74, 77, 78, 76, 75, 72, 71, 68, 67, 64, 63, 60, 59, 56, 55, 52, 51, 48, 47, 44, 43)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.562
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.544 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1^-2 * T2^-1 * T1^-2, T2^-9 * T1^-1 * T2^-1, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 36, 28, 20, 12, 4, 10, 18, 26, 34, 38, 30, 22, 14, 6, 11, 19, 27, 35, 39, 32, 24, 16, 8, 2, 7, 15, 23, 31, 37, 29, 21, 13, 5)(40, 41, 45, 51, 44, 47, 53, 59, 52, 55, 61, 67, 60, 63, 69, 75, 68, 71, 77, 72, 76, 78, 73, 64, 70, 74, 65, 56, 62, 66, 57, 48, 54, 58, 49, 42, 46, 50, 43)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.561
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.545 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2^7 * T1^-1 * T2, (T1^-1 * T2^-1)^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 28, 18, 8, 2, 7, 17, 27, 37, 36, 26, 16, 6, 15, 25, 35, 38, 31, 21, 11, 14, 24, 34, 39, 32, 22, 12, 4, 10, 20, 30, 33, 23, 13, 5)(40, 41, 45, 53, 49, 42, 46, 54, 63, 59, 48, 56, 64, 73, 69, 58, 66, 74, 78, 72, 68, 76, 77, 71, 62, 67, 75, 70, 61, 52, 57, 65, 60, 51, 44, 47, 55, 50, 43)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.563
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.546 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-7 * T2^-1, T2^-3 * T1^3 * T2^-2 * T1, T2 * T1 * T2^2 * T1 * T2^3 * T1, T2^11 * T1^-1, T2^39 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 26, 22, 36, 32, 18, 8, 2, 7, 17, 31, 37, 23, 11, 21, 35, 30, 16, 6, 15, 29, 38, 24, 12, 4, 10, 20, 34, 28, 14, 27, 39, 25, 13, 5)(40, 41, 45, 53, 65, 62, 51, 44, 47, 55, 67, 72, 76, 63, 52, 57, 69, 73, 58, 70, 77, 64, 71, 74, 59, 48, 56, 68, 78, 75, 60, 49, 42, 46, 54, 66, 61, 50, 43)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.559
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.547 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {13, 39, 39})
Quotient :: edge
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1^-1, T2), T1^-1 * T2^-1 * T1^-1 * T2^-4, T1^5 * T2^-1 * T1 * T2^-1 * T1, T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 38, 39, 34, 28, 14, 27, 30, 18, 8, 2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 26, 36, 37, 29, 16, 6, 15, 25, 13, 5)(40, 41, 45, 53, 65, 71, 59, 48, 56, 64, 69, 76, 78, 74, 62, 51, 44, 47, 55, 67, 72, 60, 49, 42, 46, 54, 66, 75, 77, 70, 58, 63, 52, 57, 68, 73, 61, 50, 43)
	L = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.560
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.548 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2^3 * T1^-3, T2^12 * T1, T1^10 * T2^3 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 14, 53, 23, 62, 30, 69, 34, 73, 39, 78, 32, 71, 25, 64, 21, 60, 12, 51, 4, 43, 10, 49, 16, 55, 6, 45, 15, 54, 24, 63, 28, 67, 35, 74, 38, 77, 31, 70, 27, 66, 20, 59, 11, 50, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 22, 61, 29, 68, 36, 75, 37, 76, 33, 72, 26, 65, 19, 58, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 61)(15, 62)(16, 48)(17, 63)(18, 49)(19, 50)(20, 51)(21, 52)(22, 67)(23, 68)(24, 69)(25, 58)(26, 59)(27, 60)(28, 73)(29, 74)(30, 75)(31, 64)(32, 65)(33, 66)(34, 76)(35, 78)(36, 77)(37, 70)(38, 71)(39, 72)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.534
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.549 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^5, T2 * T1^-2 * T2^2 * T1^-4, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 32, 71, 37, 76, 23, 62, 11, 50, 21, 60, 33, 72, 26, 65, 38, 77, 36, 75, 22, 61, 34, 73, 28, 67, 14, 53, 27, 66, 39, 78, 35, 74, 30, 69, 16, 55, 6, 45, 15, 54, 29, 68, 31, 70, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 64)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 70)(26, 71)(27, 77)(28, 72)(29, 78)(30, 73)(31, 74)(32, 58)(33, 59)(34, 60)(35, 61)(36, 62)(37, 63)(38, 76)(39, 75)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.541
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.550 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-6 * T1, T2 * T1^-2 * T2^4 * T1 * T2, T2 * T1 * T2 * T1^5 * T2, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 31, 70, 30, 69, 16, 55, 6, 45, 15, 54, 29, 68, 34, 73, 39, 78, 28, 67, 14, 53, 27, 66, 35, 74, 22, 61, 33, 72, 38, 77, 26, 65, 36, 75, 23, 62, 11, 50, 21, 60, 32, 71, 37, 76, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 58)(26, 76)(27, 75)(28, 77)(29, 74)(30, 78)(31, 73)(32, 59)(33, 60)(34, 61)(35, 62)(36, 63)(37, 64)(38, 71)(39, 72)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.532
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.551 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T2)^2, (F * T1)^2, T1^13 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 4, 43, 10, 49, 15, 54, 11, 50, 16, 55, 21, 60, 17, 56, 22, 61, 27, 66, 23, 62, 28, 67, 33, 72, 29, 68, 34, 73, 38, 77, 35, 74, 39, 78, 37, 76, 30, 69, 36, 75, 32, 71, 24, 63, 31, 70, 26, 65, 18, 57, 25, 64, 20, 59, 12, 51, 19, 58, 14, 53, 6, 45, 13, 52, 8, 47, 2, 41, 7, 46, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 51)(7, 52)(8, 53)(9, 44)(10, 42)(11, 43)(12, 57)(13, 58)(14, 59)(15, 48)(16, 49)(17, 50)(18, 63)(19, 64)(20, 65)(21, 54)(22, 55)(23, 56)(24, 69)(25, 70)(26, 71)(27, 60)(28, 61)(29, 62)(30, 74)(31, 75)(32, 76)(33, 66)(34, 67)(35, 68)(36, 78)(37, 77)(38, 72)(39, 73)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.538
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.552 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3 * T1^-1, (F * T2)^2, (F * T1)^2, (T2, T1^-1), 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 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 8, 47, 2, 41, 7, 46, 14, 53, 6, 45, 13, 52, 20, 59, 12, 51, 19, 58, 26, 65, 18, 57, 25, 64, 32, 71, 24, 63, 31, 70, 37, 76, 30, 69, 36, 75, 39, 78, 34, 73, 38, 77, 35, 74, 28, 67, 33, 72, 29, 68, 22, 61, 27, 66, 23, 62, 16, 55, 21, 60, 17, 56, 10, 49, 15, 54, 11, 50, 4, 43, 9, 48, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 51)(7, 52)(8, 53)(9, 42)(10, 43)(11, 44)(12, 57)(13, 58)(14, 59)(15, 48)(16, 49)(17, 50)(18, 63)(19, 64)(20, 65)(21, 54)(22, 55)(23, 56)(24, 69)(25, 70)(26, 71)(27, 60)(28, 61)(29, 62)(30, 73)(31, 75)(32, 76)(33, 66)(34, 67)(35, 68)(36, 77)(37, 78)(38, 72)(39, 74)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.542
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.553 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^-13, T1^13, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 6, 45, 15, 54, 22, 61, 20, 59, 27, 66, 34, 73, 32, 71, 38, 77, 36, 75, 29, 68, 31, 70, 24, 63, 17, 56, 19, 58, 12, 51, 4, 43, 10, 49, 8, 47, 2, 41, 7, 46, 16, 55, 14, 53, 21, 60, 28, 67, 26, 65, 33, 72, 39, 78, 35, 74, 37, 76, 30, 69, 23, 62, 25, 64, 18, 57, 11, 50, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 48)(9, 55)(10, 42)(11, 43)(12, 44)(13, 49)(14, 59)(15, 60)(16, 61)(17, 50)(18, 51)(19, 52)(20, 65)(21, 66)(22, 67)(23, 56)(24, 57)(25, 58)(26, 71)(27, 72)(28, 73)(29, 62)(30, 63)(31, 64)(32, 74)(33, 77)(34, 78)(35, 68)(36, 69)(37, 70)(38, 76)(39, 75)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.539
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.554 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^13, T1^-13, T1^13, T1^-5 * T2^2 * T1^-6 * T2 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 11, 50, 18, 57, 23, 62, 25, 64, 30, 69, 35, 74, 37, 76, 39, 78, 33, 72, 26, 65, 28, 67, 21, 60, 14, 53, 16, 55, 8, 47, 2, 41, 7, 46, 12, 51, 4, 43, 10, 49, 17, 56, 19, 58, 24, 63, 29, 68, 31, 70, 36, 75, 38, 77, 32, 71, 34, 73, 27, 66, 20, 59, 22, 61, 15, 54, 6, 45, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 52)(8, 54)(9, 51)(10, 42)(11, 43)(12, 44)(13, 55)(14, 59)(15, 60)(16, 61)(17, 48)(18, 49)(19, 50)(20, 65)(21, 66)(22, 67)(23, 56)(24, 57)(25, 58)(26, 71)(27, 72)(28, 73)(29, 62)(30, 63)(31, 64)(32, 76)(33, 77)(34, 78)(35, 68)(36, 69)(37, 70)(38, 74)(39, 75)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.535
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.555 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-3 * T2^-1 * T1^-1 * T2^-2 * T1^-1, T1^-2 * T2^2 * T1^-1 * T2^4, 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, 40, 3, 42, 9, 48, 19, 58, 33, 72, 28, 67, 14, 53, 27, 66, 23, 62, 11, 50, 21, 60, 35, 74, 32, 71, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 31, 70, 39, 78, 38, 77, 26, 65, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 34, 73, 30, 69, 16, 55, 6, 45, 15, 54, 29, 68, 22, 61, 36, 75, 37, 76, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 71)(26, 64)(27, 63)(28, 77)(29, 62)(30, 72)(31, 61)(32, 73)(33, 78)(34, 58)(35, 59)(36, 60)(37, 74)(38, 76)(39, 75)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.537
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.556 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, T2^4 * T1 * T2 * T1^2 * T2, 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 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 33, 72, 34, 73, 22, 61, 30, 69, 16, 55, 6, 45, 15, 54, 29, 68, 36, 75, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 26, 65, 38, 77, 39, 78, 32, 71, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 31, 70, 35, 74, 23, 62, 11, 50, 21, 60, 28, 67, 14, 53, 27, 66, 37, 76, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 71)(26, 58)(27, 77)(28, 59)(29, 76)(30, 60)(31, 75)(32, 61)(33, 74)(34, 62)(35, 63)(36, 64)(37, 78)(38, 72)(39, 73)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.540
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.557 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-3 * T2 * T1^-1 * T2^2, T2^9 * 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 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 29, 68, 37, 76, 32, 71, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 14, 53, 26, 65, 34, 73, 39, 78, 31, 70, 23, 62, 11, 50, 21, 60, 16, 55, 6, 45, 15, 54, 27, 66, 35, 74, 38, 77, 30, 69, 22, 61, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 28, 67, 36, 75, 33, 72, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 58)(15, 65)(16, 59)(17, 66)(18, 60)(19, 67)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 61)(26, 68)(27, 73)(28, 74)(29, 75)(30, 62)(31, 63)(32, 64)(33, 69)(34, 76)(35, 78)(36, 77)(37, 72)(38, 70)(39, 71)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.533
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.558 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T2 * T1 * T2 * T1^3 * T2, T2^-9 * T1, T1 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3 * T1 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 29, 68, 36, 75, 28, 67, 18, 57, 8, 47, 2, 41, 7, 46, 17, 56, 22, 61, 32, 71, 39, 78, 35, 74, 27, 66, 16, 55, 6, 45, 15, 54, 23, 62, 11, 50, 21, 60, 31, 70, 38, 77, 34, 73, 26, 65, 14, 53, 24, 63, 12, 51, 4, 43, 10, 49, 20, 59, 30, 69, 37, 76, 33, 72, 25, 64, 13, 52, 5, 44)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 64)(15, 63)(16, 65)(17, 62)(18, 66)(19, 61)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 67)(26, 72)(27, 73)(28, 74)(29, 71)(30, 58)(31, 59)(32, 60)(33, 75)(34, 76)(35, 77)(36, 78)(37, 68)(38, 69)(39, 70)
	local type(s) :: { ( 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39, 13, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.536
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 39 f = 4
	degree seq :: [ 78 ]

E18.559 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^3 * T2^-3, T2^-1 * T1^-12, T2^13, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 14, 53, 23, 62, 30, 69, 34, 73, 37, 76, 33, 72, 26, 65, 19, 58, 13, 52, 5, 44)(2, 41, 7, 46, 17, 56, 22, 61, 29, 68, 36, 75, 38, 77, 31, 70, 27, 66, 20, 59, 11, 50, 18, 57, 8, 47)(4, 43, 10, 49, 16, 55, 6, 45, 15, 54, 24, 63, 28, 67, 35, 74, 39, 78, 32, 71, 25, 64, 21, 60, 12, 51)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 61)(15, 62)(16, 48)(17, 63)(18, 49)(19, 50)(20, 51)(21, 52)(22, 67)(23, 68)(24, 69)(25, 58)(26, 59)(27, 60)(28, 73)(29, 74)(30, 75)(31, 64)(32, 65)(33, 66)(34, 77)(35, 76)(36, 78)(37, 70)(38, 71)(39, 72)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.546
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.560 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-2 * T2^-4 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 33, 72, 22, 61, 36, 75, 28, 67, 14, 53, 27, 66, 25, 64, 13, 52, 5, 44)(2, 41, 7, 46, 17, 56, 31, 70, 23, 62, 11, 50, 21, 60, 35, 74, 26, 65, 38, 77, 32, 71, 18, 57, 8, 47)(4, 43, 10, 49, 20, 59, 34, 73, 39, 78, 37, 76, 30, 69, 16, 55, 6, 45, 15, 54, 29, 68, 24, 63, 12, 51)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 71)(26, 73)(27, 77)(28, 74)(29, 64)(30, 75)(31, 63)(32, 76)(33, 62)(34, 58)(35, 59)(36, 60)(37, 61)(38, 78)(39, 72)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.547
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.561 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^13, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 15, 54, 21, 60, 27, 66, 33, 72, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 5, 44)(2, 41, 7, 46, 13, 52, 19, 58, 25, 64, 31, 70, 37, 76, 38, 77, 32, 71, 26, 65, 20, 59, 14, 53, 8, 47)(4, 43, 6, 45, 12, 51, 18, 57, 24, 63, 30, 69, 36, 75, 39, 78, 34, 73, 28, 67, 22, 61, 16, 55, 10, 49)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 42)(7, 51)(8, 43)(9, 52)(10, 44)(11, 53)(12, 48)(13, 57)(14, 49)(15, 58)(16, 50)(17, 59)(18, 54)(19, 63)(20, 55)(21, 64)(22, 56)(23, 65)(24, 60)(25, 69)(26, 61)(27, 70)(28, 62)(29, 71)(30, 66)(31, 75)(32, 67)(33, 76)(34, 68)(35, 77)(36, 72)(37, 78)(38, 73)(39, 74)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.544
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.562 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^13 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 15, 54, 21, 60, 27, 66, 33, 72, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 5, 44)(2, 41, 7, 46, 13, 52, 19, 58, 25, 64, 31, 70, 37, 76, 38, 77, 32, 71, 26, 65, 20, 59, 14, 53, 8, 47)(4, 43, 10, 49, 16, 55, 22, 61, 28, 67, 34, 73, 39, 78, 36, 75, 30, 69, 24, 63, 18, 57, 12, 51, 6, 45)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 44)(7, 43)(8, 51)(9, 52)(10, 42)(11, 53)(12, 50)(13, 49)(14, 57)(15, 58)(16, 48)(17, 59)(18, 56)(19, 55)(20, 63)(21, 64)(22, 54)(23, 65)(24, 62)(25, 61)(26, 69)(27, 70)(28, 60)(29, 71)(30, 68)(31, 67)(32, 75)(33, 76)(34, 66)(35, 77)(36, 74)(37, 73)(38, 78)(39, 72)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.543
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.563 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {13, 39, 39})
Quotient :: loop
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^-1 * T1 * T2^-3 * T1, T1^9 * T2, (T1^-1 * T2^-1)^39 ]
Map:: non-degenerate
	R = (1, 40, 3, 42, 9, 48, 19, 58, 14, 53, 27, 66, 36, 75, 38, 77, 31, 70, 22, 61, 25, 64, 13, 52, 5, 44)(2, 41, 7, 46, 17, 56, 29, 68, 26, 65, 35, 74, 39, 78, 32, 71, 23, 62, 11, 50, 21, 60, 18, 57, 8, 47)(4, 43, 10, 49, 20, 59, 16, 55, 6, 45, 15, 54, 28, 67, 37, 76, 34, 73, 30, 69, 33, 72, 24, 63, 12, 51)
	L = (1, 41)(2, 45)(3, 46)(4, 40)(5, 47)(6, 53)(7, 54)(8, 55)(9, 56)(10, 42)(11, 43)(12, 44)(13, 57)(14, 65)(15, 66)(16, 58)(17, 67)(18, 59)(19, 68)(20, 48)(21, 49)(22, 50)(23, 51)(24, 52)(25, 60)(26, 73)(27, 74)(28, 75)(29, 76)(30, 61)(31, 62)(32, 63)(33, 64)(34, 70)(35, 69)(36, 78)(37, 77)(38, 71)(39, 72)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.545
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y1)^2, Y1^-1 * Y2 * Y3 * Y2^2 * Y1^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^3 * Y2 * Y1^2 * Y3^-1 * Y2^2 * Y3^-4, Y1^13, Y2^39, 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 22, 61, 28, 67, 34, 73, 37, 76, 31, 70, 25, 64, 19, 58, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 23, 62, 29, 68, 35, 74, 39, 78, 33, 72, 27, 66, 21, 60, 13, 52, 18, 57, 10, 49)(5, 44, 8, 47, 16, 55, 9, 48, 17, 56, 24, 63, 30, 69, 36, 75, 38, 77, 32, 71, 26, 65, 20, 59, 12, 51)(79, 118, 81, 120, 87, 126, 92, 131, 101, 140, 108, 147, 112, 151, 117, 156, 110, 149, 103, 142, 99, 138, 90, 129, 82, 121, 88, 127, 94, 133, 84, 123, 93, 132, 102, 141, 106, 145, 113, 152, 116, 155, 109, 148, 105, 144, 98, 137, 89, 128, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 100, 139, 107, 146, 114, 153, 115, 154, 111, 150, 104, 143, 97, 136, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 94)(10, 96)(11, 97)(12, 98)(13, 99)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 103)(20, 104)(21, 105)(22, 92)(23, 93)(24, 95)(25, 109)(26, 110)(27, 111)(28, 100)(29, 101)(30, 102)(31, 115)(32, 116)(33, 117)(34, 106)(35, 107)(36, 108)(37, 112)(38, 114)(39, 113)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.587
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2^2 * Y3 * Y1^-1 * Y2^-2 * Y3^-2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-3, Y3^2 * Y2 * Y3 * Y2^2 * Y3 * Y1^-1, Y2 * Y1 * Y2^5 * Y1 * Y3^-1, Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1, 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 19, 58, 31, 70, 36, 75, 25, 64, 32, 71, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 27, 66, 38, 77, 33, 72, 35, 74, 24, 63, 13, 52, 18, 57, 30, 69, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 28, 67, 20, 59, 9, 48, 17, 56, 29, 68, 37, 76, 39, 78, 34, 73, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 111, 150, 112, 151, 100, 139, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 114, 153, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 104, 143, 116, 155, 117, 156, 110, 149, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 109, 148, 113, 152, 101, 140, 89, 128, 99, 138, 106, 145, 92, 131, 105, 144, 115, 154, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 104)(20, 106)(21, 108)(22, 110)(23, 112)(24, 113)(25, 114)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 103)(33, 116)(34, 117)(35, 111)(36, 109)(37, 107)(38, 105)(39, 115)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.593
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3^2 * Y2 * Y1^2 * Y2^-1, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-3, Y3 * Y2^-1 * Y3^2 * Y2^-2 * Y1^-2, Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-3, Y1^13, Y2^39, Y1^2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 25, 64, 32, 71, 34, 73, 19, 58, 31, 70, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 27, 66, 24, 63, 13, 52, 18, 57, 30, 69, 33, 72, 39, 78, 36, 75, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 28, 67, 38, 77, 37, 76, 35, 74, 20, 59, 9, 48, 17, 56, 29, 68, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 111, 150, 106, 145, 92, 131, 105, 144, 101, 140, 89, 128, 99, 138, 113, 152, 110, 149, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 109, 148, 117, 156, 116, 155, 104, 143, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 112, 151, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 100, 139, 114, 153, 115, 154, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 112)(20, 113)(21, 114)(22, 109)(23, 107)(24, 105)(25, 104)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 103)(33, 108)(34, 110)(35, 115)(36, 117)(37, 116)(38, 106)(39, 111)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.590
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 12, 51, 18, 57, 24, 63, 30, 69, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 4, 43)(3, 42, 7, 46, 13, 52, 19, 58, 25, 64, 31, 70, 36, 75, 39, 78, 34, 73, 28, 67, 22, 61, 16, 55, 10, 49)(5, 44, 8, 47, 14, 53, 20, 59, 26, 65, 32, 71, 37, 76, 38, 77, 33, 72, 27, 66, 21, 60, 15, 54, 9, 48)(79, 118, 81, 120, 87, 126, 82, 121, 88, 127, 93, 132, 89, 128, 94, 133, 99, 138, 95, 134, 100, 139, 105, 144, 101, 140, 106, 145, 111, 150, 107, 146, 112, 151, 116, 155, 113, 152, 117, 156, 115, 154, 108, 147, 114, 153, 110, 149, 102, 141, 109, 148, 104, 143, 96, 135, 103, 142, 98, 137, 90, 129, 97, 136, 92, 131, 84, 123, 91, 130, 86, 125, 80, 119, 85, 124, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 87)(6, 80)(7, 81)(8, 83)(9, 93)(10, 94)(11, 95)(12, 84)(13, 85)(14, 86)(15, 99)(16, 100)(17, 101)(18, 90)(19, 91)(20, 92)(21, 105)(22, 106)(23, 107)(24, 96)(25, 97)(26, 98)(27, 111)(28, 112)(29, 113)(30, 102)(31, 103)(32, 104)(33, 116)(34, 117)(35, 108)(36, 109)(37, 110)(38, 115)(39, 114)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.591
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y2^-3 * Y3^-1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^13, Y1^13, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 12, 51, 18, 57, 24, 63, 30, 69, 34, 73, 28, 67, 22, 61, 16, 55, 10, 49, 4, 43)(3, 42, 7, 46, 13, 52, 19, 58, 25, 64, 31, 70, 36, 75, 38, 77, 33, 72, 27, 66, 21, 60, 15, 54, 9, 48)(5, 44, 8, 47, 14, 53, 20, 59, 26, 65, 32, 71, 37, 76, 39, 78, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50)(79, 118, 81, 120, 86, 125, 80, 119, 85, 124, 92, 131, 84, 123, 91, 130, 98, 137, 90, 129, 97, 136, 104, 143, 96, 135, 103, 142, 110, 149, 102, 141, 109, 148, 115, 154, 108, 147, 114, 153, 117, 156, 112, 151, 116, 155, 113, 152, 106, 145, 111, 150, 107, 146, 100, 139, 105, 144, 101, 140, 94, 133, 99, 138, 95, 134, 88, 127, 93, 132, 89, 128, 82, 121, 87, 126, 83, 122)
	L = (1, 82)(2, 79)(3, 87)(4, 88)(5, 89)(6, 80)(7, 81)(8, 83)(9, 93)(10, 94)(11, 95)(12, 84)(13, 85)(14, 86)(15, 99)(16, 100)(17, 101)(18, 90)(19, 91)(20, 92)(21, 105)(22, 106)(23, 107)(24, 96)(25, 97)(26, 98)(27, 111)(28, 112)(29, 113)(30, 102)(31, 103)(32, 104)(33, 116)(34, 108)(35, 117)(36, 109)(37, 110)(38, 114)(39, 115)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.595
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y2^2 * Y1 * Y2 * Y1^3, Y2^-1 * Y1 * Y2^-8, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-2 * 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 25, 64, 28, 67, 35, 74, 38, 77, 30, 69, 19, 58, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 24, 63, 13, 52, 18, 57, 27, 66, 34, 73, 37, 76, 29, 68, 32, 71, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 26, 65, 33, 72, 36, 75, 39, 78, 31, 70, 20, 59, 9, 48, 17, 56, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 107, 146, 114, 153, 106, 145, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 100, 139, 110, 149, 117, 156, 113, 152, 105, 144, 94, 133, 84, 123, 93, 132, 101, 140, 89, 128, 99, 138, 109, 148, 116, 155, 112, 151, 104, 143, 92, 131, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 108, 147, 115, 154, 111, 150, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 108)(20, 109)(21, 110)(22, 97)(23, 95)(24, 93)(25, 92)(26, 94)(27, 96)(28, 103)(29, 115)(30, 116)(31, 117)(32, 107)(33, 104)(34, 105)(35, 106)(36, 111)(37, 112)(38, 113)(39, 114)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.589
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^-1 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2^9 * 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 19, 58, 28, 67, 35, 74, 39, 78, 32, 71, 25, 64, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 26, 65, 29, 68, 36, 75, 38, 77, 31, 70, 24, 63, 13, 52, 18, 57, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 20, 59, 9, 48, 17, 56, 27, 66, 34, 73, 37, 76, 33, 72, 30, 69, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 107, 146, 115, 154, 110, 149, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 92, 131, 104, 143, 112, 151, 117, 156, 109, 148, 101, 140, 89, 128, 99, 138, 94, 133, 84, 123, 93, 132, 105, 144, 113, 152, 116, 155, 108, 147, 100, 139, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 106, 145, 114, 153, 111, 150, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 92)(20, 94)(21, 96)(22, 103)(23, 108)(24, 109)(25, 110)(26, 93)(27, 95)(28, 97)(29, 104)(30, 111)(31, 116)(32, 117)(33, 115)(34, 105)(35, 106)(36, 107)(37, 112)(38, 114)(39, 113)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.586
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-3 * Y1^2, Y1^13, 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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 20, 59, 26, 65, 32, 71, 35, 74, 29, 68, 23, 62, 17, 56, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 21, 60, 27, 66, 33, 72, 38, 77, 37, 76, 31, 70, 25, 64, 19, 58, 13, 52, 10, 49)(5, 44, 8, 47, 9, 48, 16, 55, 22, 61, 28, 67, 34, 73, 39, 78, 36, 75, 30, 69, 24, 63, 18, 57, 12, 51)(79, 118, 81, 120, 87, 126, 84, 123, 93, 132, 100, 139, 98, 137, 105, 144, 112, 151, 110, 149, 116, 155, 114, 153, 107, 146, 109, 148, 102, 141, 95, 134, 97, 136, 90, 129, 82, 121, 88, 127, 86, 125, 80, 119, 85, 124, 94, 133, 92, 131, 99, 138, 106, 145, 104, 143, 111, 150, 117, 156, 113, 152, 115, 154, 108, 147, 101, 140, 103, 142, 96, 135, 89, 128, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 86)(10, 91)(11, 95)(12, 96)(13, 97)(14, 84)(15, 85)(16, 87)(17, 101)(18, 102)(19, 103)(20, 92)(21, 93)(22, 94)(23, 107)(24, 108)(25, 109)(26, 98)(27, 99)(28, 100)(29, 113)(30, 114)(31, 115)(32, 104)(33, 105)(34, 106)(35, 110)(36, 117)(37, 116)(38, 111)(39, 112)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.592
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^3 * Y1^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1^13, Y3 * Y1^-12, Y1^13, Y3 * Y2 * Y3^4 * Y2^2 * Y1^-6, Y3^26 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 20, 59, 26, 65, 32, 71, 37, 76, 31, 70, 25, 64, 19, 58, 11, 50, 4, 43)(3, 42, 7, 46, 13, 52, 16, 55, 22, 61, 28, 67, 34, 73, 39, 78, 36, 75, 30, 69, 24, 63, 18, 57, 10, 49)(5, 44, 8, 47, 15, 54, 21, 60, 27, 66, 33, 72, 38, 77, 35, 74, 29, 68, 23, 62, 17, 56, 9, 48, 12, 51)(79, 118, 81, 120, 87, 126, 89, 128, 96, 135, 101, 140, 103, 142, 108, 147, 113, 152, 115, 154, 117, 156, 111, 150, 104, 143, 106, 145, 99, 138, 92, 131, 94, 133, 86, 125, 80, 119, 85, 124, 90, 129, 82, 121, 88, 127, 95, 134, 97, 136, 102, 141, 107, 146, 109, 148, 114, 153, 116, 155, 110, 149, 112, 151, 105, 144, 98, 137, 100, 139, 93, 132, 84, 123, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 95)(10, 96)(11, 97)(12, 87)(13, 85)(14, 84)(15, 86)(16, 91)(17, 101)(18, 102)(19, 103)(20, 92)(21, 93)(22, 94)(23, 107)(24, 108)(25, 109)(26, 98)(27, 99)(28, 100)(29, 113)(30, 114)(31, 115)(32, 104)(33, 105)(34, 106)(35, 116)(36, 117)(37, 110)(38, 111)(39, 112)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.588
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y2 * Y1 * Y2^5, Y2^4 * Y3^-1 * Y2^2, Y2^2 * Y3 * Y2 * Y3^5, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-3 * Y2^-1, Y1^5 * Y2^-3 * Y3^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 32, 71, 19, 58, 25, 64, 31, 70, 35, 74, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 27, 66, 38, 77, 37, 76, 24, 63, 13, 52, 18, 57, 30, 69, 34, 73, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 28, 67, 33, 72, 20, 59, 9, 48, 17, 56, 29, 68, 39, 78, 36, 75, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 110, 149, 115, 154, 101, 140, 89, 128, 99, 138, 111, 150, 104, 143, 116, 155, 114, 153, 100, 139, 112, 151, 106, 145, 92, 131, 105, 144, 117, 156, 113, 152, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 109, 148, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 110)(20, 111)(21, 112)(22, 113)(23, 114)(24, 115)(25, 97)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 103)(32, 104)(33, 106)(34, 108)(35, 109)(36, 117)(37, 116)(38, 105)(39, 107)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.594
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2^4, Y1^-2 * Y2^-3 * Y1^-4, Y2^2 * Y1 * Y2 * Y3^-5, Y1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-2, Y1^6 * Y2^3, (Y2^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 37, 76, 25, 64, 19, 58, 31, 70, 34, 73, 22, 61, 11, 50, 4, 43)(3, 42, 7, 46, 15, 54, 27, 66, 36, 75, 24, 63, 13, 52, 18, 57, 30, 69, 39, 78, 33, 72, 21, 60, 10, 49)(5, 44, 8, 47, 16, 55, 28, 67, 38, 77, 32, 71, 20, 59, 9, 48, 17, 56, 29, 68, 35, 74, 23, 62, 12, 51)(79, 118, 81, 120, 87, 126, 97, 136, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 109, 148, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 112, 151, 117, 156, 106, 145, 92, 131, 105, 144, 113, 152, 100, 139, 111, 150, 116, 155, 104, 143, 114, 153, 101, 140, 89, 128, 99, 138, 110, 149, 115, 154, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 103, 142, 91, 130, 83, 122)
	L = (1, 82)(2, 79)(3, 88)(4, 89)(5, 90)(6, 80)(7, 81)(8, 83)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 84)(15, 85)(16, 86)(17, 87)(18, 91)(19, 103)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 116)(33, 117)(34, 109)(35, 107)(36, 105)(37, 104)(38, 106)(39, 108)(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) :: { ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.585
Graph:: bipartite
	v = 4 e = 78 f = 40
	degree seq :: [ 26^3, 78 ]

E18.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^19, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 10, 49, 14, 53, 18, 57, 22, 61, 26, 65, 30, 69, 34, 73, 38, 77, 37, 76, 33, 72, 29, 68, 25, 64, 21, 60, 17, 56, 13, 52, 9, 48, 5, 44, 3, 42, 7, 46, 11, 50, 15, 54, 19, 58, 23, 62, 27, 66, 31, 70, 35, 74, 39, 78, 36, 75, 32, 71, 28, 67, 24, 63, 20, 59, 16, 55, 12, 51, 8, 47, 4, 43)(79, 118, 81, 120, 80, 119, 85, 124, 84, 123, 89, 128, 88, 127, 93, 132, 92, 131, 97, 136, 96, 135, 101, 140, 100, 139, 105, 144, 104, 143, 109, 148, 108, 147, 113, 152, 112, 151, 117, 156, 116, 155, 114, 153, 115, 154, 110, 149, 111, 150, 106, 145, 107, 146, 102, 141, 103, 142, 98, 137, 99, 138, 94, 133, 95, 134, 90, 129, 91, 130, 86, 125, 87, 126, 82, 121, 83, 122)
	L = (1, 81)(2, 85)(3, 80)(4, 83)(5, 79)(6, 89)(7, 84)(8, 87)(9, 82)(10, 93)(11, 88)(12, 91)(13, 86)(14, 97)(15, 92)(16, 95)(17, 90)(18, 101)(19, 96)(20, 99)(21, 94)(22, 105)(23, 100)(24, 103)(25, 98)(26, 109)(27, 104)(28, 107)(29, 102)(30, 113)(31, 108)(32, 111)(33, 106)(34, 117)(35, 112)(36, 115)(37, 110)(38, 114)(39, 116)(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) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 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 E18.583
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2, Y1^-1), Y2^4 * Y1, Y1^-8 * Y2^-1 * Y1^-2, Y1^4 * Y2^-1 * Y1^3 * Y2^-1 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 22, 61, 30, 69, 37, 76, 29, 68, 21, 60, 12, 51, 5, 44, 8, 47, 16, 55, 24, 63, 32, 71, 38, 77, 34, 73, 26, 65, 18, 57, 9, 48, 13, 52, 17, 56, 25, 64, 33, 72, 39, 78, 35, 74, 27, 66, 19, 58, 10, 49, 3, 42, 7, 46, 15, 54, 23, 62, 31, 70, 36, 75, 28, 67, 20, 59, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 90, 129, 82, 121, 88, 127, 96, 135, 99, 138, 89, 128, 97, 136, 104, 143, 107, 146, 98, 137, 105, 144, 112, 151, 115, 154, 106, 145, 113, 152, 116, 155, 108, 147, 114, 153, 117, 156, 110, 149, 100, 139, 109, 148, 111, 150, 102, 141, 92, 131, 101, 140, 103, 142, 94, 133, 84, 123, 93, 132, 95, 134, 86, 125, 80, 119, 85, 124, 91, 130, 83, 122)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 91)(8, 80)(9, 90)(10, 96)(11, 97)(12, 82)(13, 83)(14, 101)(15, 95)(16, 84)(17, 86)(18, 99)(19, 104)(20, 105)(21, 89)(22, 109)(23, 103)(24, 92)(25, 94)(26, 107)(27, 112)(28, 113)(29, 98)(30, 114)(31, 111)(32, 100)(33, 102)(34, 115)(35, 116)(36, 117)(37, 106)(38, 108)(39, 110)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 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 E18.582
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^3 * Y1^-1 * Y2^2, Y1^7 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 24, 63, 30, 69, 20, 59, 10, 49, 3, 42, 7, 46, 15, 54, 25, 64, 34, 73, 37, 76, 29, 68, 19, 58, 9, 48, 17, 56, 27, 66, 35, 74, 39, 78, 33, 72, 23, 62, 13, 52, 18, 57, 28, 67, 36, 75, 38, 77, 32, 71, 22, 61, 12, 51, 5, 44, 8, 47, 16, 55, 26, 65, 31, 70, 21, 60, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 106, 145, 94, 133, 84, 123, 93, 132, 105, 144, 114, 153, 104, 143, 92, 131, 103, 142, 113, 152, 116, 155, 109, 148, 102, 141, 112, 151, 117, 156, 110, 149, 99, 138, 108, 147, 115, 154, 111, 150, 100, 139, 89, 128, 98, 137, 107, 146, 101, 140, 90, 129, 82, 121, 88, 127, 97, 136, 91, 130, 83, 122)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 96)(10, 97)(11, 98)(12, 82)(13, 83)(14, 103)(15, 105)(16, 84)(17, 106)(18, 86)(19, 91)(20, 107)(21, 108)(22, 89)(23, 90)(24, 112)(25, 113)(26, 92)(27, 114)(28, 94)(29, 101)(30, 115)(31, 102)(32, 99)(33, 100)(34, 117)(35, 116)(36, 104)(37, 111)(38, 109)(39, 110)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 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 E18.581
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2^-1 * Y1^-1 * Y2^-6, Y1 * Y2^-1 * Y1^3 * Y2^-3 * Y1, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 33, 72, 25, 64, 32, 71, 36, 75, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 27, 66, 39, 78, 24, 63, 13, 52, 18, 57, 30, 69, 35, 74, 20, 59, 9, 48, 17, 56, 29, 68, 38, 77, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 28, 67, 34, 73, 19, 58, 31, 70, 37, 76, 22, 61, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 97, 136, 111, 150, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 112, 151, 104, 143, 117, 156, 101, 140, 89, 128, 99, 138, 113, 152, 106, 145, 92, 131, 105, 144, 116, 155, 100, 139, 114, 153, 108, 147, 94, 133, 84, 123, 93, 132, 107, 146, 115, 154, 110, 149, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 109, 148, 103, 142, 91, 130, 83, 122)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 105)(15, 107)(16, 84)(17, 109)(18, 86)(19, 111)(20, 112)(21, 113)(22, 114)(23, 89)(24, 90)(25, 91)(26, 117)(27, 116)(28, 92)(29, 115)(30, 94)(31, 103)(32, 96)(33, 102)(34, 104)(35, 106)(36, 108)(37, 110)(38, 100)(39, 101)(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) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 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 E18.580
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3, Y1^3 * Y2 * Y1 * Y2 * Y1, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^4, Y2^-3 * Y1^3 * Y2^-2 * Y1^3 * Y2^-2 * Y1^3 * Y2^-5, (Y3^-1 * Y1^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 24, 63, 13, 52, 18, 57, 27, 66, 36, 75, 39, 78, 35, 74, 31, 70, 19, 58, 28, 67, 33, 72, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 26, 65, 34, 73, 25, 64, 29, 68, 30, 69, 37, 76, 38, 77, 32, 71, 20, 59, 9, 48, 17, 56, 22, 61, 11, 50, 4, 43)(79, 118, 81, 120, 87, 126, 97, 136, 108, 147, 105, 144, 94, 133, 84, 123, 93, 132, 100, 139, 111, 150, 116, 155, 117, 156, 112, 151, 102, 141, 90, 129, 82, 121, 88, 127, 98, 137, 109, 148, 107, 146, 96, 135, 86, 125, 80, 119, 85, 124, 95, 134, 106, 145, 115, 154, 114, 153, 104, 143, 92, 131, 101, 140, 89, 128, 99, 138, 110, 149, 113, 152, 103, 142, 91, 130, 83, 122)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 101)(15, 100)(16, 84)(17, 106)(18, 86)(19, 108)(20, 109)(21, 110)(22, 111)(23, 89)(24, 90)(25, 91)(26, 92)(27, 94)(28, 115)(29, 96)(30, 105)(31, 107)(32, 113)(33, 116)(34, 102)(35, 103)(36, 104)(37, 114)(38, 117)(39, 112)(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) :: { ( 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 2, 26, 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 E18.584
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y2^-1 * Y3^12, Y2^4 * Y3^-1 * Y2^2 * Y3^-5 * Y2, Y2^13, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(79, 118, 80, 119, 84, 123, 92, 131, 100, 139, 106, 145, 112, 151, 115, 154, 111, 150, 104, 143, 97, 136, 89, 128, 82, 121)(81, 120, 85, 124, 93, 132, 91, 130, 96, 135, 102, 141, 108, 147, 114, 153, 117, 156, 110, 149, 103, 142, 99, 138, 88, 127)(83, 122, 86, 125, 94, 133, 101, 140, 107, 146, 113, 152, 116, 155, 109, 148, 105, 144, 98, 137, 87, 126, 95, 134, 90, 129)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 91)(15, 90)(16, 84)(17, 89)(18, 86)(19, 103)(20, 104)(21, 105)(22, 96)(23, 92)(24, 94)(25, 109)(26, 110)(27, 111)(28, 102)(29, 100)(30, 101)(31, 115)(32, 116)(33, 117)(34, 108)(35, 106)(36, 107)(37, 114)(38, 112)(39, 113)(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) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.578
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y3^-6 * Y2, Y3 * Y2^-2 * Y3^3 * Y2 * Y3^2, Y2^3 * Y3 * Y2 * 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 * Y3^2 * Y2 * Y3, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(79, 118, 80, 119, 84, 123, 92, 131, 104, 143, 115, 154, 103, 142, 97, 136, 109, 148, 112, 151, 100, 139, 89, 128, 82, 121)(81, 120, 85, 124, 93, 132, 105, 144, 114, 153, 102, 141, 91, 130, 96, 135, 108, 147, 117, 156, 111, 150, 99, 138, 88, 127)(83, 122, 86, 125, 94, 133, 106, 145, 116, 155, 110, 149, 98, 137, 87, 126, 95, 134, 107, 146, 113, 152, 101, 140, 90, 129)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 105)(15, 107)(16, 84)(17, 109)(18, 86)(19, 96)(20, 103)(21, 110)(22, 111)(23, 89)(24, 90)(25, 91)(26, 114)(27, 113)(28, 92)(29, 112)(30, 94)(31, 108)(32, 115)(33, 116)(34, 117)(35, 100)(36, 101)(37, 102)(38, 104)(39, 106)(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) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.577
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R)^2, (Y3^-1, Y2^-1), Y2^13, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(79, 118, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128, 82, 121)(81, 120, 85, 124, 91, 130, 97, 136, 103, 142, 109, 148, 114, 153, 117, 156, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127)(83, 122, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 115, 154, 116, 155, 111, 150, 105, 144, 99, 138, 93, 132, 87, 126)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 91)(7, 83)(8, 80)(9, 82)(10, 93)(11, 94)(12, 97)(13, 86)(14, 84)(15, 89)(16, 99)(17, 100)(18, 103)(19, 92)(20, 90)(21, 95)(22, 105)(23, 106)(24, 109)(25, 98)(26, 96)(27, 101)(28, 111)(29, 112)(30, 114)(31, 104)(32, 102)(33, 107)(34, 116)(35, 117)(36, 110)(37, 108)(38, 113)(39, 115)(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) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.576
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^13, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(79, 118, 80, 119, 84, 123, 90, 129, 96, 135, 102, 141, 108, 147, 112, 151, 106, 145, 100, 139, 94, 133, 88, 127, 82, 121)(81, 120, 85, 124, 91, 130, 97, 136, 103, 142, 109, 148, 114, 153, 116, 155, 111, 150, 105, 144, 99, 138, 93, 132, 87, 126)(83, 122, 86, 125, 92, 131, 98, 137, 104, 143, 110, 149, 115, 154, 117, 156, 113, 152, 107, 146, 101, 140, 95, 134, 89, 128)
	L = (1, 81)(2, 85)(3, 86)(4, 87)(5, 79)(6, 91)(7, 92)(8, 80)(9, 83)(10, 93)(11, 82)(12, 97)(13, 98)(14, 84)(15, 89)(16, 99)(17, 88)(18, 103)(19, 104)(20, 90)(21, 95)(22, 105)(23, 94)(24, 109)(25, 110)(26, 96)(27, 101)(28, 111)(29, 100)(30, 114)(31, 115)(32, 102)(33, 107)(34, 116)(35, 106)(36, 117)(37, 108)(38, 113)(39, 112)(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) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.575
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^3 * Y2^2, Y2^13, Y2^13, Y2^-5 * Y3^2 * Y2^-6 * Y3, (Y2^-1 * Y3)^39, (Y3^-1 * Y1^-1)^39 ]
Map::
	R = (1, 40)(2, 41)(3, 42)(4, 43)(5, 44)(6, 45)(7, 46)(8, 47)(9, 48)(10, 49)(11, 50)(12, 51)(13, 52)(14, 53)(15, 54)(16, 55)(17, 56)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 64)(26, 65)(27, 66)(28, 67)(29, 68)(30, 69)(31, 70)(32, 71)(33, 72)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(79, 118, 80, 119, 84, 123, 92, 131, 98, 137, 104, 143, 110, 149, 115, 154, 109, 148, 103, 142, 97, 136, 89, 128, 82, 121)(81, 120, 85, 124, 91, 130, 94, 133, 100, 139, 106, 145, 112, 151, 117, 156, 114, 153, 108, 147, 102, 141, 96, 135, 88, 127)(83, 122, 86, 125, 93, 132, 99, 138, 105, 144, 111, 150, 116, 155, 113, 152, 107, 146, 101, 140, 95, 134, 87, 126, 90, 129)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 91)(7, 90)(8, 80)(9, 89)(10, 95)(11, 96)(12, 82)(13, 83)(14, 94)(15, 84)(16, 86)(17, 97)(18, 101)(19, 102)(20, 100)(21, 92)(22, 93)(23, 103)(24, 107)(25, 108)(26, 106)(27, 98)(28, 99)(29, 109)(30, 113)(31, 114)(32, 112)(33, 104)(34, 105)(35, 115)(36, 116)(37, 117)(38, 110)(39, 111)(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) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.579
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y1^6, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 22, 61, 28, 67, 34, 73, 38, 77, 32, 71, 26, 65, 20, 59, 12, 51, 5, 44, 8, 47, 16, 55, 9, 48, 17, 56, 24, 63, 30, 69, 36, 75, 39, 78, 33, 72, 27, 66, 21, 60, 13, 52, 18, 57, 10, 49, 3, 42, 7, 46, 15, 54, 23, 62, 29, 68, 35, 74, 37, 76, 31, 70, 25, 64, 19, 58, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 92)(10, 94)(11, 96)(12, 82)(13, 83)(14, 101)(15, 102)(16, 84)(17, 100)(18, 86)(19, 91)(20, 89)(21, 90)(22, 107)(23, 108)(24, 106)(25, 99)(26, 97)(27, 98)(28, 113)(29, 114)(30, 112)(31, 105)(32, 103)(33, 104)(34, 115)(35, 117)(36, 116)(37, 111)(38, 109)(39, 110)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 26, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.574
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^4, Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^3, Y3^-3 * Y1^-1 * Y3^-4 * Y1^-2, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^3 * Y3^2 * Y1^-1 * Y3, (Y3 * Y2^-1)^13, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 26, 65, 35, 74, 24, 63, 13, 52, 18, 57, 28, 67, 31, 70, 39, 78, 36, 75, 25, 64, 30, 69, 32, 71, 19, 58, 29, 68, 38, 77, 37, 76, 33, 72, 20, 59, 9, 48, 17, 56, 27, 66, 34, 73, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 100)(15, 105)(16, 84)(17, 107)(18, 86)(19, 109)(20, 110)(21, 111)(22, 112)(23, 89)(24, 90)(25, 91)(26, 92)(27, 116)(28, 94)(29, 117)(30, 96)(31, 104)(32, 106)(33, 108)(34, 115)(35, 101)(36, 102)(37, 103)(38, 114)(39, 113)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.570
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^5, Y3^2 * Y1^2 * Y3^4 * Y1, Y3^2 * Y1^-1 * Y3^4 * Y1^-2 * Y3, (Y3 * Y2^-1)^13, Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 40, 2, 41, 6, 45, 14, 53, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 26, 65, 33, 72, 20, 59, 9, 48, 17, 56, 27, 66, 37, 76, 39, 78, 32, 71, 19, 58, 29, 68, 36, 75, 25, 64, 30, 69, 38, 77, 31, 70, 35, 74, 24, 63, 13, 52, 18, 57, 28, 67, 34, 73, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 104)(15, 105)(16, 84)(17, 107)(18, 86)(19, 109)(20, 110)(21, 111)(22, 92)(23, 89)(24, 90)(25, 91)(26, 115)(27, 114)(28, 94)(29, 113)(30, 96)(31, 112)(32, 116)(33, 117)(34, 100)(35, 101)(36, 102)(37, 103)(38, 106)(39, 108)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.564
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^13, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 5, 44, 8, 47, 12, 51, 11, 50, 14, 53, 18, 57, 17, 56, 20, 59, 24, 63, 23, 62, 26, 65, 30, 69, 29, 68, 32, 71, 36, 75, 35, 74, 38, 77, 39, 78, 33, 72, 37, 76, 34, 73, 27, 66, 31, 70, 28, 67, 21, 60, 25, 64, 22, 61, 15, 54, 19, 58, 16, 55, 9, 48, 13, 52, 10, 49, 3, 42, 7, 46, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 82)(7, 91)(8, 80)(9, 93)(10, 94)(11, 83)(12, 84)(13, 97)(14, 86)(15, 99)(16, 100)(17, 89)(18, 90)(19, 103)(20, 92)(21, 105)(22, 106)(23, 95)(24, 96)(25, 109)(26, 98)(27, 111)(28, 112)(29, 101)(30, 102)(31, 115)(32, 104)(33, 113)(34, 117)(35, 107)(36, 108)(37, 116)(38, 110)(39, 114)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.572
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^-3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^13, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 3, 42, 7, 46, 12, 51, 9, 48, 13, 52, 18, 57, 15, 54, 19, 58, 24, 63, 21, 60, 25, 64, 30, 69, 27, 66, 31, 70, 36, 75, 33, 72, 37, 76, 39, 78, 35, 74, 38, 77, 34, 73, 29, 68, 32, 71, 28, 67, 23, 62, 26, 65, 22, 61, 17, 56, 20, 59, 16, 55, 11, 50, 14, 53, 10, 49, 5, 44, 8, 47, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 84)(5, 79)(6, 90)(7, 91)(8, 80)(9, 93)(10, 82)(11, 83)(12, 96)(13, 97)(14, 86)(15, 99)(16, 88)(17, 89)(18, 102)(19, 103)(20, 92)(21, 105)(22, 94)(23, 95)(24, 108)(25, 109)(26, 98)(27, 111)(28, 100)(29, 101)(30, 114)(31, 115)(32, 104)(33, 113)(34, 106)(35, 107)(36, 117)(37, 116)(38, 110)(39, 112)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.569
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-13, Y3^26, (Y3 * Y2^-1)^13, Y3^-39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 9, 48, 15, 54, 20, 59, 22, 61, 27, 66, 32, 71, 34, 73, 39, 78, 36, 75, 31, 70, 29, 68, 24, 63, 19, 58, 17, 56, 12, 51, 5, 44, 8, 47, 10, 49, 3, 42, 7, 46, 14, 53, 16, 55, 21, 60, 26, 65, 28, 67, 33, 72, 38, 77, 37, 76, 35, 74, 30, 69, 25, 64, 23, 62, 18, 57, 13, 52, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 92)(7, 93)(8, 80)(9, 94)(10, 84)(11, 86)(12, 82)(13, 83)(14, 98)(15, 99)(16, 100)(17, 89)(18, 90)(19, 91)(20, 104)(21, 105)(22, 106)(23, 95)(24, 96)(25, 97)(26, 110)(27, 111)(28, 112)(29, 101)(30, 102)(31, 103)(32, 116)(33, 117)(34, 115)(35, 107)(36, 108)(37, 109)(38, 114)(39, 113)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.566
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y3^2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^13, Y3^-13, Y3^-13, Y3^26, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 13, 52, 15, 54, 20, 59, 25, 64, 27, 66, 32, 71, 37, 76, 39, 78, 35, 74, 28, 67, 30, 69, 23, 62, 16, 55, 18, 57, 10, 49, 3, 42, 7, 46, 12, 51, 5, 44, 8, 47, 14, 53, 19, 58, 21, 60, 26, 65, 31, 70, 33, 72, 38, 77, 34, 73, 36, 75, 29, 68, 22, 61, 24, 63, 17, 56, 9, 48, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 90)(7, 89)(8, 80)(9, 94)(10, 95)(11, 96)(12, 82)(13, 83)(14, 84)(15, 86)(16, 100)(17, 101)(18, 102)(19, 91)(20, 92)(21, 93)(22, 106)(23, 107)(24, 108)(25, 97)(26, 98)(27, 99)(28, 112)(29, 113)(30, 114)(31, 103)(32, 104)(33, 105)(34, 115)(35, 116)(36, 117)(37, 109)(38, 110)(39, 111)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.567
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3^-4 * Y1^-1, Y3^-2 * Y1^2 * Y3^-1 * Y1^4, (Y3 * Y2^-1)^13, Y1^-1 * 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 * Y3^4 * Y1^-1 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 34, 73, 19, 58, 31, 70, 24, 63, 13, 52, 18, 57, 30, 69, 36, 75, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 27, 66, 38, 77, 39, 78, 33, 72, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 28, 67, 35, 74, 20, 59, 9, 48, 17, 56, 29, 68, 25, 64, 32, 71, 37, 76, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 105)(15, 107)(16, 84)(17, 109)(18, 86)(19, 111)(20, 112)(21, 113)(22, 114)(23, 89)(24, 90)(25, 91)(26, 116)(27, 103)(28, 92)(29, 102)(30, 94)(31, 101)(32, 96)(33, 100)(34, 117)(35, 104)(36, 106)(37, 108)(38, 110)(39, 115)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.571
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-3, Y1 * Y3 * Y1 * Y3^2 * Y1^4, (Y3 * Y2^-1)^13, (Y1^-1 * Y3^-1)^39 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 37, 76, 25, 64, 32, 71, 20, 59, 9, 48, 17, 56, 29, 68, 35, 74, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 28, 67, 38, 77, 39, 78, 33, 72, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 27, 66, 36, 75, 24, 63, 13, 52, 18, 57, 30, 69, 19, 58, 31, 70, 34, 73, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 105)(15, 107)(16, 84)(17, 109)(18, 86)(19, 106)(20, 108)(21, 110)(22, 111)(23, 89)(24, 90)(25, 91)(26, 114)(27, 113)(28, 92)(29, 112)(30, 94)(31, 116)(32, 96)(33, 103)(34, 117)(35, 100)(36, 101)(37, 102)(38, 104)(39, 115)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.565
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^2 * Y3^-1 * Y1 * Y3^-3, Y1^-2 * Y3^-1 * Y1^-7, (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 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 34, 73, 31, 70, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 19, 58, 29, 68, 37, 76, 38, 77, 32, 71, 24, 63, 13, 52, 18, 57, 20, 59, 9, 48, 17, 56, 28, 67, 36, 75, 39, 78, 33, 72, 25, 64, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 27, 66, 35, 74, 30, 69, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 105)(15, 106)(16, 84)(17, 107)(18, 86)(19, 92)(20, 94)(21, 96)(22, 103)(23, 89)(24, 90)(25, 91)(26, 113)(27, 114)(28, 115)(29, 104)(30, 111)(31, 100)(32, 101)(33, 102)(34, 108)(35, 117)(36, 116)(37, 112)(38, 109)(39, 110)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 26, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.573
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {13, 39, 39})
Quotient :: dipole
Aut^+ = C39 (small group id <39, 2>)
Aut   = D78 (small group id <78, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^-4, Y1^-9 * Y3, (Y3 * Y2^-1)^13 ]
Map::
	R = (1, 40, 2, 41, 6, 45, 14, 53, 26, 65, 34, 73, 32, 71, 21, 60, 10, 49, 3, 42, 7, 46, 15, 54, 25, 64, 29, 68, 37, 76, 39, 78, 31, 70, 20, 59, 9, 48, 17, 56, 24, 63, 13, 52, 18, 57, 28, 67, 36, 75, 38, 77, 30, 69, 19, 58, 23, 62, 12, 51, 5, 44, 8, 47, 16, 55, 27, 66, 35, 74, 33, 72, 22, 61, 11, 50, 4, 43)(79, 118)(80, 119)(81, 120)(82, 121)(83, 122)(84, 123)(85, 124)(86, 125)(87, 126)(88, 127)(89, 128)(90, 129)(91, 130)(92, 131)(93, 132)(94, 133)(95, 134)(96, 135)(97, 136)(98, 137)(99, 138)(100, 139)(101, 140)(102, 141)(103, 142)(104, 143)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)
	L = (1, 81)(2, 85)(3, 87)(4, 88)(5, 79)(6, 93)(7, 95)(8, 80)(9, 97)(10, 98)(11, 99)(12, 82)(13, 83)(14, 103)(15, 102)(16, 84)(17, 101)(18, 86)(19, 100)(20, 108)(21, 109)(22, 110)(23, 89)(24, 90)(25, 91)(26, 107)(27, 92)(28, 94)(29, 96)(30, 111)(31, 116)(32, 117)(33, 112)(34, 115)(35, 104)(36, 105)(37, 106)(38, 113)(39, 114)(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, 78 ), ( 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78, 26, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.568
Graph:: bipartite
	v = 40 e = 78 f = 4
	degree seq :: [ 2^39, 78 ]

E18.596 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^3 * Y2 * Y1^-2 * Y3, (Y3 * Y2)^4, Y1^2 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, (Y2 * Y1 * Y3)^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 63, 23, 52, 12, 58, 18, 67, 27, 75, 35, 80, 40, 73, 33, 77, 37, 78, 38, 71, 31, 60, 20, 50, 10, 57, 17, 65, 25, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 70, 30, 68, 28, 61, 21, 72, 32, 79, 39, 76, 36, 69, 29, 64, 24, 74, 34, 66, 26, 56, 16, 48, 8, 44, 4, 51, 11, 62, 22, 55, 15, 47, 7, 43)
	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, 33)(25, 30)(26, 35)(29, 37)(31, 39)(34, 40)(36, 38)(41, 44)(42, 48)(43, 50)(45, 51)(46, 56)(47, 57)(49, 60)(52, 64)(53, 62)(54, 66)(55, 65)(58, 69)(59, 71)(61, 73)(63, 74)(67, 76)(68, 77)(70, 78)(72, 80)(75, 79)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.598
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.597 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|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 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 50, 10, 55, 15, 60, 20, 62, 22, 67, 27, 72, 32, 74, 34, 79, 39, 77, 37, 75, 35, 70, 30, 65, 25, 63, 23, 58, 18, 52, 12, 53, 13, 45, 5, 41)(3, 49, 9, 48, 8, 44, 4, 51, 11, 57, 17, 59, 19, 64, 24, 69, 29, 71, 31, 76, 36, 80, 40, 78, 38, 73, 33, 68, 28, 66, 26, 61, 21, 56, 16, 54, 14, 47, 7, 43)
	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, 39)(41, 44)(42, 48)(43, 50)(45, 51)(46, 49)(47, 55)(52, 59)(53, 57)(54, 60)(56, 62)(58, 64)(61, 67)(63, 69)(65, 71)(66, 72)(68, 74)(70, 76)(73, 79)(75, 80)(77, 78)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.599
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.598 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-2 * Y2, Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3, (Y3 * Y2)^4, Y1 * Y3 * Y1^-3 * Y2 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-2 * Y3, Y1^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 76, 36, 80, 40, 65, 25, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 73, 33, 72, 32, 64, 24, 79, 39, 67, 27, 55, 15, 47, 7, 43)(4, 51, 11, 62, 22, 77, 37, 71, 31, 61, 21, 75, 35, 68, 28, 56, 16, 48, 8, 44)(10, 57, 17, 69, 29, 78, 38, 63, 23, 52, 12, 58, 18, 70, 30, 74, 34, 60, 20, 50)
	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, 39)(28, 34)(29, 37)(32, 40)(41, 44)(42, 48)(43, 50)(45, 51)(46, 56)(47, 57)(49, 60)(52, 64)(53, 62)(54, 68)(55, 69)(58, 72)(59, 74)(61, 76)(63, 79)(65, 77)(66, 75)(67, 78)(70, 73)(71, 80)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.596
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.599 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: halfedge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^10, Y1^4 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, (Y2 * Y1 * Y2 * Y1^2)^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 74, 34, 73, 33, 65, 25, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 64, 24, 72, 32, 80, 40, 75, 35, 67, 27, 55, 15, 47, 7, 43)(4, 51, 11, 62, 22, 70, 30, 78, 38, 77, 37, 69, 29, 61, 21, 56, 16, 48, 8, 44)(10, 57, 17, 68, 28, 76, 36, 79, 39, 71, 31, 63, 23, 52, 12, 58, 18, 60, 20, 50)
	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, 40)(36, 38)(41, 44)(42, 48)(43, 50)(45, 51)(46, 56)(47, 57)(49, 60)(52, 64)(53, 62)(54, 61)(55, 68)(58, 59)(63, 72)(65, 70)(66, 69)(67, 76)(71, 80)(73, 78)(74, 77)(75, 79)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.597
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.600 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^4, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-4, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2, Y3^30 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 24, 64, 39, 79, 26, 66, 40, 80, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 34, 74, 19, 59, 33, 73, 32, 72, 18, 58, 8, 48)(3, 43, 10, 50, 22, 62, 37, 77, 28, 68, 14, 54, 27, 67, 38, 78, 23, 63, 11, 51)(6, 46, 15, 55, 29, 69, 36, 76, 21, 61, 9, 49, 20, 60, 35, 75, 30, 70, 16, 56)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 101)(91, 100)(92, 98)(93, 97)(95, 108)(96, 107)(99, 106)(102, 116)(103, 115)(104, 112)(105, 111)(109, 117)(110, 118)(113, 119)(114, 120)(121, 123)(122, 126)(124, 131)(125, 130)(127, 136)(128, 135)(129, 139)(132, 143)(133, 142)(134, 146)(137, 150)(138, 149)(140, 154)(141, 153)(144, 158)(145, 157)(147, 159)(148, 160)(151, 155)(152, 156)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E18.606
Graph:: simple bipartite
	v = 44 e = 80 f = 2
	degree seq :: [ 2^40, 20^4 ]

E18.601 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^4, Y3^10, Y1 * Y3^3 * Y2 * Y1 * Y3^4 * Y2, (Y3 * Y1 * Y2)^20 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 24, 64, 32, 72, 40, 80, 33, 73, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 28, 68, 36, 76, 37, 77, 29, 69, 19, 59, 18, 58, 8, 48)(3, 43, 10, 50, 22, 62, 14, 54, 26, 66, 34, 74, 39, 79, 31, 71, 23, 63, 11, 51)(6, 46, 15, 55, 21, 61, 9, 49, 20, 60, 30, 70, 38, 78, 35, 75, 27, 67, 16, 56)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 101)(91, 100)(92, 98)(93, 97)(95, 102)(96, 106)(99, 104)(103, 110)(105, 108)(107, 114)(109, 112)(111, 118)(113, 116)(115, 119)(117, 120)(121, 123)(122, 126)(124, 131)(125, 130)(127, 136)(128, 135)(129, 139)(132, 143)(133, 142)(134, 145)(137, 147)(138, 141)(140, 149)(144, 151)(146, 153)(148, 155)(150, 157)(152, 159)(154, 160)(156, 158)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E18.607
Graph:: simple bipartite
	v = 44 e = 80 f = 2
	degree seq :: [ 2^40, 20^4 ]

E18.602 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3 * Y2 * Y3^-4, (Y1 * Y2)^4, (Y3 * Y1 * Y2)^10 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 24, 64, 16, 56, 6, 46, 15, 55, 29, 69, 38, 78, 36, 76, 26, 66, 35, 75, 40, 80, 33, 73, 21, 61, 9, 49, 20, 60, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 23, 63, 11, 51, 3, 43, 10, 50, 22, 62, 34, 74, 32, 72, 19, 59, 31, 71, 39, 79, 37, 77, 28, 68, 14, 54, 27, 67, 30, 70, 18, 58, 8, 48)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 101)(91, 100)(92, 98)(93, 97)(95, 108)(96, 107)(99, 106)(102, 113)(103, 105)(104, 110)(109, 117)(111, 116)(112, 115)(114, 120)(118, 119)(121, 123)(122, 126)(124, 131)(125, 130)(127, 136)(128, 135)(129, 139)(132, 143)(133, 142)(134, 146)(137, 144)(138, 149)(140, 152)(141, 151)(145, 154)(147, 156)(148, 155)(150, 158)(153, 159)(157, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E18.604
Graph:: simple bipartite
	v = 42 e = 80 f = 4
	degree seq :: [ 2^40, 40^2 ]

E18.603 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 20})
Quotient :: edge^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|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^-3 * Y2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 9, 49, 18, 58, 25, 65, 23, 63, 30, 70, 37, 77, 35, 75, 39, 79, 32, 72, 34, 74, 27, 67, 20, 60, 22, 62, 15, 55, 6, 46, 13, 53, 5, 45)(2, 42, 7, 47, 16, 56, 14, 54, 21, 61, 28, 68, 26, 66, 33, 73, 40, 80, 38, 78, 36, 76, 29, 69, 31, 71, 24, 64, 17, 57, 19, 59, 11, 51, 3, 43, 10, 50, 8, 48)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 92)(91, 98)(93, 96)(95, 101)(97, 103)(99, 105)(100, 106)(102, 108)(104, 110)(107, 113)(109, 115)(111, 117)(112, 118)(114, 120)(116, 119)(121, 123)(122, 126)(124, 131)(125, 130)(127, 135)(128, 133)(129, 137)(132, 139)(134, 140)(136, 142)(138, 144)(141, 147)(143, 149)(145, 151)(146, 152)(148, 154)(150, 156)(153, 159)(155, 160)(157, 158)
	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, 40 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E18.605
Graph:: simple bipartite
	v = 42 e = 80 f = 4
	degree seq :: [ 2^40, 40^2 ]

E18.604 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1 * Y2)^4, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-4, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-2, Y3^30 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 24, 64, 104, 144, 39, 79, 119, 159, 26, 66, 106, 146, 40, 80, 120, 160, 25, 65, 105, 145, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 31, 71, 111, 151, 34, 74, 114, 154, 19, 59, 99, 139, 33, 73, 113, 153, 32, 72, 112, 152, 18, 58, 98, 138, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 37, 77, 117, 157, 28, 68, 108, 148, 14, 54, 94, 134, 27, 67, 107, 147, 38, 78, 118, 158, 23, 63, 103, 143, 11, 51, 91, 131)(6, 46, 86, 126, 15, 55, 95, 135, 29, 69, 109, 149, 36, 76, 116, 156, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 35, 75, 115, 155, 30, 70, 110, 150, 16, 56, 96, 136)
	L = (1, 42)(2, 41)(3, 49)(4, 48)(5, 47)(6, 54)(7, 45)(8, 44)(9, 43)(10, 61)(11, 60)(12, 58)(13, 57)(14, 46)(15, 68)(16, 67)(17, 53)(18, 52)(19, 66)(20, 51)(21, 50)(22, 76)(23, 75)(24, 72)(25, 71)(26, 59)(27, 56)(28, 55)(29, 77)(30, 78)(31, 65)(32, 64)(33, 79)(34, 80)(35, 63)(36, 62)(37, 69)(38, 70)(39, 73)(40, 74)(81, 123)(82, 126)(83, 121)(84, 131)(85, 130)(86, 122)(87, 136)(88, 135)(89, 139)(90, 125)(91, 124)(92, 143)(93, 142)(94, 146)(95, 128)(96, 127)(97, 150)(98, 149)(99, 129)(100, 154)(101, 153)(102, 133)(103, 132)(104, 158)(105, 157)(106, 134)(107, 159)(108, 160)(109, 138)(110, 137)(111, 155)(112, 156)(113, 141)(114, 140)(115, 151)(116, 152)(117, 145)(118, 144)(119, 147)(120, 148)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.602
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 42
	degree seq :: [ 40^4 ]

E18.605 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^4, Y3^10, Y1 * Y3^3 * Y2 * Y1 * Y3^4 * Y2, (Y3 * Y1 * Y2)^20 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 24, 64, 104, 144, 32, 72, 112, 152, 40, 80, 120, 160, 33, 73, 113, 153, 25, 65, 105, 145, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 28, 68, 108, 148, 36, 76, 116, 156, 37, 77, 117, 157, 29, 69, 109, 149, 19, 59, 99, 139, 18, 58, 98, 138, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 14, 54, 94, 134, 26, 66, 106, 146, 34, 74, 114, 154, 39, 79, 119, 159, 31, 71, 111, 151, 23, 63, 103, 143, 11, 51, 91, 131)(6, 46, 86, 126, 15, 55, 95, 135, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 30, 70, 110, 150, 38, 78, 118, 158, 35, 75, 115, 155, 27, 67, 107, 147, 16, 56, 96, 136)
	L = (1, 42)(2, 41)(3, 49)(4, 48)(5, 47)(6, 54)(7, 45)(8, 44)(9, 43)(10, 61)(11, 60)(12, 58)(13, 57)(14, 46)(15, 62)(16, 66)(17, 53)(18, 52)(19, 64)(20, 51)(21, 50)(22, 55)(23, 70)(24, 59)(25, 68)(26, 56)(27, 74)(28, 65)(29, 72)(30, 63)(31, 78)(32, 69)(33, 76)(34, 67)(35, 79)(36, 73)(37, 80)(38, 71)(39, 75)(40, 77)(81, 123)(82, 126)(83, 121)(84, 131)(85, 130)(86, 122)(87, 136)(88, 135)(89, 139)(90, 125)(91, 124)(92, 143)(93, 142)(94, 145)(95, 128)(96, 127)(97, 147)(98, 141)(99, 129)(100, 149)(101, 138)(102, 133)(103, 132)(104, 151)(105, 134)(106, 153)(107, 137)(108, 155)(109, 140)(110, 157)(111, 144)(112, 159)(113, 146)(114, 160)(115, 148)(116, 158)(117, 150)(118, 156)(119, 152)(120, 154)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.603
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 42
	degree seq :: [ 40^4 ]

E18.606 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y3 * Y2 * Y3^-4, (Y1 * Y2)^4, (Y3 * Y1 * Y2)^10 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 24, 64, 104, 144, 16, 56, 96, 136, 6, 46, 86, 126, 15, 55, 95, 135, 29, 69, 109, 149, 38, 78, 118, 158, 36, 76, 116, 156, 26, 66, 106, 146, 35, 75, 115, 155, 40, 80, 120, 160, 33, 73, 113, 153, 21, 61, 101, 141, 9, 49, 89, 129, 20, 60, 100, 140, 25, 65, 105, 145, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 23, 63, 103, 143, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 22, 62, 102, 142, 34, 74, 114, 154, 32, 72, 112, 152, 19, 59, 99, 139, 31, 71, 111, 151, 39, 79, 119, 159, 37, 77, 117, 157, 28, 68, 108, 148, 14, 54, 94, 134, 27, 67, 107, 147, 30, 70, 110, 150, 18, 58, 98, 138, 8, 48, 88, 128)
	L = (1, 42)(2, 41)(3, 49)(4, 48)(5, 47)(6, 54)(7, 45)(8, 44)(9, 43)(10, 61)(11, 60)(12, 58)(13, 57)(14, 46)(15, 68)(16, 67)(17, 53)(18, 52)(19, 66)(20, 51)(21, 50)(22, 73)(23, 65)(24, 70)(25, 63)(26, 59)(27, 56)(28, 55)(29, 77)(30, 64)(31, 76)(32, 75)(33, 62)(34, 80)(35, 72)(36, 71)(37, 69)(38, 79)(39, 78)(40, 74)(81, 123)(82, 126)(83, 121)(84, 131)(85, 130)(86, 122)(87, 136)(88, 135)(89, 139)(90, 125)(91, 124)(92, 143)(93, 142)(94, 146)(95, 128)(96, 127)(97, 144)(98, 149)(99, 129)(100, 152)(101, 151)(102, 133)(103, 132)(104, 137)(105, 154)(106, 134)(107, 156)(108, 155)(109, 138)(110, 158)(111, 141)(112, 140)(113, 159)(114, 145)(115, 148)(116, 147)(117, 160)(118, 150)(119, 153)(120, 157)
	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 E18.600
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 44
	degree seq :: [ 80^2 ]

E18.607 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 20})
Quotient :: loop^2
Aut^+ = D40 (small group id <40, 6>)
Aut   = D80 (small group id <80, 7>)
|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^-3 * Y2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 9, 49, 89, 129, 18, 58, 98, 138, 25, 65, 105, 145, 23, 63, 103, 143, 30, 70, 110, 150, 37, 77, 117, 157, 35, 75, 115, 155, 39, 79, 119, 159, 32, 72, 112, 152, 34, 74, 114, 154, 27, 67, 107, 147, 20, 60, 100, 140, 22, 62, 102, 142, 15, 55, 95, 135, 6, 46, 86, 126, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 16, 56, 96, 136, 14, 54, 94, 134, 21, 61, 101, 141, 28, 68, 108, 148, 26, 66, 106, 146, 33, 73, 113, 153, 40, 80, 120, 160, 38, 78, 118, 158, 36, 76, 116, 156, 29, 69, 109, 149, 31, 71, 111, 151, 24, 64, 104, 144, 17, 57, 97, 137, 19, 59, 99, 139, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 8, 48, 88, 128)
	L = (1, 42)(2, 41)(3, 49)(4, 48)(5, 47)(6, 54)(7, 45)(8, 44)(9, 43)(10, 52)(11, 58)(12, 50)(13, 56)(14, 46)(15, 61)(16, 53)(17, 63)(18, 51)(19, 65)(20, 66)(21, 55)(22, 68)(23, 57)(24, 70)(25, 59)(26, 60)(27, 73)(28, 62)(29, 75)(30, 64)(31, 77)(32, 78)(33, 67)(34, 80)(35, 69)(36, 79)(37, 71)(38, 72)(39, 76)(40, 74)(81, 123)(82, 126)(83, 121)(84, 131)(85, 130)(86, 122)(87, 135)(88, 133)(89, 137)(90, 125)(91, 124)(92, 139)(93, 128)(94, 140)(95, 127)(96, 142)(97, 129)(98, 144)(99, 132)(100, 134)(101, 147)(102, 136)(103, 149)(104, 138)(105, 151)(106, 152)(107, 141)(108, 154)(109, 143)(110, 156)(111, 145)(112, 146)(113, 159)(114, 148)(115, 160)(116, 150)(117, 158)(118, 157)(119, 153)(120, 155)
	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 E18.601
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 80 f = 44
	degree seq :: [ 80^2 ]

E18.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 11, 51)(5, 45, 13, 53)(7, 47, 9, 49)(8, 48, 10, 50)(12, 52, 15, 55)(14, 54, 16, 56)(17, 57, 19, 59)(18, 58, 21, 61)(20, 60, 27, 67)(22, 62, 29, 69)(23, 63, 25, 65)(24, 64, 26, 66)(28, 68, 31, 71)(30, 70, 32, 72)(33, 73, 35, 75)(34, 74, 37, 77)(36, 76, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123)(82, 122, 86, 126)(84, 124, 89, 129)(85, 125, 90, 130)(87, 127, 91, 131)(88, 128, 93, 133)(92, 132, 97, 137)(94, 134, 98, 138)(95, 135, 99, 139)(96, 136, 101, 141)(100, 140, 105, 145)(102, 142, 106, 146)(103, 143, 107, 147)(104, 144, 109, 149)(108, 148, 113, 153)(110, 150, 114, 154)(111, 151, 115, 155)(112, 152, 117, 157)(116, 156, 119, 159)(118, 158, 120, 160)
	L = (1, 84)(2, 87)(3, 89)(4, 92)(5, 81)(6, 91)(7, 95)(8, 82)(9, 97)(10, 83)(11, 99)(12, 100)(13, 86)(14, 85)(15, 103)(16, 88)(17, 105)(18, 90)(19, 107)(20, 108)(21, 93)(22, 94)(23, 111)(24, 96)(25, 113)(26, 98)(27, 115)(28, 116)(29, 101)(30, 102)(31, 118)(32, 104)(33, 119)(34, 106)(35, 120)(36, 110)(37, 109)(38, 112)(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) :: { ( 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.623
Graph:: simple bipartite
	v = 40 e = 80 f = 6
	degree seq :: [ 4^40 ]

E18.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^5 * Y3^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 23, 63)(12, 52, 24, 64)(13, 53, 22, 62)(14, 54, 21, 61)(15, 55, 20, 60)(16, 56, 18, 58)(17, 57, 19, 59)(25, 65, 39, 79)(26, 66, 40, 80)(27, 67, 38, 78)(28, 68, 37, 77)(29, 69, 36, 76)(30, 70, 35, 75)(31, 71, 33, 73)(32, 72, 34, 74)(81, 121, 83, 123, 91, 131, 105, 145, 109, 149, 94, 134, 108, 148, 111, 151, 96, 136, 85, 125)(82, 122, 87, 127, 98, 138, 113, 153, 117, 157, 101, 141, 116, 156, 119, 159, 103, 143, 89, 129)(84, 124, 92, 132, 106, 146, 112, 152, 97, 137, 86, 126, 93, 133, 107, 147, 110, 150, 95, 135)(88, 128, 99, 139, 114, 154, 120, 160, 104, 144, 90, 130, 100, 140, 115, 155, 118, 158, 102, 142)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 99)(8, 101)(9, 102)(10, 82)(11, 106)(12, 108)(13, 83)(14, 86)(15, 109)(16, 110)(17, 85)(18, 114)(19, 116)(20, 87)(21, 90)(22, 117)(23, 118)(24, 89)(25, 112)(26, 111)(27, 91)(28, 93)(29, 97)(30, 105)(31, 107)(32, 96)(33, 120)(34, 119)(35, 98)(36, 100)(37, 104)(38, 113)(39, 115)(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, 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 E18.616
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 17, 57)(12, 52, 18, 58)(13, 53, 15, 55)(14, 54, 16, 56)(19, 59, 25, 65)(20, 60, 26, 66)(21, 61, 23, 63)(22, 62, 24, 64)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 31, 71)(30, 70, 32, 72)(35, 75, 38, 78)(36, 76, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 91, 131, 99, 139, 107, 147, 115, 155, 109, 149, 101, 141, 93, 133, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 118, 158, 113, 153, 105, 145, 97, 137, 89, 129)(84, 124, 92, 132, 100, 140, 108, 148, 116, 156, 117, 157, 110, 150, 102, 142, 94, 134, 86, 126)(88, 128, 96, 136, 104, 144, 112, 152, 119, 159, 120, 160, 114, 154, 106, 146, 98, 138, 90, 130)
	L = (1, 84)(2, 88)(3, 92)(4, 83)(5, 86)(6, 81)(7, 96)(8, 87)(9, 90)(10, 82)(11, 100)(12, 91)(13, 94)(14, 85)(15, 104)(16, 95)(17, 98)(18, 89)(19, 108)(20, 99)(21, 102)(22, 93)(23, 112)(24, 103)(25, 106)(26, 97)(27, 116)(28, 107)(29, 110)(30, 101)(31, 119)(32, 111)(33, 114)(34, 105)(35, 117)(36, 115)(37, 109)(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) :: { ( 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 E18.617
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2^10, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 18, 58)(12, 52, 17, 57)(13, 53, 16, 56)(14, 54, 15, 55)(19, 59, 26, 66)(20, 60, 25, 65)(21, 61, 24, 64)(22, 62, 23, 63)(27, 67, 34, 74)(28, 68, 33, 73)(29, 69, 32, 72)(30, 70, 31, 71)(35, 75, 38, 78)(36, 76, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 91, 131, 99, 139, 107, 147, 115, 155, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 118, 158, 114, 154, 106, 146, 98, 138, 89, 129)(84, 124, 86, 126, 92, 132, 100, 140, 108, 148, 116, 156, 117, 157, 109, 149, 101, 141, 93, 133)(88, 128, 90, 130, 96, 136, 104, 144, 112, 152, 119, 159, 120, 160, 113, 153, 105, 145, 97, 137)
	L = (1, 84)(2, 88)(3, 86)(4, 85)(5, 93)(6, 81)(7, 90)(8, 89)(9, 97)(10, 82)(11, 92)(12, 83)(13, 94)(14, 101)(15, 96)(16, 87)(17, 98)(18, 105)(19, 100)(20, 91)(21, 102)(22, 109)(23, 104)(24, 95)(25, 106)(26, 113)(27, 108)(28, 99)(29, 110)(30, 117)(31, 112)(32, 103)(33, 114)(34, 120)(35, 116)(36, 107)(37, 115)(38, 119)(39, 111)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 E18.618
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y2^3 * Y3^-2, Y2 * Y3^6 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 24, 64)(12, 52, 25, 65)(13, 53, 23, 63)(14, 54, 26, 66)(15, 55, 21, 61)(16, 56, 19, 59)(17, 57, 20, 60)(18, 58, 22, 62)(27, 67, 36, 76)(28, 68, 37, 77)(29, 69, 38, 78)(30, 70, 33, 73)(31, 71, 34, 74)(32, 72, 35, 75)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 94, 134, 108, 148, 119, 159, 111, 151, 98, 138, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 102, 142, 114, 154, 120, 160, 117, 157, 106, 146, 104, 144, 89, 129)(84, 124, 92, 132, 107, 147, 109, 149, 112, 152, 110, 150, 97, 137, 86, 126, 93, 133, 95, 135)(88, 128, 100, 140, 113, 153, 115, 155, 118, 158, 116, 156, 105, 145, 90, 130, 101, 141, 103, 143)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 107)(12, 108)(13, 83)(14, 109)(15, 91)(16, 93)(17, 85)(18, 86)(19, 113)(20, 114)(21, 87)(22, 115)(23, 99)(24, 101)(25, 89)(26, 90)(27, 119)(28, 112)(29, 111)(30, 96)(31, 97)(32, 98)(33, 120)(34, 118)(35, 117)(36, 104)(37, 105)(38, 106)(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) :: { ( 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 E18.619
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^4, (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^5 * Y3^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 10, 50)(5, 45, 9, 49)(6, 46, 8, 48)(11, 51, 18, 58)(12, 52, 20, 60)(13, 53, 19, 59)(14, 54, 21, 61)(15, 55, 24, 64)(16, 56, 23, 63)(17, 57, 22, 62)(25, 65, 33, 73)(26, 66, 35, 75)(27, 67, 34, 74)(28, 68, 36, 76)(29, 69, 37, 77)(30, 70, 40, 80)(31, 71, 39, 79)(32, 72, 38, 78)(81, 121, 83, 123, 91, 131, 105, 145, 109, 149, 94, 134, 108, 148, 111, 151, 96, 136, 85, 125)(82, 122, 87, 127, 98, 138, 113, 153, 117, 157, 101, 141, 116, 156, 119, 159, 103, 143, 89, 129)(84, 124, 92, 132, 106, 146, 112, 152, 97, 137, 86, 126, 93, 133, 107, 147, 110, 150, 95, 135)(88, 128, 99, 139, 114, 154, 120, 160, 104, 144, 90, 130, 100, 140, 115, 155, 118, 158, 102, 142)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 99)(8, 101)(9, 102)(10, 82)(11, 106)(12, 108)(13, 83)(14, 86)(15, 109)(16, 110)(17, 85)(18, 114)(19, 116)(20, 87)(21, 90)(22, 117)(23, 118)(24, 89)(25, 112)(26, 111)(27, 91)(28, 93)(29, 97)(30, 105)(31, 107)(32, 96)(33, 120)(34, 119)(35, 98)(36, 100)(37, 104)(38, 113)(39, 115)(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, 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 E18.622
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, R * Y2 * R * Y1 * Y2, Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 7, 47)(5, 45, 8, 48)(9, 49, 15, 55)(10, 50, 11, 51)(12, 52, 13, 53)(14, 54, 16, 56)(17, 57, 23, 63)(18, 58, 19, 59)(20, 60, 21, 61)(22, 62, 24, 64)(25, 65, 31, 71)(26, 66, 27, 67)(28, 68, 29, 69)(30, 70, 32, 72)(33, 73, 38, 78)(34, 74, 35, 75)(36, 76, 37, 77)(39, 79, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 86, 126, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 91, 131, 98, 138, 107, 147, 114, 154, 120, 160, 116, 156, 108, 148, 100, 140, 92, 132)(87, 127, 90, 130, 99, 139, 106, 146, 115, 155, 119, 159, 117, 157, 109, 149, 101, 141, 93, 133)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 93)(6, 91)(7, 82)(8, 92)(9, 98)(10, 83)(11, 86)(12, 88)(13, 85)(14, 100)(15, 99)(16, 101)(17, 106)(18, 89)(19, 95)(20, 94)(21, 96)(22, 109)(23, 107)(24, 108)(25, 114)(26, 97)(27, 103)(28, 104)(29, 102)(30, 116)(31, 115)(32, 117)(33, 119)(34, 105)(35, 111)(36, 110)(37, 112)(38, 120)(39, 113)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 40, 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.621
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y1, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-2 * R)^2, Y2^10, (Y2^-1 * Y1)^20 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 15, 55)(10, 50, 14, 54)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 25, 65)(19, 59, 23, 63)(20, 60, 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, 90, 130, 98, 138, 106, 146, 114, 154, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 94, 134, 102, 142, 110, 150, 117, 157, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(87, 127, 93, 133, 101, 141, 109, 149, 116, 156, 120, 160, 118, 158, 111, 151, 103, 143, 95, 135)
	L = (1, 84)(2, 87)(3, 86)(4, 81)(5, 88)(6, 83)(7, 82)(8, 85)(9, 93)(10, 97)(11, 95)(12, 99)(13, 89)(14, 101)(15, 91)(16, 103)(17, 90)(18, 102)(19, 92)(20, 104)(21, 94)(22, 98)(23, 96)(24, 100)(25, 109)(26, 113)(27, 111)(28, 115)(29, 105)(30, 116)(31, 107)(32, 118)(33, 106)(34, 117)(35, 108)(36, 110)(37, 114)(38, 112)(39, 120)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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 E18.620
Graph:: simple bipartite
	v = 24 e = 80 f = 22
	degree seq :: [ 4^20, 20^4 ]

E18.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-5, (Y2 * Y3^-1 * Y1)^2, (Y1^-1 * Y3^2 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 18, 58, 15, 55, 4, 44, 9, 49, 20, 60, 32, 72, 29, 69, 14, 54, 24, 64, 35, 75, 30, 70, 17, 57, 6, 46, 10, 50, 21, 61, 16, 56, 5, 45)(3, 43, 11, 51, 25, 65, 33, 73, 22, 62, 12, 52, 26, 66, 37, 77, 40, 80, 36, 76, 28, 68, 38, 78, 39, 79, 34, 74, 23, 63, 13, 53, 27, 67, 31, 71, 19, 59, 8, 48)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 93, 133)(85, 125, 91, 131)(86, 126, 92, 132)(87, 127, 99, 139)(89, 129, 103, 143)(90, 130, 102, 142)(94, 134, 108, 148)(95, 135, 107, 147)(96, 136, 105, 145)(97, 137, 106, 146)(98, 138, 111, 151)(100, 140, 114, 154)(101, 141, 113, 153)(104, 144, 116, 156)(109, 149, 118, 158)(110, 150, 117, 157)(112, 152, 119, 159)(115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 104)(10, 82)(11, 106)(12, 108)(13, 83)(14, 86)(15, 109)(16, 98)(17, 85)(18, 112)(19, 113)(20, 115)(21, 87)(22, 116)(23, 88)(24, 90)(25, 117)(26, 118)(27, 91)(28, 93)(29, 97)(30, 96)(31, 105)(32, 110)(33, 120)(34, 99)(35, 101)(36, 103)(37, 119)(38, 107)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.609
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1, (Y2 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^20, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 73, 37, 77, 36, 76, 32, 72, 28, 68, 24, 64, 20, 60, 16, 56, 12, 52, 8, 48, 4, 44)(3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 75, 39, 79, 40, 80, 38, 78, 34, 74, 30, 70, 26, 66, 22, 62, 18, 58, 14, 54, 10, 50, 6, 46)(81, 121, 83, 123)(82, 122, 86, 126)(84, 124, 87, 127)(85, 125, 90, 130)(88, 128, 91, 131)(89, 129, 94, 134)(92, 132, 95, 135)(93, 133, 98, 138)(96, 136, 99, 139)(97, 137, 102, 142)(100, 140, 103, 143)(101, 141, 106, 146)(104, 144, 107, 147)(105, 145, 110, 150)(108, 148, 111, 151)(109, 149, 114, 154)(112, 152, 115, 155)(113, 153, 118, 158)(116, 156, 119, 159)(117, 157, 120, 160)
	L = (1, 82)(2, 85)(3, 87)(4, 81)(5, 89)(6, 83)(7, 91)(8, 84)(9, 93)(10, 86)(11, 95)(12, 88)(13, 97)(14, 90)(15, 99)(16, 92)(17, 101)(18, 94)(19, 103)(20, 96)(21, 105)(22, 98)(23, 107)(24, 100)(25, 109)(26, 102)(27, 111)(28, 104)(29, 113)(30, 106)(31, 115)(32, 108)(33, 117)(34, 110)(35, 119)(36, 112)(37, 116)(38, 114)(39, 120)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.610
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-1 * Y3^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^3 * Y3 * Y2 * Y3^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 17, 57, 29, 69, 26, 66, 14, 54, 6, 46, 10, 50, 20, 60, 32, 72, 27, 67, 15, 55, 4, 44, 9, 49, 19, 59, 31, 71, 28, 68, 16, 56, 5, 45)(3, 43, 11, 51, 23, 63, 35, 75, 40, 80, 34, 74, 22, 62, 13, 53, 25, 65, 37, 77, 39, 79, 33, 73, 21, 61, 12, 52, 24, 64, 36, 76, 38, 78, 30, 70, 18, 58, 8, 48)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 93, 133)(85, 125, 91, 131)(86, 126, 92, 132)(87, 127, 98, 138)(89, 129, 102, 142)(90, 130, 101, 141)(94, 134, 104, 144)(95, 135, 105, 145)(96, 136, 103, 143)(97, 137, 110, 150)(99, 139, 114, 154)(100, 140, 113, 153)(106, 146, 116, 156)(107, 147, 117, 157)(108, 148, 115, 155)(109, 149, 118, 158)(111, 151, 120, 160)(112, 152, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 94)(5, 95)(6, 81)(7, 99)(8, 101)(9, 86)(10, 82)(11, 104)(12, 102)(13, 83)(14, 85)(15, 106)(16, 107)(17, 111)(18, 113)(19, 90)(20, 87)(21, 114)(22, 88)(23, 116)(24, 93)(25, 91)(26, 96)(27, 109)(28, 112)(29, 108)(30, 119)(31, 100)(32, 97)(33, 120)(34, 98)(35, 118)(36, 105)(37, 103)(38, 117)(39, 115)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.611
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 20})
Quotient :: dipole
Aut^+ = D40 (small group id <40, 6>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-1 * Y1^-3, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-1 * Y3^3 * Y1, (Y3^3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 6, 46, 10, 50, 18, 58, 16, 56, 22, 62, 30, 70, 28, 68, 34, 74, 26, 66, 33, 73, 27, 67, 14, 54, 21, 61, 15, 55, 4, 44, 9, 49, 5, 45)(3, 43, 11, 51, 20, 60, 13, 53, 23, 63, 32, 72, 25, 65, 35, 75, 40, 80, 37, 77, 39, 79, 36, 76, 38, 78, 31, 71, 24, 64, 29, 69, 19, 59, 12, 52, 17, 57, 8, 48)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 93, 133)(85, 125, 91, 131)(86, 126, 92, 132)(87, 127, 97, 137)(89, 129, 100, 140)(90, 130, 99, 139)(94, 134, 105, 145)(95, 135, 103, 143)(96, 136, 104, 144)(98, 138, 109, 149)(101, 141, 112, 152)(102, 142, 111, 151)(106, 146, 117, 157)(107, 147, 115, 155)(108, 148, 116, 156)(110, 150, 118, 158)(113, 153, 120, 160)(114, 154, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 94)(5, 95)(6, 81)(7, 85)(8, 99)(9, 101)(10, 82)(11, 97)(12, 104)(13, 83)(14, 106)(15, 107)(16, 86)(17, 109)(18, 87)(19, 111)(20, 88)(21, 113)(22, 90)(23, 91)(24, 116)(25, 93)(26, 110)(27, 114)(28, 96)(29, 118)(30, 98)(31, 119)(32, 100)(33, 108)(34, 102)(35, 103)(36, 120)(37, 105)(38, 117)(39, 115)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.612
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y1^-1 * Y2 * Y3 * Y1 * Y3, Y1^10 * Y2, (Y1^-1 * Y2 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 15, 55, 23, 63, 31, 71, 35, 75, 27, 67, 19, 59, 10, 50, 3, 43, 7, 47, 16, 56, 24, 64, 32, 72, 38, 78, 30, 70, 22, 62, 14, 54, 5, 45)(4, 44, 11, 51, 17, 57, 26, 66, 33, 73, 40, 80, 37, 77, 29, 69, 21, 61, 13, 53, 9, 49, 8, 48, 18, 58, 25, 65, 34, 74, 39, 79, 36, 76, 28, 68, 20, 60, 12, 52)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 89, 129)(85, 125, 90, 130)(86, 126, 96, 136)(88, 128, 91, 131)(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, 88)(3, 89)(4, 81)(5, 93)(6, 97)(7, 91)(8, 82)(9, 83)(10, 92)(11, 87)(12, 90)(13, 85)(14, 100)(15, 105)(16, 98)(17, 86)(18, 96)(19, 101)(20, 94)(21, 99)(22, 109)(23, 113)(24, 106)(25, 95)(26, 104)(27, 108)(28, 107)(29, 102)(30, 116)(31, 119)(32, 114)(33, 103)(34, 112)(35, 117)(36, 110)(37, 115)(38, 120)(39, 111)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.615
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y3, (R * Y3)^2, Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^-9, (Y1^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 13, 53, 21, 61, 29, 69, 37, 77, 33, 73, 25, 65, 17, 57, 9, 49, 16, 56, 24, 64, 32, 72, 40, 80, 36, 76, 28, 68, 20, 60, 12, 52, 5, 45)(3, 43, 8, 48, 14, 54, 23, 63, 30, 70, 39, 79, 35, 75, 27, 67, 19, 59, 11, 51, 4, 44, 7, 47, 15, 55, 22, 62, 31, 71, 38, 78, 34, 74, 26, 66, 18, 58, 10, 50)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 89, 129)(85, 125, 91, 131)(86, 126, 94, 134)(88, 128, 96, 136)(90, 130, 97, 137)(92, 132, 98, 138)(93, 133, 102, 142)(95, 135, 104, 144)(99, 139, 105, 145)(100, 140, 107, 147)(101, 141, 110, 150)(103, 143, 112, 152)(106, 146, 113, 153)(108, 148, 114, 154)(109, 149, 118, 158)(111, 151, 120, 160)(115, 155, 117, 157)(116, 156, 119, 159)
	L = (1, 84)(2, 88)(3, 89)(4, 81)(5, 90)(6, 95)(7, 96)(8, 82)(9, 83)(10, 85)(11, 97)(12, 99)(13, 103)(14, 104)(15, 86)(16, 87)(17, 91)(18, 105)(19, 92)(20, 106)(21, 111)(22, 112)(23, 93)(24, 94)(25, 98)(26, 100)(27, 113)(28, 115)(29, 119)(30, 120)(31, 101)(32, 102)(33, 107)(34, 117)(35, 108)(36, 118)(37, 114)(38, 116)(39, 109)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.614
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y2^2, R^2, (Y2 * Y3^-1)^2, (Y1^-1, Y3), Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^-5 * Y3, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1, Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, (Y1^-1 * Y3^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 20, 60, 16, 56, 4, 44, 9, 49, 22, 62, 36, 76, 30, 70, 15, 55, 28, 68, 40, 80, 34, 74, 19, 59, 6, 46, 10, 50, 23, 63, 18, 58, 5, 45)(3, 43, 11, 51, 21, 61, 37, 77, 29, 69, 12, 52, 27, 67, 38, 78, 33, 73, 17, 57, 26, 66, 8, 48, 24, 64, 35, 75, 32, 72, 14, 54, 25, 65, 39, 79, 31, 71, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 97, 137)(86, 126, 92, 132)(87, 127, 101, 141)(89, 129, 107, 147)(90, 130, 105, 145)(91, 131, 108, 148)(93, 133, 110, 150)(95, 135, 106, 146)(96, 136, 109, 149)(98, 138, 111, 151)(99, 139, 112, 152)(100, 140, 115, 155)(102, 142, 119, 159)(103, 143, 118, 158)(104, 144, 120, 160)(113, 153, 116, 156)(114, 154, 117, 157)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 96)(6, 81)(7, 102)(8, 105)(9, 108)(10, 82)(11, 107)(12, 106)(13, 109)(14, 83)(15, 86)(16, 110)(17, 112)(18, 100)(19, 85)(20, 116)(21, 118)(22, 120)(23, 87)(24, 119)(25, 91)(26, 94)(27, 88)(28, 90)(29, 97)(30, 99)(31, 117)(32, 93)(33, 115)(34, 98)(35, 111)(36, 114)(37, 113)(38, 104)(39, 101)(40, 103)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.613
Graph:: bipartite
	v = 22 e = 80 f = 24
	degree seq :: [ 4^20, 40^2 ]

E18.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2 * Y1^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1, Y1 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-10, Y3^10, Y1^-1 * Y3 * Y1^-3 * Y2^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 19, 59, 29, 69, 37, 77, 33, 73, 26, 66, 17, 57, 5, 45)(3, 43, 13, 53, 20, 60, 11, 51, 24, 64, 30, 70, 40, 80, 34, 74, 28, 68, 16, 56)(4, 44, 10, 50, 7, 47, 12, 52, 22, 62, 31, 71, 39, 79, 36, 76, 27, 67, 14, 54)(6, 46, 18, 58, 21, 61, 32, 72, 38, 78, 35, 75, 25, 65, 15, 55, 23, 63, 9, 49)(81, 121, 83, 123, 94, 134, 105, 145, 113, 153, 120, 160, 111, 151, 101, 141, 88, 128, 100, 140, 90, 130, 103, 143, 97, 137, 108, 148, 116, 156, 118, 158, 109, 149, 104, 144, 92, 132, 86, 126)(82, 122, 89, 129, 84, 124, 96, 136, 106, 146, 115, 155, 119, 159, 110, 150, 99, 139, 98, 138, 87, 127, 93, 133, 85, 125, 95, 135, 107, 147, 114, 154, 117, 157, 112, 152, 102, 142, 91, 131)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 94)(6, 93)(7, 81)(8, 87)(9, 83)(10, 85)(11, 86)(12, 82)(13, 103)(14, 106)(15, 108)(16, 105)(17, 107)(18, 100)(19, 92)(20, 89)(21, 91)(22, 88)(23, 96)(24, 98)(25, 114)(26, 116)(27, 113)(28, 115)(29, 102)(30, 101)(31, 99)(32, 104)(33, 119)(34, 118)(35, 120)(36, 117)(37, 111)(38, 110)(39, 109)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4^20 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E18.608
Graph:: bipartite
	v = 6 e = 80 f = 40
	degree seq :: [ 20^4, 40^2 ]

E18.624 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {20, 20, 20})
Quotient :: edge
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2^3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2, T2 * T1^-2 * T2^-1 * T1^2, T2^6 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 39, 21, 13, 30, 34, 25, 40, 23, 38, 20, 6, 19, 36, 32, 17, 5)(2, 7, 22, 37, 33, 14, 4, 12, 29, 15, 28, 9, 27, 35, 18, 16, 31, 11, 26, 8)(41, 42, 46, 58, 74, 69, 50, 62, 76, 71, 80, 68, 79, 73, 57, 66, 78, 67, 53, 44)(43, 49, 59, 54, 65, 48, 64, 75, 72, 52, 63, 47, 61, 56, 45, 55, 60, 77, 70, 51)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.625
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.625 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {20, 20, 20})
Quotient :: loop
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^2 * T2 * T1 * T2 * T1^5, T2^-1 * T1^-4 * T2^-2 * T1^-1 * T2^-1 * T1^-1, T2^-5 * T1^-1 * T2^-3 * T1^-1, T1^20 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 6, 46, 15, 55, 26, 66, 38, 78, 36, 76, 24, 64, 32, 72, 18, 58, 31, 71, 17, 57, 30, 70, 16, 56, 29, 69, 39, 79, 33, 73, 23, 63, 11, 51, 5, 45)(2, 42, 7, 47, 14, 54, 27, 67, 37, 77, 35, 75, 25, 65, 13, 53, 21, 61, 10, 50, 20, 60, 9, 49, 19, 59, 28, 68, 40, 80, 34, 74, 22, 62, 12, 52, 4, 44, 8, 48)
	L = (1, 42)(2, 46)(3, 49)(4, 41)(5, 50)(6, 54)(7, 56)(8, 57)(9, 55)(10, 43)(11, 44)(12, 58)(13, 45)(14, 66)(15, 68)(16, 67)(17, 47)(18, 48)(19, 69)(20, 70)(21, 71)(22, 51)(23, 53)(24, 52)(25, 72)(26, 77)(27, 79)(28, 78)(29, 80)(30, 59)(31, 60)(32, 61)(33, 62)(34, 64)(35, 63)(36, 65)(37, 76)(38, 74)(39, 75)(40, 73)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.624
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-4, Y3^2 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2^-2 * Y1^2 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^2 * Y1^14 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 18, 58, 34, 74, 29, 69, 10, 50, 22, 62, 36, 76, 31, 71, 40, 80, 28, 68, 39, 79, 33, 73, 17, 57, 26, 66, 38, 78, 27, 67, 13, 53, 4, 44)(3, 43, 9, 49, 19, 59, 14, 54, 25, 65, 8, 48, 24, 64, 35, 75, 32, 72, 12, 52, 23, 63, 7, 47, 21, 61, 16, 56, 5, 45, 15, 55, 20, 60, 37, 77, 30, 70, 11, 51)(81, 121, 83, 123, 90, 130, 104, 144, 119, 159, 101, 141, 93, 133, 110, 150, 114, 154, 105, 145, 120, 160, 103, 143, 118, 158, 100, 140, 86, 126, 99, 139, 116, 156, 112, 152, 97, 137, 85, 125)(82, 122, 87, 127, 102, 142, 117, 157, 113, 153, 94, 134, 84, 124, 92, 132, 109, 149, 95, 135, 108, 148, 89, 129, 107, 147, 115, 155, 98, 138, 96, 136, 111, 151, 91, 131, 106, 146, 88, 128)
	L = (1, 84)(2, 81)(3, 91)(4, 93)(5, 96)(6, 82)(7, 103)(8, 105)(9, 83)(10, 109)(11, 110)(12, 112)(13, 107)(14, 99)(15, 85)(16, 101)(17, 113)(18, 86)(19, 89)(20, 95)(21, 87)(22, 90)(23, 92)(24, 88)(25, 94)(26, 97)(27, 118)(28, 120)(29, 114)(30, 117)(31, 116)(32, 115)(33, 119)(34, 98)(35, 104)(36, 102)(37, 100)(38, 106)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E18.627
Graph:: bipartite
	v = 4 e = 80 f = 42
	degree seq :: [ 40^4 ]

E18.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {20, 20, 20})
Quotient :: dipole
Aut^+ = C5 x Q8 (small group id <40, 11>)
Aut   = (C4 x D10) : C2 (small group id <80, 42>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^-2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-2 * Y3^3 * Y2^-1 * Y3 * Y2^-3, Y2^-1 * Y3^4 * Y2^-1 * Y3^-1 * Y2^4 * Y3^-1, (Y3 * Y2^-1)^20, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 94, 134, 106, 146, 117, 157, 116, 156, 103, 143, 111, 151, 99, 139, 109, 149, 100, 140, 110, 150, 105, 145, 112, 152, 120, 160, 113, 153, 102, 142, 90, 130, 84, 124)(83, 123, 89, 129, 85, 125, 93, 133, 95, 135, 108, 148, 118, 158, 115, 155, 104, 144, 92, 132, 97, 137, 87, 127, 96, 136, 88, 128, 98, 138, 107, 147, 119, 159, 114, 154, 101, 141, 91, 131)
	L = (1, 83)(2, 87)(3, 90)(4, 92)(5, 81)(6, 85)(7, 84)(8, 82)(9, 99)(10, 101)(11, 103)(12, 102)(13, 100)(14, 88)(15, 86)(16, 109)(17, 111)(18, 110)(19, 91)(20, 89)(21, 113)(22, 115)(23, 114)(24, 116)(25, 93)(26, 95)(27, 94)(28, 105)(29, 97)(30, 96)(31, 104)(32, 98)(33, 119)(34, 117)(35, 120)(36, 118)(37, 107)(38, 106)(39, 112)(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) :: { ( 40, 40 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E18.626
Graph:: simple bipartite
	v = 42 e = 80 f = 4
	degree seq :: [ 2^40, 40^2 ]

E18.628 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^10, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 36, 28, 35, 40, 38, 30, 37, 39, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(41, 42, 46, 54, 62, 70, 68, 60, 51, 44)(43, 47, 55, 63, 71, 77, 75, 67, 59, 50)(45, 48, 56, 64, 72, 78, 76, 69, 61, 52)(49, 53, 57, 65, 73, 79, 80, 74, 66, 58)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 80^10 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E18.634
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 40 f = 1
	degree seq :: [ 10^4, 40 ]

E18.629 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^-10, T1^10, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 38, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 40, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 39, 31, 22, 25, 13, 5)(41, 42, 46, 54, 66, 74, 70, 62, 51, 44)(43, 47, 55, 67, 75, 80, 73, 65, 61, 50)(45, 48, 56, 59, 69, 77, 78, 71, 63, 52)(49, 57, 68, 76, 79, 72, 64, 53, 58, 60)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 80^10 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E18.633
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 40 f = 1
	degree seq :: [ 10^4, 40 ]

E18.630 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^10, T1^10, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 36, 27, 14, 25, 13, 5)(41, 42, 46, 54, 66, 74, 73, 62, 51, 44)(43, 47, 55, 65, 69, 77, 80, 72, 61, 50)(45, 48, 56, 67, 75, 78, 70, 59, 63, 52)(49, 57, 64, 53, 58, 68, 76, 79, 71, 60)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 80^10 ), ( 80^40 ) }
Outer automorphisms :: reflexible
Dual of E18.632
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 40 f = 1
	degree seq :: [ 10^4, 40 ]

E18.631 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 40, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^13, (T2^-1 * T1^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 40, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 35, 29, 23, 17, 11, 5)(41, 42, 46, 43, 47, 52, 49, 53, 58, 55, 59, 64, 61, 65, 70, 67, 71, 76, 73, 77, 80, 79, 75, 78, 74, 69, 72, 68, 63, 66, 62, 57, 60, 56, 51, 54, 50, 45, 48, 44)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.635
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.632 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^4 * T1, T1^10, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 12, 52, 4, 44, 10, 50, 18, 58, 21, 61, 11, 51, 19, 59, 26, 66, 29, 69, 20, 60, 27, 67, 34, 74, 36, 76, 28, 68, 35, 75, 40, 80, 38, 78, 30, 70, 37, 77, 39, 79, 32, 72, 22, 62, 31, 71, 33, 73, 24, 64, 14, 54, 23, 63, 25, 65, 16, 56, 6, 46, 15, 55, 17, 57, 8, 48, 2, 42, 7, 47, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 53)(10, 43)(11, 44)(12, 45)(13, 57)(14, 62)(15, 63)(16, 64)(17, 65)(18, 49)(19, 50)(20, 51)(21, 52)(22, 70)(23, 71)(24, 72)(25, 73)(26, 58)(27, 59)(28, 60)(29, 61)(30, 68)(31, 77)(32, 78)(33, 79)(34, 66)(35, 67)(36, 69)(37, 75)(38, 76)(39, 80)(40, 74)
	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, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 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 E18.630
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 5
	degree seq :: [ 80 ]

E18.633 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^4, T1^-10, T1^10, (T1^-1 * T2^-1)^40 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 14, 54, 27, 67, 36, 76, 38, 78, 30, 70, 33, 73, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 16, 56, 6, 46, 15, 55, 28, 68, 37, 77, 34, 74, 40, 80, 32, 72, 23, 63, 11, 51, 21, 61, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 29, 69, 26, 66, 35, 75, 39, 79, 31, 71, 22, 62, 25, 65, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 59)(17, 68)(18, 60)(19, 69)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 61)(26, 74)(27, 75)(28, 76)(29, 77)(30, 62)(31, 63)(32, 64)(33, 65)(34, 70)(35, 80)(36, 79)(37, 78)(38, 71)(39, 72)(40, 73)
	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, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 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 E18.629
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 5
	degree seq :: [ 80 ]

E18.634 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^4, T1^10, T1^10, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 22, 62, 32, 72, 39, 79, 35, 75, 26, 66, 29, 69, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 23, 63, 11, 51, 21, 61, 31, 71, 38, 78, 34, 74, 37, 77, 28, 68, 16, 56, 6, 46, 15, 55, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 30, 70, 33, 73, 40, 80, 36, 76, 27, 67, 14, 54, 25, 65, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 65)(16, 67)(17, 64)(18, 68)(19, 63)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 69)(26, 74)(27, 75)(28, 76)(29, 77)(30, 59)(31, 60)(32, 61)(33, 62)(34, 73)(35, 78)(36, 79)(37, 80)(38, 70)(39, 71)(40, 72)
	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, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 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 E18.628
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 5
	degree seq :: [ 80 ]

E18.635 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 40, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2 * T1^4, T2^10, T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 29, 69, 21, 61, 13, 53, 5, 45)(2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 38, 78, 32, 72, 24, 64, 16, 56, 8, 48)(4, 44, 10, 50, 18, 58, 26, 66, 34, 74, 39, 79, 36, 76, 28, 68, 20, 60, 12, 52)(6, 46, 11, 51, 19, 59, 27, 67, 35, 75, 40, 80, 37, 77, 30, 70, 22, 62, 14, 54)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 52)(7, 51)(8, 54)(9, 55)(10, 43)(11, 44)(12, 45)(13, 56)(14, 60)(15, 59)(16, 62)(17, 63)(18, 49)(19, 50)(20, 53)(21, 64)(22, 68)(23, 67)(24, 70)(25, 71)(26, 57)(27, 58)(28, 61)(29, 72)(30, 76)(31, 75)(32, 77)(33, 78)(34, 65)(35, 66)(36, 69)(37, 79)(38, 80)(39, 73)(40, 74)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.631
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, Y2^2 * Y3^-1 * Y2^2, Y1^10, 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 * Y3^4 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 22, 62, 30, 70, 28, 68, 20, 60, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 23, 63, 31, 71, 37, 77, 35, 75, 27, 67, 19, 59, 10, 50)(5, 45, 8, 48, 16, 56, 24, 64, 32, 72, 38, 78, 36, 76, 29, 69, 21, 61, 12, 52)(9, 49, 13, 53, 17, 57, 25, 65, 33, 73, 39, 79, 40, 80, 34, 74, 26, 66, 18, 58)(81, 121, 83, 123, 89, 129, 92, 132, 84, 124, 90, 130, 98, 138, 101, 141, 91, 131, 99, 139, 106, 146, 109, 149, 100, 140, 107, 147, 114, 154, 116, 156, 108, 148, 115, 155, 120, 160, 118, 158, 110, 150, 117, 157, 119, 159, 112, 152, 102, 142, 111, 151, 113, 153, 104, 144, 94, 134, 103, 143, 105, 145, 96, 136, 86, 126, 95, 135, 97, 137, 88, 128, 82, 122, 87, 127, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 98)(10, 99)(11, 100)(12, 101)(13, 89)(14, 86)(15, 87)(16, 88)(17, 93)(18, 106)(19, 107)(20, 108)(21, 109)(22, 94)(23, 95)(24, 96)(25, 97)(26, 114)(27, 115)(28, 110)(29, 116)(30, 102)(31, 103)(32, 104)(33, 105)(34, 120)(35, 117)(36, 118)(37, 111)(38, 112)(39, 113)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.643
Graph:: bipartite
	v = 5 e = 80 f = 41
	degree seq :: [ 20^4, 80 ]

E18.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y2^-1 * Y3 * Y2, Y1 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-2, Y1^-3 * Y2^4, Y1^10, Y1^4 * Y3^-6, (Y2^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 34, 74, 30, 70, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 35, 75, 40, 80, 33, 73, 25, 65, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 19, 59, 29, 69, 37, 77, 38, 78, 31, 71, 23, 63, 12, 52)(9, 49, 17, 57, 28, 68, 36, 76, 39, 79, 32, 72, 24, 64, 13, 53, 18, 58, 20, 60)(81, 121, 83, 123, 89, 129, 99, 139, 94, 134, 107, 147, 116, 156, 118, 158, 110, 150, 113, 153, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 96, 136, 86, 126, 95, 135, 108, 148, 117, 157, 114, 154, 120, 160, 112, 152, 103, 143, 91, 131, 101, 141, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 109, 149, 106, 146, 115, 155, 119, 159, 111, 151, 102, 142, 105, 145, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 96)(20, 98)(21, 105)(22, 110)(23, 111)(24, 112)(25, 113)(26, 94)(27, 95)(28, 97)(29, 99)(30, 114)(31, 118)(32, 119)(33, 120)(34, 106)(35, 107)(36, 108)(37, 109)(38, 117)(39, 116)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.642
Graph:: bipartite
	v = 5 e = 80 f = 41
	degree seq :: [ 20^4, 80 ]

E18.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^2 * Y1 * Y2^2 * Y1 * Y3^-1, Y2^2 * Y1^2 * Y2 * Y3^-1 * Y2, Y1^10, Y1^4 * Y2^-1 * Y1 * Y3^-2 * Y2^-3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 34, 74, 33, 73, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 25, 65, 29, 69, 37, 77, 40, 80, 32, 72, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 27, 67, 35, 75, 38, 78, 30, 70, 19, 59, 23, 63, 12, 52)(9, 49, 17, 57, 24, 64, 13, 53, 18, 58, 28, 68, 36, 76, 39, 79, 31, 71, 20, 60)(81, 121, 83, 123, 89, 129, 99, 139, 102, 142, 112, 152, 119, 159, 115, 155, 106, 146, 109, 149, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 103, 143, 91, 131, 101, 141, 111, 151, 118, 158, 114, 154, 117, 157, 108, 148, 96, 136, 86, 126, 95, 135, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 110, 150, 113, 153, 120, 160, 116, 156, 107, 147, 94, 134, 105, 145, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 110)(20, 111)(21, 112)(22, 113)(23, 99)(24, 97)(25, 95)(26, 94)(27, 96)(28, 98)(29, 105)(30, 118)(31, 119)(32, 120)(33, 114)(34, 106)(35, 107)(36, 108)(37, 109)(38, 115)(39, 116)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.641
Graph:: bipartite
	v = 5 e = 80 f = 41
	degree seq :: [ 20^4, 80 ]

E18.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^-1 * Y1 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^13 * Y2, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 12, 52, 18, 58, 24, 64, 30, 70, 36, 76, 35, 75, 29, 69, 23, 63, 17, 57, 11, 51, 5, 45, 8, 48, 14, 54, 20, 60, 26, 66, 32, 72, 38, 78, 40, 80, 39, 79, 33, 73, 27, 67, 21, 61, 15, 55, 9, 49, 3, 43, 7, 47, 13, 53, 19, 59, 25, 65, 31, 71, 37, 77, 34, 74, 28, 68, 22, 62, 16, 56, 10, 50, 4, 44)(81, 121, 83, 123, 88, 128, 82, 122, 87, 127, 94, 134, 86, 126, 93, 133, 100, 140, 92, 132, 99, 139, 106, 146, 98, 138, 105, 145, 112, 152, 104, 144, 111, 151, 118, 158, 110, 150, 117, 157, 120, 160, 116, 156, 114, 154, 119, 159, 115, 155, 108, 148, 113, 153, 109, 149, 102, 142, 107, 147, 103, 143, 96, 136, 101, 141, 97, 137, 90, 130, 95, 135, 91, 131, 84, 124, 89, 129, 85, 125)
	L = (1, 83)(2, 87)(3, 88)(4, 89)(5, 81)(6, 93)(7, 94)(8, 82)(9, 85)(10, 95)(11, 84)(12, 99)(13, 100)(14, 86)(15, 91)(16, 101)(17, 90)(18, 105)(19, 106)(20, 92)(21, 97)(22, 107)(23, 96)(24, 111)(25, 112)(26, 98)(27, 103)(28, 113)(29, 102)(30, 117)(31, 118)(32, 104)(33, 109)(34, 119)(35, 108)(36, 114)(37, 120)(38, 110)(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) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E18.640
Graph:: bipartite
	v = 2 e = 80 f = 44
	degree seq :: [ 80^2 ]

E18.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y3^-4 * Y2, Y2^10, 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^-2 * Y2^-2 * Y3, (Y3^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 94, 134, 102, 142, 110, 150, 107, 147, 99, 139, 91, 131, 84, 124)(83, 123, 87, 127, 95, 135, 103, 143, 111, 151, 117, 157, 114, 154, 106, 146, 98, 138, 90, 130)(85, 125, 88, 128, 96, 136, 104, 144, 112, 152, 118, 158, 115, 155, 108, 148, 100, 140, 92, 132)(89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 120, 160, 116, 156, 109, 149, 101, 141, 93, 133)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 88)(10, 93)(11, 98)(12, 84)(13, 85)(14, 103)(15, 105)(16, 86)(17, 96)(18, 101)(19, 106)(20, 91)(21, 92)(22, 111)(23, 113)(24, 94)(25, 104)(26, 109)(27, 114)(28, 99)(29, 100)(30, 117)(31, 119)(32, 102)(33, 112)(34, 116)(35, 107)(36, 108)(37, 120)(38, 110)(39, 118)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E18.639
Graph:: simple bipartite
	v = 44 e = 80 f = 2
	degree seq :: [ 2^40, 20^4 ]

E18.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1^-1), Y1 * Y3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3, Y1 * Y3^-1 * Y1 * Y3^-3 * Y1^2 * Y3^-5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 12, 52, 5, 45, 8, 48, 14, 54, 20, 60, 13, 53, 16, 56, 22, 62, 28, 68, 21, 61, 24, 64, 30, 70, 36, 76, 29, 69, 32, 72, 37, 77, 39, 79, 33, 73, 38, 78, 40, 80, 34, 74, 25, 65, 31, 71, 35, 75, 26, 66, 17, 57, 23, 63, 27, 67, 18, 58, 9, 49, 15, 55, 19, 59, 10, 50, 3, 43, 7, 47, 11, 51, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 91)(7, 95)(8, 82)(9, 97)(10, 98)(11, 99)(12, 84)(13, 85)(14, 86)(15, 103)(16, 88)(17, 105)(18, 106)(19, 107)(20, 92)(21, 93)(22, 94)(23, 111)(24, 96)(25, 113)(26, 114)(27, 115)(28, 100)(29, 101)(30, 102)(31, 118)(32, 104)(33, 109)(34, 119)(35, 120)(36, 108)(37, 110)(38, 112)(39, 116)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.638
Graph:: bipartite
	v = 41 e = 80 f = 5
	degree seq :: [ 2^40, 80 ]

E18.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^3, Y3^10, (Y3 * Y2^-1)^10, Y3^30, Y3^40, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-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, 41, 2, 42, 6, 46, 14, 54, 19, 59, 28, 68, 35, 75, 40, 80, 33, 73, 30, 70, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 20, 60, 9, 49, 17, 57, 27, 67, 34, 74, 37, 77, 38, 78, 31, 71, 24, 64, 13, 53, 18, 58, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 26, 66, 29, 69, 36, 76, 39, 79, 32, 72, 25, 65, 22, 62, 11, 51, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 106)(15, 107)(16, 86)(17, 108)(18, 88)(19, 109)(20, 94)(21, 96)(22, 98)(23, 91)(24, 92)(25, 93)(26, 114)(27, 115)(28, 116)(29, 117)(30, 102)(31, 103)(32, 104)(33, 105)(34, 120)(35, 119)(36, 118)(37, 113)(38, 110)(39, 111)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.637
Graph:: bipartite
	v = 41 e = 80 f = 5
	degree seq :: [ 2^40, 80 ]

E18.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 40, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^3 * Y1^4, Y3^10, Y3^10, Y3^-1 * Y1 * Y3^-2 * Y1^2 * Y3^-4 * Y1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 25, 65, 28, 68, 35, 75, 38, 78, 29, 69, 32, 72, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 24, 64, 13, 53, 18, 58, 27, 67, 34, 74, 37, 77, 40, 80, 31, 71, 20, 60, 9, 49, 17, 57, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 26, 66, 33, 73, 36, 76, 39, 79, 30, 70, 19, 59, 22, 62, 11, 51, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 104)(15, 103)(16, 86)(17, 102)(18, 88)(19, 109)(20, 110)(21, 111)(22, 112)(23, 91)(24, 92)(25, 93)(26, 94)(27, 96)(28, 98)(29, 117)(30, 118)(31, 119)(32, 120)(33, 105)(34, 106)(35, 107)(36, 108)(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) :: { ( 20, 80 ), ( 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80, 20, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.636
Graph:: bipartite
	v = 41 e = 80 f = 5
	degree seq :: [ 2^40, 80 ]

E18.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 10, 52)(5, 47, 9, 51)(6, 48, 8, 50)(11, 53, 17, 59)(12, 54, 19, 61)(13, 55, 18, 60)(14, 56, 22, 64)(15, 57, 21, 63)(16, 58, 20, 62)(23, 65, 29, 71)(24, 66, 31, 73)(25, 67, 30, 72)(26, 68, 34, 76)(27, 69, 33, 75)(28, 70, 32, 74)(35, 77, 40, 82)(36, 78, 39, 81)(37, 79, 42, 84)(38, 80, 41, 83)(85, 127, 87, 129, 95, 137, 107, 149, 111, 153, 99, 141, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 117, 159, 105, 147, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 121, 163, 110, 152, 98, 140)(90, 132, 97, 139, 109, 151, 120, 162, 122, 164, 112, 154, 100, 142)(92, 134, 102, 144, 114, 156, 123, 165, 125, 167, 116, 158, 104, 146)(94, 136, 103, 145, 115, 157, 124, 166, 126, 168, 118, 160, 106, 148)
	L = (1, 88)(2, 92)(3, 96)(4, 90)(5, 98)(6, 85)(7, 102)(8, 94)(9, 104)(10, 86)(11, 108)(12, 97)(13, 87)(14, 100)(15, 110)(16, 89)(17, 114)(18, 103)(19, 91)(20, 106)(21, 116)(22, 93)(23, 119)(24, 109)(25, 95)(26, 112)(27, 121)(28, 99)(29, 123)(30, 115)(31, 101)(32, 118)(33, 125)(34, 105)(35, 120)(36, 107)(37, 122)(38, 111)(39, 124)(40, 113)(41, 126)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.645
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 33, 75, 32, 74, 18, 60, 6, 48, 10, 52, 22, 64, 36, 78, 40, 82, 28, 70, 15, 57, 4, 46, 9, 51, 21, 63, 35, 77, 31, 73, 17, 59, 5, 47)(3, 45, 11, 53, 25, 67, 34, 76, 42, 84, 30, 72, 27, 69, 14, 56, 8, 50, 23, 65, 38, 80, 41, 83, 29, 71, 16, 58, 12, 54, 24, 66, 20, 62, 37, 79, 39, 81, 26, 68, 13, 55)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 98, 140)(89, 131, 100, 142)(90, 132, 96, 138)(91, 133, 104, 146)(93, 135, 108, 150)(94, 136, 95, 137)(97, 139, 99, 141)(101, 143, 114, 156)(102, 144, 111, 153)(103, 145, 118, 160)(105, 147, 109, 151)(106, 148, 107, 149)(110, 152, 116, 158)(112, 154, 113, 155)(115, 157, 123, 165)(117, 159, 125, 167)(119, 161, 122, 164)(120, 162, 121, 163)(124, 166, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 90)(5, 99)(6, 85)(7, 105)(8, 95)(9, 94)(10, 86)(11, 108)(12, 98)(13, 100)(14, 87)(15, 102)(16, 111)(17, 112)(18, 89)(19, 119)(20, 107)(21, 106)(22, 91)(23, 109)(24, 92)(25, 104)(26, 113)(27, 97)(28, 116)(29, 114)(30, 110)(31, 124)(32, 101)(33, 115)(34, 121)(35, 120)(36, 103)(37, 122)(38, 118)(39, 125)(40, 117)(41, 126)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.644
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.646 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y2)^3, Y1^3 * Y3 * Y1^-4 * Y2, Y1^2 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-3 * Y3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-3, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 67, 25, 74, 32, 62, 20, 52, 10, 59, 17, 70, 28, 80, 38, 84, 42, 77, 35, 65, 23, 54, 12, 60, 18, 71, 29, 78, 36, 66, 24, 55, 13, 47, 5, 43)(3, 51, 9, 61, 19, 73, 31, 69, 27, 58, 16, 50, 8, 46, 4, 53, 11, 64, 22, 76, 34, 83, 41, 81, 39, 72, 30, 63, 21, 75, 33, 82, 40, 79, 37, 68, 26, 57, 15, 49, 7, 45)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 29)(17, 30)(20, 33)(22, 35)(24, 31)(25, 37)(27, 36)(28, 39)(32, 40)(34, 42)(38, 41)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 59)(51, 62)(54, 63)(55, 64)(56, 69)(57, 70)(60, 72)(61, 74)(65, 75)(66, 76)(67, 73)(68, 80)(71, 81)(77, 82)(78, 83)(79, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.649
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.647 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3, Y1^-3 * Y2 * Y3 * Y1^-7, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^5 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 64, 22, 72, 30, 80, 38, 77, 35, 69, 27, 61, 19, 52, 10, 54, 12, 59, 17, 67, 25, 75, 33, 83, 41, 79, 37, 71, 29, 63, 21, 55, 13, 47, 5, 43)(3, 51, 9, 60, 18, 68, 26, 76, 34, 82, 40, 74, 32, 66, 24, 58, 16, 50, 8, 46, 4, 53, 11, 62, 20, 70, 28, 78, 36, 84, 42, 81, 39, 73, 31, 65, 23, 57, 15, 49, 7, 45)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 17)(10, 11)(13, 18)(14, 23)(16, 25)(19, 20)(21, 26)(22, 31)(24, 33)(27, 28)(29, 34)(30, 39)(32, 41)(35, 36)(37, 40)(38, 42)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 54)(51, 61)(55, 62)(56, 66)(57, 59)(60, 69)(63, 70)(64, 74)(65, 67)(68, 77)(71, 78)(72, 82)(73, 75)(76, 80)(79, 84)(81, 83)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.651
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.648 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y2 * Y1^-3 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 52, 10, 59, 17, 66, 24, 73, 31, 69, 27, 75, 33, 82, 40, 84, 42, 79, 37, 72, 30, 76, 34, 70, 28, 63, 21, 54, 12, 60, 18, 55, 13, 47, 5, 43)(3, 51, 9, 58, 16, 50, 8, 46, 4, 53, 11, 62, 20, 68, 26, 64, 22, 71, 29, 78, 36, 83, 41, 80, 38, 77, 35, 81, 39, 74, 32, 67, 25, 61, 19, 65, 23, 57, 15, 49, 7, 45)
	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, 38)(36, 42)(40, 41)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 59)(51, 56)(54, 64)(55, 62)(57, 66)(60, 68)(61, 69)(63, 71)(65, 73)(67, 75)(70, 78)(72, 80)(74, 82)(76, 83)(77, 79)(81, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.650
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.649 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y2)^3, Y1^7, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 66, 24, 55, 13, 47, 5, 43)(3, 51, 9, 61, 19, 72, 30, 67, 25, 57, 15, 49, 7, 45)(4, 53, 11, 64, 22, 75, 33, 68, 26, 58, 16, 50, 8, 46)(10, 59, 17, 69, 27, 77, 35, 80, 38, 73, 31, 62, 20, 52)(12, 60, 18, 70, 28, 78, 36, 82, 40, 76, 34, 65, 23, 54)(21, 74, 32, 81, 39, 84, 42, 83, 41, 79, 37, 71, 29, 63)
	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, 30)(26, 36)(27, 37)(31, 39)(33, 40)(35, 41)(38, 42)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 59)(51, 62)(54, 63)(55, 64)(56, 68)(57, 69)(60, 71)(61, 73)(65, 74)(66, 75)(67, 77)(70, 79)(72, 80)(76, 81)(78, 83)(82, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.646
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.650 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1)^2, Y1^7, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 67, 25, 55, 13, 47, 5, 43)(3, 51, 9, 61, 19, 74, 32, 68, 26, 57, 15, 49, 7, 45)(4, 53, 11, 64, 22, 76, 34, 69, 27, 58, 16, 50, 8, 46)(10, 59, 17, 70, 28, 79, 37, 82, 40, 75, 33, 62, 20, 52)(12, 60, 18, 71, 29, 80, 38, 83, 41, 77, 35, 65, 23, 54)(21, 73, 31, 66, 24, 78, 36, 84, 42, 81, 39, 72, 30, 63)
	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, 31)(22, 35)(24, 33)(25, 32)(27, 38)(28, 39)(34, 41)(36, 40)(37, 42)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 59)(51, 62)(54, 66)(55, 64)(56, 69)(57, 70)(60, 73)(61, 75)(63, 71)(65, 78)(67, 76)(68, 79)(72, 80)(74, 82)(77, 84)(81, 83)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.648
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.651 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: halfedge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|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 * Y3 * Y2 * Y3 * Y2 * Y1^-1, (Y2 * Y1 * Y3)^21 ]
Map:: non-degenerate
	R = (1, 44, 2, 48, 6, 56, 14, 67, 25, 55, 13, 47, 5, 43)(3, 51, 9, 61, 19, 74, 32, 68, 26, 57, 15, 49, 7, 45)(4, 53, 11, 64, 22, 78, 36, 69, 27, 58, 16, 50, 8, 46)(10, 59, 17, 70, 28, 79, 37, 82, 40, 75, 33, 62, 20, 52)(12, 60, 18, 71, 29, 80, 38, 84, 42, 77, 35, 65, 23, 54)(21, 76, 34, 83, 41, 81, 39, 73, 31, 66, 24, 72, 30, 63)
	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, 35)(24, 28)(25, 32)(27, 38)(31, 37)(33, 41)(36, 42)(39, 40)(43, 46)(44, 50)(45, 52)(47, 53)(48, 58)(49, 59)(51, 62)(54, 66)(55, 64)(56, 69)(57, 70)(60, 73)(61, 75)(63, 77)(65, 72)(67, 78)(68, 79)(71, 81)(74, 82)(76, 84)(80, 83)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.647
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.652 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^7, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 23, 65, 24, 66, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 29, 71, 30, 72, 18, 60, 8, 50)(3, 45, 10, 52, 21, 63, 33, 75, 34, 76, 22, 64, 11, 53)(6, 48, 15, 57, 27, 69, 37, 79, 38, 80, 28, 70, 16, 58)(9, 51, 19, 61, 31, 73, 39, 81, 40, 82, 32, 74, 20, 62)(14, 56, 25, 67, 35, 77, 41, 83, 42, 84, 36, 78, 26, 68)(85, 86)(87, 93)(88, 92)(89, 91)(90, 98)(94, 104)(95, 103)(96, 102)(97, 101)(99, 110)(100, 109)(105, 116)(106, 115)(107, 114)(108, 113)(111, 120)(112, 119)(117, 124)(118, 123)(121, 126)(122, 125)(127, 129)(128, 132)(130, 137)(131, 136)(133, 142)(134, 141)(135, 140)(138, 148)(139, 147)(143, 154)(144, 153)(145, 152)(146, 151)(149, 160)(150, 159)(155, 164)(156, 163)(157, 162)(158, 161)(165, 168)(166, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.661
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.653 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|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, Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^21 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 24, 66, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 32, 74, 18, 60, 8, 50)(3, 45, 10, 52, 22, 64, 35, 77, 36, 78, 23, 65, 11, 53)(6, 48, 15, 57, 29, 71, 39, 81, 40, 82, 30, 72, 16, 58)(9, 51, 20, 62, 26, 68, 37, 79, 42, 84, 34, 76, 21, 63)(14, 56, 27, 69, 19, 61, 33, 75, 41, 83, 38, 80, 28, 70)(85, 86)(87, 93)(88, 92)(89, 91)(90, 98)(94, 105)(95, 104)(96, 102)(97, 101)(99, 112)(100, 111)(103, 114)(106, 118)(107, 110)(108, 116)(109, 115)(113, 122)(117, 124)(119, 126)(120, 121)(123, 125)(127, 129)(128, 132)(130, 137)(131, 136)(133, 142)(134, 141)(135, 145)(138, 149)(139, 148)(140, 152)(143, 156)(144, 155)(146, 153)(147, 159)(150, 162)(151, 161)(154, 163)(157, 166)(158, 165)(160, 167)(164, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.663
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.654 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^21 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 24, 66, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 32, 74, 18, 60, 8, 50)(3, 45, 10, 52, 22, 64, 35, 77, 36, 78, 23, 65, 11, 53)(6, 48, 15, 57, 29, 71, 39, 81, 40, 82, 30, 72, 16, 58)(9, 51, 20, 62, 34, 76, 42, 84, 37, 79, 26, 68, 21, 63)(14, 56, 27, 69, 38, 80, 41, 83, 33, 75, 19, 61, 28, 70)(85, 86)(87, 93)(88, 92)(89, 91)(90, 98)(94, 105)(95, 104)(96, 102)(97, 101)(99, 112)(100, 111)(103, 113)(106, 110)(107, 118)(108, 116)(109, 115)(114, 122)(117, 123)(119, 121)(120, 126)(124, 125)(127, 129)(128, 132)(130, 137)(131, 136)(133, 142)(134, 141)(135, 145)(138, 149)(139, 148)(140, 152)(143, 156)(144, 155)(146, 159)(147, 154)(150, 162)(151, 161)(153, 163)(157, 166)(158, 165)(160, 167)(164, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.662
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.655 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3^-1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^3, Y3^6 * Y1 * Y3^-1 * Y2, (Y3 * Y1 * Y2)^7 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 23, 65, 35, 77, 32, 74, 20, 62, 9, 51, 19, 61, 31, 73, 41, 83, 39, 81, 28, 70, 16, 58, 6, 48, 15, 57, 27, 69, 36, 78, 24, 66, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 29, 71, 40, 82, 38, 80, 26, 68, 14, 56, 25, 67, 37, 79, 42, 84, 34, 76, 22, 64, 11, 53, 3, 45, 10, 52, 21, 63, 33, 75, 30, 72, 18, 60, 8, 50)(85, 86)(87, 93)(88, 92)(89, 91)(90, 98)(94, 104)(95, 103)(96, 102)(97, 101)(99, 110)(100, 109)(105, 116)(106, 115)(107, 114)(108, 113)(111, 122)(112, 121)(117, 119)(118, 125)(120, 124)(123, 126)(127, 129)(128, 132)(130, 137)(131, 136)(133, 142)(134, 141)(135, 140)(138, 148)(139, 147)(143, 154)(144, 153)(145, 152)(146, 151)(149, 160)(150, 159)(155, 165)(156, 162)(157, 164)(158, 163)(161, 168)(166, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.658
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.656 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 21, 63, 9, 51, 20, 62, 30, 72, 37, 79, 27, 69, 36, 78, 42, 84, 40, 82, 33, 75, 23, 65, 32, 74, 26, 68, 16, 58, 6, 48, 15, 57, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 25, 67, 14, 56, 24, 66, 34, 76, 39, 81, 31, 73, 35, 77, 41, 83, 38, 80, 29, 71, 19, 61, 28, 70, 22, 64, 11, 53, 3, 45, 10, 52, 18, 60, 8, 50)(85, 86)(87, 93)(88, 92)(89, 91)(90, 98)(94, 105)(95, 104)(96, 102)(97, 101)(99, 109)(100, 108)(103, 111)(106, 114)(107, 115)(110, 118)(112, 121)(113, 120)(116, 123)(117, 119)(122, 126)(124, 125)(127, 129)(128, 132)(130, 137)(131, 136)(133, 142)(134, 141)(135, 145)(138, 148)(139, 144)(140, 149)(143, 152)(146, 155)(147, 154)(150, 159)(151, 158)(153, 161)(156, 164)(157, 162)(160, 166)(163, 167)(165, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.660
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.657 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 7, 21})
Quotient :: edge^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|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 * Y3^9 * Y1, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 43, 4, 46, 12, 54, 20, 62, 28, 70, 36, 78, 41, 83, 33, 75, 25, 67, 17, 59, 9, 51, 6, 48, 14, 56, 22, 64, 30, 72, 38, 80, 37, 79, 29, 71, 21, 63, 13, 55, 5, 47)(2, 44, 7, 49, 15, 57, 23, 65, 31, 73, 39, 81, 42, 84, 35, 77, 27, 69, 19, 61, 11, 53, 3, 45, 10, 52, 18, 60, 26, 68, 34, 76, 40, 82, 32, 74, 24, 66, 16, 58, 8, 50)(85, 86)(87, 93)(88, 92)(89, 91)(90, 95)(94, 101)(96, 100)(97, 99)(98, 103)(102, 109)(104, 108)(105, 107)(106, 111)(110, 117)(112, 116)(113, 115)(114, 119)(118, 125)(120, 124)(121, 123)(122, 126)(127, 129)(128, 132)(130, 137)(131, 136)(133, 135)(134, 140)(138, 145)(139, 144)(141, 143)(142, 148)(146, 153)(147, 152)(149, 151)(150, 156)(154, 161)(155, 160)(157, 159)(158, 164)(162, 168)(163, 166)(165, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.659
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.658 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^7, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 23, 65, 107, 149, 24, 66, 108, 150, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 17, 59, 101, 143, 29, 71, 113, 155, 30, 72, 114, 156, 18, 60, 102, 144, 8, 50, 92, 134)(3, 45, 87, 129, 10, 52, 94, 136, 21, 63, 105, 147, 33, 75, 117, 159, 34, 76, 118, 160, 22, 64, 106, 148, 11, 53, 95, 137)(6, 48, 90, 132, 15, 57, 99, 141, 27, 69, 111, 153, 37, 79, 121, 163, 38, 80, 122, 164, 28, 70, 112, 154, 16, 58, 100, 142)(9, 51, 93, 135, 19, 61, 103, 145, 31, 73, 115, 157, 39, 81, 123, 165, 40, 82, 124, 166, 32, 74, 116, 158, 20, 62, 104, 146)(14, 56, 98, 140, 25, 67, 109, 151, 35, 77, 119, 161, 41, 83, 125, 167, 42, 84, 126, 168, 36, 78, 120, 162, 26, 68, 110, 152)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 56)(7, 47)(8, 46)(9, 45)(10, 62)(11, 61)(12, 60)(13, 59)(14, 48)(15, 68)(16, 67)(17, 55)(18, 54)(19, 53)(20, 52)(21, 74)(22, 73)(23, 72)(24, 71)(25, 58)(26, 57)(27, 78)(28, 77)(29, 66)(30, 65)(31, 64)(32, 63)(33, 82)(34, 81)(35, 70)(36, 69)(37, 84)(38, 83)(39, 76)(40, 75)(41, 80)(42, 79)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 142)(92, 141)(93, 140)(94, 131)(95, 130)(96, 148)(97, 147)(98, 135)(99, 134)(100, 133)(101, 154)(102, 153)(103, 152)(104, 151)(105, 139)(106, 138)(107, 160)(108, 159)(109, 146)(110, 145)(111, 144)(112, 143)(113, 164)(114, 163)(115, 162)(116, 161)(117, 150)(118, 149)(119, 158)(120, 157)(121, 156)(122, 155)(123, 168)(124, 167)(125, 166)(126, 165)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.655
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|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, Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^21 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 24, 66, 108, 150, 25, 67, 109, 151, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 17, 59, 101, 143, 31, 73, 115, 157, 32, 74, 116, 158, 18, 60, 102, 144, 8, 50, 92, 134)(3, 45, 87, 129, 10, 52, 94, 136, 22, 64, 106, 148, 35, 77, 119, 161, 36, 78, 120, 162, 23, 65, 107, 149, 11, 53, 95, 137)(6, 48, 90, 132, 15, 57, 99, 141, 29, 71, 113, 155, 39, 81, 123, 165, 40, 82, 124, 166, 30, 72, 114, 156, 16, 58, 100, 142)(9, 51, 93, 135, 20, 62, 104, 146, 26, 68, 110, 152, 37, 79, 121, 163, 42, 84, 126, 168, 34, 76, 118, 160, 21, 63, 105, 147)(14, 56, 98, 140, 27, 69, 111, 153, 19, 61, 103, 145, 33, 75, 117, 159, 41, 83, 125, 167, 38, 80, 122, 164, 28, 70, 112, 154)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 56)(7, 47)(8, 46)(9, 45)(10, 63)(11, 62)(12, 60)(13, 59)(14, 48)(15, 70)(16, 69)(17, 55)(18, 54)(19, 72)(20, 53)(21, 52)(22, 76)(23, 68)(24, 74)(25, 73)(26, 65)(27, 58)(28, 57)(29, 80)(30, 61)(31, 67)(32, 66)(33, 82)(34, 64)(35, 84)(36, 79)(37, 78)(38, 71)(39, 83)(40, 75)(41, 81)(42, 77)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 142)(92, 141)(93, 145)(94, 131)(95, 130)(96, 149)(97, 148)(98, 152)(99, 134)(100, 133)(101, 156)(102, 155)(103, 135)(104, 153)(105, 159)(106, 139)(107, 138)(108, 162)(109, 161)(110, 140)(111, 146)(112, 163)(113, 144)(114, 143)(115, 166)(116, 165)(117, 147)(118, 167)(119, 151)(120, 150)(121, 154)(122, 168)(123, 158)(124, 157)(125, 160)(126, 164)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.657
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.660 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^7, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, (Y3 * Y1 * Y2)^21 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 24, 66, 108, 150, 25, 67, 109, 151, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 17, 59, 101, 143, 31, 73, 115, 157, 32, 74, 116, 158, 18, 60, 102, 144, 8, 50, 92, 134)(3, 45, 87, 129, 10, 52, 94, 136, 22, 64, 106, 148, 35, 77, 119, 161, 36, 78, 120, 162, 23, 65, 107, 149, 11, 53, 95, 137)(6, 48, 90, 132, 15, 57, 99, 141, 29, 71, 113, 155, 39, 81, 123, 165, 40, 82, 124, 166, 30, 72, 114, 156, 16, 58, 100, 142)(9, 51, 93, 135, 20, 62, 104, 146, 34, 76, 118, 160, 42, 84, 126, 168, 37, 79, 121, 163, 26, 68, 110, 152, 21, 63, 105, 147)(14, 56, 98, 140, 27, 69, 111, 153, 38, 80, 122, 164, 41, 83, 125, 167, 33, 75, 117, 159, 19, 61, 103, 145, 28, 70, 112, 154)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 56)(7, 47)(8, 46)(9, 45)(10, 63)(11, 62)(12, 60)(13, 59)(14, 48)(15, 70)(16, 69)(17, 55)(18, 54)(19, 71)(20, 53)(21, 52)(22, 68)(23, 76)(24, 74)(25, 73)(26, 64)(27, 58)(28, 57)(29, 61)(30, 80)(31, 67)(32, 66)(33, 81)(34, 65)(35, 79)(36, 84)(37, 77)(38, 72)(39, 75)(40, 83)(41, 82)(42, 78)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 142)(92, 141)(93, 145)(94, 131)(95, 130)(96, 149)(97, 148)(98, 152)(99, 134)(100, 133)(101, 156)(102, 155)(103, 135)(104, 159)(105, 154)(106, 139)(107, 138)(108, 162)(109, 161)(110, 140)(111, 163)(112, 147)(113, 144)(114, 143)(115, 166)(116, 165)(117, 146)(118, 167)(119, 151)(120, 150)(121, 153)(122, 168)(123, 158)(124, 157)(125, 160)(126, 164)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.656
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.661 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y3^-1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^3, Y3^6 * Y1 * Y3^-1 * Y2, (Y3 * Y1 * Y2)^7 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 23, 65, 107, 149, 35, 77, 119, 161, 32, 74, 116, 158, 20, 62, 104, 146, 9, 51, 93, 135, 19, 61, 103, 145, 31, 73, 115, 157, 41, 83, 125, 167, 39, 81, 123, 165, 28, 70, 112, 154, 16, 58, 100, 142, 6, 48, 90, 132, 15, 57, 99, 141, 27, 69, 111, 153, 36, 78, 120, 162, 24, 66, 108, 150, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 17, 59, 101, 143, 29, 71, 113, 155, 40, 82, 124, 166, 38, 80, 122, 164, 26, 68, 110, 152, 14, 56, 98, 140, 25, 67, 109, 151, 37, 79, 121, 163, 42, 84, 126, 168, 34, 76, 118, 160, 22, 64, 106, 148, 11, 53, 95, 137, 3, 45, 87, 129, 10, 52, 94, 136, 21, 63, 105, 147, 33, 75, 117, 159, 30, 72, 114, 156, 18, 60, 102, 144, 8, 50, 92, 134)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 56)(7, 47)(8, 46)(9, 45)(10, 62)(11, 61)(12, 60)(13, 59)(14, 48)(15, 68)(16, 67)(17, 55)(18, 54)(19, 53)(20, 52)(21, 74)(22, 73)(23, 72)(24, 71)(25, 58)(26, 57)(27, 80)(28, 79)(29, 66)(30, 65)(31, 64)(32, 63)(33, 77)(34, 83)(35, 75)(36, 82)(37, 70)(38, 69)(39, 84)(40, 78)(41, 76)(42, 81)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 142)(92, 141)(93, 140)(94, 131)(95, 130)(96, 148)(97, 147)(98, 135)(99, 134)(100, 133)(101, 154)(102, 153)(103, 152)(104, 151)(105, 139)(106, 138)(107, 160)(108, 159)(109, 146)(110, 145)(111, 144)(112, 143)(113, 165)(114, 162)(115, 164)(116, 163)(117, 150)(118, 149)(119, 168)(120, 156)(121, 158)(122, 157)(123, 155)(124, 167)(125, 166)(126, 161)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.652
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.662 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y3^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y2 * Y3^4 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 21, 63, 105, 147, 9, 51, 93, 135, 20, 62, 104, 146, 30, 72, 114, 156, 37, 79, 121, 163, 27, 69, 111, 153, 36, 78, 120, 162, 42, 84, 126, 168, 40, 82, 124, 166, 33, 75, 117, 159, 23, 65, 107, 149, 32, 74, 116, 158, 26, 68, 110, 152, 16, 58, 100, 142, 6, 48, 90, 132, 15, 57, 99, 141, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 17, 59, 101, 143, 25, 67, 109, 151, 14, 56, 98, 140, 24, 66, 108, 150, 34, 76, 118, 160, 39, 81, 123, 165, 31, 73, 115, 157, 35, 77, 119, 161, 41, 83, 125, 167, 38, 80, 122, 164, 29, 71, 113, 155, 19, 61, 103, 145, 28, 70, 112, 154, 22, 64, 106, 148, 11, 53, 95, 137, 3, 45, 87, 129, 10, 52, 94, 136, 18, 60, 102, 144, 8, 50, 92, 134)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 56)(7, 47)(8, 46)(9, 45)(10, 63)(11, 62)(12, 60)(13, 59)(14, 48)(15, 67)(16, 66)(17, 55)(18, 54)(19, 69)(20, 53)(21, 52)(22, 72)(23, 73)(24, 58)(25, 57)(26, 76)(27, 61)(28, 79)(29, 78)(30, 64)(31, 65)(32, 81)(33, 77)(34, 68)(35, 75)(36, 71)(37, 70)(38, 84)(39, 74)(40, 83)(41, 82)(42, 80)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 142)(92, 141)(93, 145)(94, 131)(95, 130)(96, 148)(97, 144)(98, 149)(99, 134)(100, 133)(101, 152)(102, 139)(103, 135)(104, 155)(105, 154)(106, 138)(107, 140)(108, 159)(109, 158)(110, 143)(111, 161)(112, 147)(113, 146)(114, 164)(115, 162)(116, 151)(117, 150)(118, 166)(119, 153)(120, 157)(121, 167)(122, 156)(123, 168)(124, 160)(125, 163)(126, 165)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.654
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.663 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 7, 21})
Quotient :: loop^2
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|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 * Y3^9 * Y1, Y3^3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 43, 85, 127, 4, 46, 88, 130, 12, 54, 96, 138, 20, 62, 104, 146, 28, 70, 112, 154, 36, 78, 120, 162, 41, 83, 125, 167, 33, 75, 117, 159, 25, 67, 109, 151, 17, 59, 101, 143, 9, 51, 93, 135, 6, 48, 90, 132, 14, 56, 98, 140, 22, 64, 106, 148, 30, 72, 114, 156, 38, 80, 122, 164, 37, 79, 121, 163, 29, 71, 113, 155, 21, 63, 105, 147, 13, 55, 97, 139, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 15, 57, 99, 141, 23, 65, 107, 149, 31, 73, 115, 157, 39, 81, 123, 165, 42, 84, 126, 168, 35, 77, 119, 161, 27, 69, 111, 153, 19, 61, 103, 145, 11, 53, 95, 137, 3, 45, 87, 129, 10, 52, 94, 136, 18, 60, 102, 144, 26, 68, 110, 152, 34, 76, 118, 160, 40, 82, 124, 166, 32, 74, 116, 158, 24, 66, 108, 150, 16, 58, 100, 142, 8, 50, 92, 134)
	L = (1, 44)(2, 43)(3, 51)(4, 50)(5, 49)(6, 53)(7, 47)(8, 46)(9, 45)(10, 59)(11, 48)(12, 58)(13, 57)(14, 61)(15, 55)(16, 54)(17, 52)(18, 67)(19, 56)(20, 66)(21, 65)(22, 69)(23, 63)(24, 62)(25, 60)(26, 75)(27, 64)(28, 74)(29, 73)(30, 77)(31, 71)(32, 70)(33, 68)(34, 83)(35, 72)(36, 82)(37, 81)(38, 84)(39, 79)(40, 78)(41, 76)(42, 80)(85, 129)(86, 132)(87, 127)(88, 137)(89, 136)(90, 128)(91, 135)(92, 140)(93, 133)(94, 131)(95, 130)(96, 145)(97, 144)(98, 134)(99, 143)(100, 148)(101, 141)(102, 139)(103, 138)(104, 153)(105, 152)(106, 142)(107, 151)(108, 156)(109, 149)(110, 147)(111, 146)(112, 161)(113, 160)(114, 150)(115, 159)(116, 164)(117, 157)(118, 155)(119, 154)(120, 168)(121, 166)(122, 158)(123, 167)(124, 163)(125, 165)(126, 162)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.653
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 21, 63)(12, 54, 22, 64)(13, 55, 20, 62)(14, 56, 19, 61)(15, 57, 17, 59)(16, 58, 18, 60)(23, 65, 33, 75)(24, 66, 34, 76)(25, 67, 32, 74)(26, 68, 31, 73)(27, 69, 29, 71)(28, 70, 30, 72)(35, 77, 42, 84)(36, 78, 41, 83)(37, 79, 40, 82)(38, 80, 39, 81)(85, 127, 87, 129, 95, 137, 107, 149, 111, 153, 99, 141, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 117, 159, 105, 147, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 121, 163, 110, 152, 98, 140)(90, 132, 97, 139, 109, 151, 120, 162, 122, 164, 112, 154, 100, 142)(92, 134, 102, 144, 114, 156, 123, 165, 125, 167, 116, 158, 104, 146)(94, 136, 103, 145, 115, 157, 124, 166, 126, 168, 118, 160, 106, 148)
	L = (1, 88)(2, 92)(3, 96)(4, 90)(5, 98)(6, 85)(7, 102)(8, 94)(9, 104)(10, 86)(11, 108)(12, 97)(13, 87)(14, 100)(15, 110)(16, 89)(17, 114)(18, 103)(19, 91)(20, 106)(21, 116)(22, 93)(23, 119)(24, 109)(25, 95)(26, 112)(27, 121)(28, 99)(29, 123)(30, 115)(31, 101)(32, 118)(33, 125)(34, 105)(35, 120)(36, 107)(37, 122)(38, 111)(39, 124)(40, 113)(41, 126)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.670
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-3 * Y2^-3, Y2^-1 * Y3^6, Y2 * Y3^-1 * Y2^2 * Y3^-2 * Y2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 24, 66)(12, 54, 25, 67)(13, 55, 23, 65)(14, 56, 26, 68)(15, 57, 21, 63)(16, 58, 19, 61)(17, 59, 20, 62)(18, 60, 22, 64)(27, 69, 40, 82)(28, 70, 38, 80)(29, 71, 42, 84)(30, 72, 36, 78)(31, 73, 41, 83)(32, 74, 35, 77)(33, 75, 39, 81)(34, 76, 37, 79)(85, 127, 87, 129, 95, 137, 111, 153, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 124, 166, 108, 150, 93, 135)(88, 130, 96, 138, 112, 154, 102, 144, 115, 157, 118, 160, 99, 141)(90, 132, 97, 139, 113, 155, 117, 159, 98, 140, 114, 156, 101, 143)(92, 134, 104, 146, 120, 162, 110, 152, 123, 165, 126, 168, 107, 149)(94, 136, 105, 147, 121, 163, 125, 167, 106, 148, 122, 164, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 116)(15, 117)(16, 118)(17, 89)(18, 90)(19, 120)(20, 122)(21, 91)(22, 124)(23, 125)(24, 126)(25, 93)(26, 94)(27, 102)(28, 101)(29, 95)(30, 100)(31, 97)(32, 115)(33, 111)(34, 113)(35, 110)(36, 109)(37, 103)(38, 108)(39, 105)(40, 123)(41, 119)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.673
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2 * Y1)^2, 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 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 22, 64)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 18, 60)(15, 57, 19, 61)(16, 58, 17, 59)(23, 65, 34, 76)(24, 66, 32, 74)(25, 67, 33, 75)(26, 68, 30, 72)(27, 69, 31, 73)(28, 70, 29, 71)(35, 77, 41, 83)(36, 78, 42, 84)(37, 79, 39, 81)(38, 80, 40, 82)(85, 127, 87, 129, 95, 137, 107, 149, 112, 154, 100, 142, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 118, 160, 106, 148, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 122, 164, 111, 153, 99, 141)(90, 132, 97, 139, 109, 151, 120, 162, 121, 163, 110, 152, 98, 140)(92, 134, 102, 144, 114, 156, 123, 165, 126, 168, 117, 159, 105, 147)(94, 136, 103, 145, 115, 157, 124, 166, 125, 167, 116, 158, 104, 146)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 102)(8, 104)(9, 105)(10, 86)(11, 108)(12, 90)(13, 87)(14, 89)(15, 110)(16, 111)(17, 114)(18, 94)(19, 91)(20, 93)(21, 116)(22, 117)(23, 119)(24, 97)(25, 95)(26, 100)(27, 121)(28, 122)(29, 123)(30, 103)(31, 101)(32, 106)(33, 125)(34, 126)(35, 109)(36, 107)(37, 112)(38, 120)(39, 115)(40, 113)(41, 118)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.672
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-3, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 21, 63)(12, 54, 22, 64)(13, 55, 20, 62)(14, 56, 19, 61)(15, 57, 17, 59)(16, 58, 18, 60)(23, 65, 33, 75)(24, 66, 34, 76)(25, 67, 32, 74)(26, 68, 31, 73)(27, 69, 29, 71)(28, 70, 30, 72)(35, 77, 42, 84)(36, 78, 41, 83)(37, 79, 40, 82)(38, 80, 39, 81)(85, 127, 87, 129, 95, 137, 107, 149, 111, 153, 99, 141, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 117, 159, 105, 147, 93, 135)(88, 130, 96, 138, 108, 150, 119, 161, 121, 163, 110, 152, 98, 140)(90, 132, 97, 139, 109, 151, 120, 162, 122, 164, 112, 154, 100, 142)(92, 134, 102, 144, 114, 156, 123, 165, 125, 167, 116, 158, 104, 146)(94, 136, 103, 145, 115, 157, 124, 166, 126, 168, 118, 160, 106, 148)
	L = (1, 88)(2, 92)(3, 96)(4, 97)(5, 98)(6, 85)(7, 102)(8, 103)(9, 104)(10, 86)(11, 108)(12, 109)(13, 87)(14, 90)(15, 110)(16, 89)(17, 114)(18, 115)(19, 91)(20, 94)(21, 116)(22, 93)(23, 119)(24, 120)(25, 95)(26, 100)(27, 121)(28, 99)(29, 123)(30, 124)(31, 101)(32, 106)(33, 125)(34, 105)(35, 122)(36, 107)(37, 112)(38, 111)(39, 126)(40, 113)(41, 118)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.671
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^3 * Y2^2, Y2^7, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 24, 66)(12, 54, 25, 67)(13, 55, 23, 65)(14, 56, 26, 68)(15, 57, 21, 63)(16, 58, 19, 61)(17, 59, 20, 62)(18, 60, 22, 64)(27, 69, 38, 80)(28, 70, 37, 79)(29, 71, 36, 78)(30, 72, 35, 77)(31, 73, 34, 76)(32, 74, 33, 75)(39, 81, 42, 84)(40, 82, 41, 83)(85, 127, 87, 129, 95, 137, 111, 153, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 117, 159, 122, 164, 108, 150, 93, 135)(88, 130, 96, 138, 102, 144, 113, 155, 124, 166, 115, 157, 99, 141)(90, 132, 97, 139, 112, 154, 123, 165, 114, 156, 98, 140, 101, 143)(92, 134, 104, 146, 110, 152, 119, 161, 126, 168, 121, 163, 107, 149)(94, 136, 105, 147, 118, 160, 125, 167, 120, 162, 106, 148, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 102)(12, 101)(13, 87)(14, 100)(15, 114)(16, 115)(17, 89)(18, 90)(19, 110)(20, 109)(21, 91)(22, 108)(23, 120)(24, 121)(25, 93)(26, 94)(27, 113)(28, 95)(29, 97)(30, 116)(31, 123)(32, 124)(33, 119)(34, 103)(35, 105)(36, 122)(37, 125)(38, 126)(39, 111)(40, 112)(41, 117)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.674
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^3 * Y2^-2, Y2^-7, Y2^-7, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 9, 51)(4, 46, 10, 52)(5, 47, 7, 49)(6, 48, 8, 50)(11, 53, 24, 66)(12, 54, 25, 67)(13, 55, 23, 65)(14, 56, 26, 68)(15, 57, 21, 63)(16, 58, 19, 61)(17, 59, 20, 62)(18, 60, 22, 64)(27, 69, 36, 78)(28, 70, 37, 79)(29, 71, 38, 80)(30, 72, 33, 75)(31, 73, 34, 76)(32, 74, 35, 77)(39, 81, 42, 84)(40, 82, 41, 83)(85, 127, 87, 129, 95, 137, 111, 153, 114, 156, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 117, 159, 120, 162, 108, 150, 93, 135)(88, 130, 96, 138, 112, 154, 123, 165, 116, 158, 102, 144, 99, 141)(90, 132, 97, 139, 98, 140, 113, 155, 124, 166, 115, 157, 101, 143)(92, 134, 104, 146, 118, 160, 125, 167, 122, 164, 110, 152, 107, 149)(94, 136, 105, 147, 106, 148, 119, 161, 126, 168, 121, 163, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 113)(13, 87)(14, 95)(15, 97)(16, 102)(17, 89)(18, 90)(19, 118)(20, 119)(21, 91)(22, 103)(23, 105)(24, 110)(25, 93)(26, 94)(27, 123)(28, 124)(29, 111)(30, 116)(31, 100)(32, 101)(33, 125)(34, 126)(35, 117)(36, 122)(37, 108)(38, 109)(39, 115)(40, 114)(41, 121)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 42, 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.675
Graph:: simple bipartite
	v = 27 e = 84 f = 23
	degree seq :: [ 4^21, 14^6 ]

E18.670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^-3, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 28, 70, 16, 58, 6, 48, 10, 52, 20, 62, 32, 74, 38, 80, 26, 68, 14, 56, 4, 46, 9, 51, 19, 61, 31, 73, 27, 69, 15, 57, 5, 47)(3, 45, 11, 53, 23, 65, 35, 77, 41, 83, 34, 76, 22, 64, 13, 55, 25, 67, 37, 79, 42, 84, 40, 82, 33, 75, 21, 63, 12, 54, 24, 66, 36, 78, 39, 81, 30, 72, 18, 60, 8, 50)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 97, 139)(89, 131, 95, 137)(90, 132, 96, 138)(91, 133, 102, 144)(93, 135, 106, 148)(94, 136, 105, 147)(98, 140, 109, 151)(99, 141, 107, 149)(100, 142, 108, 150)(101, 143, 114, 156)(103, 145, 118, 160)(104, 146, 117, 159)(110, 152, 121, 163)(111, 153, 119, 161)(112, 154, 120, 162)(113, 155, 123, 165)(115, 157, 125, 167)(116, 158, 124, 166)(122, 164, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 90)(5, 98)(6, 85)(7, 103)(8, 105)(9, 94)(10, 86)(11, 108)(12, 97)(13, 87)(14, 100)(15, 110)(16, 89)(17, 115)(18, 117)(19, 104)(20, 91)(21, 106)(22, 92)(23, 120)(24, 109)(25, 95)(26, 112)(27, 122)(28, 99)(29, 111)(30, 124)(31, 116)(32, 101)(33, 118)(34, 102)(35, 123)(36, 121)(37, 107)(38, 113)(39, 126)(40, 125)(41, 114)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.664
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-1 * Y3^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6 * Y3 * Y1^4, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 15, 57, 23, 65, 31, 73, 38, 80, 30, 72, 22, 64, 14, 56, 6, 48, 4, 46, 9, 51, 17, 59, 25, 67, 33, 75, 37, 79, 29, 71, 21, 63, 13, 55, 5, 47)(3, 45, 10, 52, 19, 61, 27, 69, 35, 77, 41, 83, 40, 82, 34, 76, 26, 68, 18, 60, 12, 54, 11, 53, 20, 62, 28, 70, 36, 78, 42, 84, 39, 81, 32, 74, 24, 66, 16, 58, 8, 50)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 96, 138)(89, 131, 94, 136)(90, 132, 95, 137)(91, 133, 100, 142)(93, 135, 102, 144)(97, 139, 103, 145)(98, 140, 104, 146)(99, 141, 108, 150)(101, 143, 110, 152)(105, 147, 111, 153)(106, 148, 112, 154)(107, 149, 116, 158)(109, 151, 118, 160)(113, 155, 119, 161)(114, 156, 120, 162)(115, 157, 123, 165)(117, 159, 124, 166)(121, 163, 125, 167)(122, 164, 126, 168)
	L = (1, 88)(2, 93)(3, 95)(4, 86)(5, 90)(6, 85)(7, 101)(8, 96)(9, 91)(10, 104)(11, 94)(12, 87)(13, 98)(14, 89)(15, 109)(16, 102)(17, 99)(18, 92)(19, 112)(20, 103)(21, 106)(22, 97)(23, 117)(24, 110)(25, 107)(26, 100)(27, 120)(28, 111)(29, 114)(30, 105)(31, 121)(32, 118)(33, 115)(34, 108)(35, 126)(36, 119)(37, 122)(38, 113)(39, 124)(40, 116)(41, 123)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.667
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.672 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2 * Y1)^2, Y3 * Y1 * Y3^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^-5, (Y2 * Y3^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 15, 57, 4, 46, 9, 51, 21, 63, 34, 76, 31, 73, 14, 56, 18, 60, 25, 67, 37, 79, 32, 74, 17, 59, 6, 48, 10, 52, 22, 64, 16, 58, 5, 47)(3, 45, 11, 53, 26, 68, 35, 77, 23, 65, 12, 54, 27, 69, 39, 81, 42, 84, 38, 80, 29, 71, 30, 72, 40, 82, 41, 83, 36, 78, 24, 66, 13, 55, 28, 70, 33, 75, 20, 62, 8, 50)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 97, 139)(89, 131, 95, 137)(90, 132, 96, 138)(91, 133, 104, 146)(93, 135, 108, 150)(94, 136, 107, 149)(98, 140, 114, 156)(99, 141, 112, 154)(100, 142, 110, 152)(101, 143, 111, 153)(102, 144, 113, 155)(103, 145, 117, 159)(105, 147, 120, 162)(106, 148, 119, 161)(109, 151, 122, 164)(115, 157, 124, 166)(116, 158, 123, 165)(118, 160, 125, 167)(121, 163, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 98)(5, 99)(6, 85)(7, 105)(8, 107)(9, 102)(10, 86)(11, 111)(12, 113)(13, 87)(14, 101)(15, 115)(16, 103)(17, 89)(18, 90)(19, 118)(20, 119)(21, 109)(22, 91)(23, 122)(24, 92)(25, 94)(26, 123)(27, 114)(28, 95)(29, 108)(30, 97)(31, 116)(32, 100)(33, 110)(34, 121)(35, 126)(36, 104)(37, 106)(38, 120)(39, 124)(40, 112)(41, 117)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.666
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1, Y1^-1), Y1 * Y3 * Y1^3, Y3^-5 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 6, 48, 10, 52, 20, 62, 32, 74, 18, 60, 24, 66, 34, 76, 40, 82, 30, 72, 14, 56, 23, 65, 31, 73, 15, 57, 4, 46, 9, 51, 16, 58, 5, 47)(3, 45, 11, 53, 25, 67, 22, 64, 13, 55, 27, 69, 37, 79, 36, 78, 29, 71, 39, 81, 42, 84, 41, 83, 35, 77, 28, 70, 38, 80, 33, 75, 21, 63, 12, 54, 26, 68, 19, 61, 8, 50)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 97, 139)(89, 131, 95, 137)(90, 132, 96, 138)(91, 133, 103, 145)(93, 135, 106, 148)(94, 136, 105, 147)(98, 140, 113, 155)(99, 141, 111, 153)(100, 142, 109, 151)(101, 143, 110, 152)(102, 144, 112, 154)(104, 146, 117, 159)(107, 149, 120, 162)(108, 150, 119, 161)(114, 156, 123, 165)(115, 157, 121, 163)(116, 158, 122, 164)(118, 160, 125, 167)(124, 166, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 98)(5, 99)(6, 85)(7, 100)(8, 105)(9, 107)(10, 86)(11, 110)(12, 112)(13, 87)(14, 108)(15, 114)(16, 115)(17, 89)(18, 90)(19, 117)(20, 91)(21, 119)(22, 92)(23, 118)(24, 94)(25, 103)(26, 122)(27, 95)(28, 123)(29, 97)(30, 102)(31, 124)(32, 101)(33, 125)(34, 104)(35, 113)(36, 106)(37, 109)(38, 126)(39, 111)(40, 116)(41, 120)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.665
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3^-5 * Y1^-1, Y1 * Y3 * Y1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 19, 61, 34, 76, 18, 60, 26, 68, 15, 57, 4, 46, 9, 51, 21, 63, 33, 75, 17, 59, 6, 48, 10, 52, 22, 64, 14, 56, 25, 67, 32, 74, 16, 58, 5, 47)(3, 45, 11, 53, 27, 69, 40, 82, 39, 81, 31, 73, 36, 78, 23, 65, 12, 54, 28, 70, 41, 83, 37, 79, 24, 66, 13, 55, 29, 71, 38, 80, 30, 72, 42, 84, 35, 77, 20, 62, 8, 50)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 97, 139)(89, 131, 95, 137)(90, 132, 96, 138)(91, 133, 104, 146)(93, 135, 108, 150)(94, 136, 107, 149)(98, 140, 115, 157)(99, 141, 113, 155)(100, 142, 111, 153)(101, 143, 112, 154)(102, 144, 114, 156)(103, 145, 119, 161)(105, 147, 121, 163)(106, 148, 120, 162)(109, 151, 123, 165)(110, 152, 122, 164)(116, 158, 124, 166)(117, 159, 125, 167)(118, 160, 126, 168)
	L = (1, 88)(2, 93)(3, 96)(4, 98)(5, 99)(6, 85)(7, 105)(8, 107)(9, 109)(10, 86)(11, 112)(12, 114)(13, 87)(14, 103)(15, 106)(16, 110)(17, 89)(18, 90)(19, 117)(20, 120)(21, 116)(22, 91)(23, 122)(24, 92)(25, 118)(26, 94)(27, 125)(28, 126)(29, 95)(30, 124)(31, 97)(32, 102)(33, 100)(34, 101)(35, 115)(36, 113)(37, 104)(38, 111)(39, 108)(40, 121)(41, 119)(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, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.668
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 7, 21})
Quotient :: dipole
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y1^-2 * Y3, (Y1 * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^10, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46, 8, 50, 12, 54, 16, 58, 20, 62, 24, 66, 28, 70, 32, 74, 36, 78, 38, 80, 37, 79, 30, 72, 29, 71, 22, 64, 21, 63, 14, 56, 13, 55, 6, 48, 5, 47)(3, 45, 9, 51, 10, 52, 17, 59, 18, 60, 25, 67, 26, 68, 33, 75, 34, 76, 40, 82, 41, 83, 42, 84, 39, 81, 35, 77, 31, 73, 27, 69, 23, 65, 19, 61, 15, 57, 11, 53, 7, 49)(85, 127, 87, 129)(86, 128, 91, 133)(88, 130, 95, 137)(89, 131, 93, 135)(90, 132, 94, 136)(92, 134, 99, 141)(96, 138, 103, 145)(97, 139, 101, 143)(98, 140, 102, 144)(100, 142, 107, 149)(104, 146, 111, 153)(105, 147, 109, 151)(106, 148, 110, 152)(108, 150, 115, 157)(112, 154, 119, 161)(113, 155, 117, 159)(114, 156, 118, 160)(116, 158, 123, 165)(120, 162, 126, 168)(121, 163, 124, 166)(122, 164, 125, 167)
	L = (1, 88)(2, 92)(3, 94)(4, 96)(5, 86)(6, 85)(7, 93)(8, 100)(9, 101)(10, 102)(11, 87)(12, 104)(13, 89)(14, 90)(15, 91)(16, 108)(17, 109)(18, 110)(19, 95)(20, 112)(21, 97)(22, 98)(23, 99)(24, 116)(25, 117)(26, 118)(27, 103)(28, 120)(29, 105)(30, 106)(31, 107)(32, 122)(33, 124)(34, 125)(35, 111)(36, 121)(37, 113)(38, 114)(39, 115)(40, 126)(41, 123)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 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 E18.669
Graph:: bipartite
	v = 23 e = 84 f = 27
	degree seq :: [ 4^21, 42^2 ]

E18.676 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4 * T1^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, (T2^-2 * T1^-1)^2, T2 * T1^-2 * T2^-1 * T1^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-6 * T2^2, 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 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 31, 34, 42, 39, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 41, 32, 36, 18, 35, 26, 8)(9, 27, 16, 24, 11, 21, 40, 25, 38, 23, 37, 33, 15, 28)(43, 44, 48, 60, 76, 72, 52, 64, 59, 68, 81, 74, 55, 46)(45, 51, 61, 79, 84, 82, 71, 58, 47, 57, 62, 80, 73, 53)(49, 63, 77, 69, 83, 75, 56, 67, 50, 66, 78, 70, 54, 65)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.688
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.677 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1^5 ]
Map:: non-degenerate
	R = (1, 3, 10, 20, 6, 19, 38, 42, 34, 32, 13, 30, 17, 5)(2, 7, 22, 36, 18, 35, 31, 41, 33, 14, 4, 12, 26, 8)(9, 27, 39, 25, 37, 23, 40, 24, 16, 21, 11, 29, 15, 28)(43, 44, 48, 60, 76, 75, 59, 68, 52, 64, 80, 73, 55, 46)(45, 51, 61, 79, 74, 58, 47, 57, 62, 81, 84, 82, 72, 53)(49, 63, 77, 70, 56, 67, 50, 66, 78, 71, 83, 69, 54, 65)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.689
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.678 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T2^-1 * T1^-2 * T2^-2 * T1^-2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 29, 37, 41, 34, 18, 6, 17, 28, 12, 21, 36, 42, 35, 19, 33, 15, 5)(2, 7, 20, 27, 14, 31, 39, 23, 9, 16, 30, 13, 4, 11, 26, 40, 24, 32, 38, 22, 8)(43, 44, 48, 58, 75, 80, 83, 81, 84, 82, 67, 69, 54, 46)(45, 51, 59, 74, 57, 73, 76, 68, 77, 62, 71, 55, 63, 50)(47, 53, 60, 49, 61, 72, 79, 64, 78, 65, 52, 66, 70, 56)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 28^14 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E18.686
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 3
	degree seq :: [ 14^3, 21^2 ]

E18.679 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^3 * T2^-1 * T1 * T2^-1, T2^6 * T1^2, (T2^-1 * T1^-1 * T2^-2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 41, 29, 13, 23, 22, 34, 36, 42, 38, 24, 20, 6, 19, 35, 33, 17, 5)(2, 7, 21, 37, 30, 14, 4, 12, 9, 25, 39, 32, 28, 15, 11, 18, 26, 40, 31, 16, 8)(43, 44, 48, 60, 76, 67, 69, 79, 75, 73, 80, 70, 55, 46)(45, 51, 61, 63, 78, 82, 83, 74, 59, 56, 66, 50, 65, 53)(47, 57, 62, 54, 64, 49, 52, 68, 77, 81, 84, 72, 71, 58)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 28^14 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E18.685
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 3
	degree seq :: [ 14^3, 21^2 ]

E18.680 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-1 * T1, T1 * T2 * T1^3 * T2, T2 * T1^2 * T2^-1 * T1^-2, T2^-6 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 26, 35, 20, 6, 19, 22, 36, 42, 37, 34, 23, 21, 13, 29, 40, 33, 17, 5)(2, 7, 11, 28, 41, 32, 18, 16, 9, 25, 27, 39, 31, 15, 14, 4, 12, 30, 38, 24, 8)(43, 44, 48, 60, 76, 73, 75, 80, 68, 70, 78, 67, 55, 46)(45, 51, 61, 56, 65, 50, 59, 74, 77, 81, 84, 72, 71, 53)(47, 57, 62, 66, 79, 83, 82, 69, 52, 54, 64, 49, 63, 58)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 28^14 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E18.683
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 3
	degree seq :: [ 14^3, 21^2 ]

E18.681 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-2 * T2^-2, (T1^-1 * T2^2)^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^14, (T2^-1 * T1^-1)^14 ]
Map:: non-degenerate
	R = (1, 3, 10, 13, 28, 20, 38, 40, 21, 39, 22, 31, 42, 23, 41, 37, 33, 19, 6, 17, 5)(2, 7, 14, 4, 12, 30, 32, 26, 9, 25, 29, 11, 27, 15, 34, 36, 16, 35, 18, 24, 8)(43, 44, 48, 60, 79, 78, 84, 69, 81, 67, 80, 74, 55, 46)(45, 51, 59, 72, 75, 56, 65, 50, 64, 77, 82, 76, 70, 53)(47, 57, 61, 71, 83, 68, 73, 54, 63, 49, 62, 66, 52, 58)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 28^14 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E18.687
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 3
	degree seq :: [ 14^3, 21^2 ]

E18.682 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {14, 14, 21})
Quotient :: edge
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^2, (T1^-1 * T2^-2)^2, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1, T1, T2^-1), T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^14 ]
Map:: non-degenerate
	R = (1, 3, 10, 6, 19, 30, 37, 40, 22, 39, 33, 20, 38, 24, 42, 41, 23, 32, 13, 17, 5)(2, 7, 21, 18, 29, 11, 28, 26, 9, 25, 16, 36, 35, 15, 34, 31, 27, 14, 4, 12, 8)(43, 44, 48, 60, 79, 70, 81, 67, 80, 77, 83, 73, 55, 46)(45, 51, 61, 78, 82, 76, 75, 56, 66, 50, 65, 63, 59, 53)(47, 57, 52, 69, 72, 54, 64, 49, 62, 71, 84, 68, 74, 58)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 28^14 ), ( 28^21 ) }
Outer automorphisms :: reflexible
Dual of E18.684
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 42 f = 3
	degree seq :: [ 14^3, 21^2 ]

E18.683 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^14, (T2^-1 * T1^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 6, 48, 15, 57, 22, 64, 29, 71, 34, 76, 41, 83, 37, 79, 32, 74, 25, 67, 20, 62, 11, 53, 5, 47)(2, 44, 7, 49, 14, 56, 23, 65, 28, 70, 35, 77, 40, 82, 38, 80, 31, 73, 26, 68, 19, 61, 12, 54, 4, 46, 8, 50)(9, 51, 16, 58, 24, 66, 30, 72, 36, 78, 42, 84, 39, 81, 33, 75, 27, 69, 21, 63, 13, 55, 18, 60, 10, 52, 17, 59)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 52)(6, 56)(7, 58)(8, 59)(9, 57)(10, 45)(11, 46)(12, 60)(13, 47)(14, 64)(15, 66)(16, 65)(17, 49)(18, 50)(19, 53)(20, 55)(21, 54)(22, 70)(23, 72)(24, 71)(25, 61)(26, 63)(27, 62)(28, 76)(29, 78)(30, 77)(31, 67)(32, 69)(33, 68)(34, 82)(35, 84)(36, 83)(37, 73)(38, 75)(39, 74)(40, 79)(41, 81)(42, 80)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.680
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 5
	degree seq :: [ 28^3 ]

E18.684 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4 * T1^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, (T2^-2 * T1^-1)^2, T2 * T1^-2 * T2^-1 * T1^2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^-6 * T2^2, 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 * T2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 29, 71, 13, 55, 31, 73, 34, 76, 42, 84, 39, 81, 20, 62, 6, 48, 19, 61, 17, 59, 5, 47)(2, 44, 7, 49, 22, 64, 14, 56, 4, 46, 12, 54, 30, 72, 41, 83, 32, 74, 36, 78, 18, 60, 35, 77, 26, 68, 8, 50)(9, 51, 27, 69, 16, 58, 24, 66, 11, 53, 21, 63, 40, 82, 25, 67, 38, 80, 23, 65, 37, 79, 33, 75, 15, 57, 28, 70)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 63)(8, 66)(9, 61)(10, 64)(11, 45)(12, 65)(13, 46)(14, 67)(15, 62)(16, 47)(17, 68)(18, 76)(19, 79)(20, 80)(21, 77)(22, 59)(23, 49)(24, 78)(25, 50)(26, 81)(27, 83)(28, 54)(29, 58)(30, 52)(31, 53)(32, 55)(33, 56)(34, 72)(35, 69)(36, 70)(37, 84)(38, 73)(39, 74)(40, 71)(41, 75)(42, 82)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.682
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 5
	degree seq :: [ 28^3 ]

E18.685 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T2^-2 * T1 * T2^2 * T1^-1, T2^-1 * T1^-2 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1, T1 * T2^2 * T1^5 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 20, 62, 6, 48, 19, 61, 38, 80, 42, 84, 34, 76, 32, 74, 13, 55, 30, 72, 17, 59, 5, 47)(2, 44, 7, 49, 22, 64, 36, 78, 18, 60, 35, 77, 31, 73, 41, 83, 33, 75, 14, 56, 4, 46, 12, 54, 26, 68, 8, 50)(9, 51, 27, 69, 39, 81, 25, 67, 37, 79, 23, 65, 40, 82, 24, 66, 16, 58, 21, 63, 11, 53, 29, 71, 15, 57, 28, 70)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 63)(8, 66)(9, 61)(10, 64)(11, 45)(12, 65)(13, 46)(14, 67)(15, 62)(16, 47)(17, 68)(18, 76)(19, 79)(20, 81)(21, 77)(22, 80)(23, 49)(24, 78)(25, 50)(26, 52)(27, 54)(28, 56)(29, 83)(30, 53)(31, 55)(32, 58)(33, 59)(34, 75)(35, 70)(36, 71)(37, 74)(38, 73)(39, 84)(40, 72)(41, 69)(42, 82)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.679
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 5
	degree seq :: [ 28^3 ]

E18.686 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4 * T2^2, (T1^-1 * T2^-1 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^-2 * T1 * T2^-4 * 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 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 28, 70, 36, 78, 20, 62, 6, 48, 19, 61, 13, 55, 30, 72, 41, 83, 33, 75, 17, 59, 5, 47)(2, 44, 7, 49, 22, 64, 38, 80, 42, 84, 34, 76, 18, 60, 14, 56, 4, 46, 12, 54, 29, 71, 40, 82, 26, 68, 8, 50)(9, 51, 24, 66, 37, 79, 21, 63, 35, 77, 32, 74, 16, 58, 31, 73, 11, 53, 25, 67, 39, 81, 23, 65, 15, 57, 27, 69)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 63)(8, 66)(9, 61)(10, 64)(11, 45)(12, 65)(13, 46)(14, 67)(15, 62)(16, 47)(17, 68)(18, 59)(19, 58)(20, 77)(21, 56)(22, 55)(23, 49)(24, 76)(25, 50)(26, 78)(27, 80)(28, 79)(29, 52)(30, 53)(31, 82)(32, 54)(33, 81)(34, 73)(35, 75)(36, 84)(37, 72)(38, 74)(39, 70)(40, 69)(41, 71)(42, 83)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.678
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 5
	degree seq :: [ 28^3 ]

E18.687 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-4 * T2^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1, T2 * T1^-1 * T2^-2 * T1 * T2, T2^6 * T1^2, T1^-1 * T2^-1 * T1^-3 * T2^-1 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 28, 70, 41, 83, 31, 73, 13, 55, 20, 62, 6, 48, 19, 61, 36, 78, 33, 75, 17, 59, 5, 47)(2, 44, 7, 49, 22, 64, 38, 80, 32, 74, 14, 56, 4, 46, 12, 54, 18, 60, 34, 76, 42, 84, 40, 82, 26, 68, 8, 50)(9, 51, 25, 67, 39, 81, 23, 65, 16, 58, 30, 72, 11, 53, 29, 71, 35, 77, 24, 66, 37, 79, 21, 63, 15, 57, 27, 69)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 63)(8, 66)(9, 61)(10, 64)(11, 45)(12, 65)(13, 46)(14, 67)(15, 62)(16, 47)(17, 68)(18, 52)(19, 77)(20, 53)(21, 76)(22, 78)(23, 49)(24, 54)(25, 50)(26, 55)(27, 82)(28, 81)(29, 56)(30, 80)(31, 58)(32, 59)(33, 79)(34, 72)(35, 70)(36, 84)(37, 73)(38, 69)(39, 75)(40, 71)(41, 74)(42, 83)
	local type(s) :: { ( 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21, 14, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.681
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 42 f = 5
	degree seq :: [ 28^3 ]

E18.688 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^2, T2^-1 * T1^-2 * T2^-2 * T1^-2, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 25, 67, 29, 71, 37, 79, 41, 83, 34, 76, 18, 60, 6, 48, 17, 59, 28, 70, 12, 54, 21, 63, 36, 78, 42, 84, 35, 77, 19, 61, 33, 75, 15, 57, 5, 47)(2, 44, 7, 49, 20, 62, 27, 69, 14, 56, 31, 73, 39, 81, 23, 65, 9, 51, 16, 58, 30, 72, 13, 55, 4, 46, 11, 53, 26, 68, 40, 82, 24, 66, 32, 74, 38, 80, 22, 64, 8, 50)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 53)(6, 58)(7, 61)(8, 45)(9, 59)(10, 66)(11, 60)(12, 46)(13, 63)(14, 47)(15, 73)(16, 75)(17, 74)(18, 49)(19, 72)(20, 71)(21, 50)(22, 78)(23, 52)(24, 70)(25, 69)(26, 77)(27, 54)(28, 56)(29, 55)(30, 79)(31, 76)(32, 57)(33, 80)(34, 68)(35, 62)(36, 65)(37, 64)(38, 83)(39, 84)(40, 67)(41, 81)(42, 82)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.676
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.689 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {14, 14, 21})
Quotient :: loop
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1 * T2^-2, T1^3 * T2^-1 * T1 * T2^-1, T2^6 * T1^2, (T2^-1 * T1^-1 * T2^-2)^2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 10, 52, 27, 69, 41, 83, 29, 71, 13, 55, 23, 65, 22, 64, 34, 76, 36, 78, 42, 84, 38, 80, 24, 66, 20, 62, 6, 48, 19, 61, 35, 77, 33, 75, 17, 59, 5, 47)(2, 44, 7, 49, 21, 63, 37, 79, 30, 72, 14, 56, 4, 46, 12, 54, 9, 51, 25, 67, 39, 81, 32, 74, 28, 70, 15, 57, 11, 53, 18, 60, 26, 68, 40, 82, 31, 73, 16, 58, 8, 50)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 57)(6, 60)(7, 52)(8, 65)(9, 61)(10, 68)(11, 45)(12, 64)(13, 46)(14, 66)(15, 62)(16, 47)(17, 56)(18, 76)(19, 63)(20, 54)(21, 78)(22, 49)(23, 53)(24, 50)(25, 69)(26, 77)(27, 79)(28, 55)(29, 58)(30, 71)(31, 80)(32, 59)(33, 73)(34, 67)(35, 81)(36, 82)(37, 75)(38, 70)(39, 84)(40, 83)(41, 74)(42, 72)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.677
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y1^-3, Y2^2 * Y3 * Y1^-3, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2^-2 * Y3 * Y2^-4 * Y3, Y3^2 * Y2^8, Y2^2 * Y1^10 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 10, 52, 22, 64, 36, 78, 42, 84, 41, 83, 32, 74, 17, 59, 26, 68, 13, 55, 4, 46)(3, 45, 9, 51, 19, 61, 35, 77, 28, 70, 39, 81, 33, 75, 37, 79, 31, 73, 16, 58, 5, 47, 15, 57, 20, 62, 11, 53)(7, 49, 21, 63, 34, 76, 30, 72, 38, 80, 27, 69, 40, 82, 29, 71, 14, 56, 25, 67, 8, 50, 24, 66, 12, 54, 23, 65)(85, 127, 87, 129, 94, 136, 112, 154, 125, 167, 115, 157, 97, 139, 104, 146, 90, 132, 103, 145, 120, 162, 117, 159, 101, 143, 89, 131)(86, 128, 91, 133, 106, 148, 122, 164, 116, 158, 98, 140, 88, 130, 96, 138, 102, 144, 118, 160, 126, 168, 124, 166, 110, 152, 92, 134)(93, 135, 109, 151, 123, 165, 107, 149, 100, 142, 114, 156, 95, 137, 113, 155, 119, 161, 108, 150, 121, 163, 105, 147, 99, 141, 111, 153)
	L = (1, 88)(2, 85)(3, 95)(4, 97)(5, 100)(6, 86)(7, 107)(8, 109)(9, 87)(10, 102)(11, 104)(12, 108)(13, 110)(14, 113)(15, 89)(16, 115)(17, 116)(18, 90)(19, 93)(20, 99)(21, 91)(22, 94)(23, 96)(24, 92)(25, 98)(26, 101)(27, 122)(28, 119)(29, 124)(30, 118)(31, 121)(32, 125)(33, 123)(34, 105)(35, 103)(36, 106)(37, 117)(38, 114)(39, 112)(40, 111)(41, 126)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 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 E18.703
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y1^-2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^2 * Y2 * Y1^2, (Y2^-1 * Y1^-2)^2, Y2^-1 * Y3^-2 * Y2^-5, Y3 * Y1^-1 * Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 17, 59, 26, 68, 36, 78, 42, 84, 41, 83, 29, 71, 10, 52, 22, 64, 13, 55, 4, 46)(3, 45, 9, 51, 19, 61, 16, 58, 5, 47, 15, 57, 20, 62, 35, 77, 33, 75, 39, 81, 28, 70, 37, 79, 30, 72, 11, 53)(7, 49, 21, 63, 14, 56, 25, 67, 8, 50, 24, 66, 34, 76, 31, 73, 40, 82, 27, 69, 38, 80, 32, 74, 12, 54, 23, 65)(85, 127, 87, 129, 94, 136, 112, 154, 120, 162, 104, 146, 90, 132, 103, 145, 97, 139, 114, 156, 125, 167, 117, 159, 101, 143, 89, 131)(86, 128, 91, 133, 106, 148, 122, 164, 126, 168, 118, 160, 102, 144, 98, 140, 88, 130, 96, 138, 113, 155, 124, 166, 110, 152, 92, 134)(93, 135, 108, 150, 121, 163, 105, 147, 119, 161, 116, 158, 100, 142, 115, 157, 95, 137, 109, 151, 123, 165, 107, 149, 99, 141, 111, 153)
	L = (1, 88)(2, 85)(3, 95)(4, 97)(5, 100)(6, 86)(7, 107)(8, 109)(9, 87)(10, 113)(11, 114)(12, 116)(13, 106)(14, 105)(15, 89)(16, 103)(17, 102)(18, 90)(19, 93)(20, 99)(21, 91)(22, 94)(23, 96)(24, 92)(25, 98)(26, 101)(27, 124)(28, 123)(29, 125)(30, 121)(31, 118)(32, 122)(33, 119)(34, 108)(35, 104)(36, 110)(37, 112)(38, 111)(39, 117)(40, 115)(41, 126)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 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 E18.702
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y1 * Y2 * Y1^2 * Y2^2 * Y1, Y1 * Y2 * Y1 * Y2^4, Y1^14, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 16, 58, 33, 75, 38, 80, 41, 83, 39, 81, 42, 84, 40, 82, 25, 67, 27, 69, 12, 54, 4, 46)(3, 45, 9, 51, 17, 59, 32, 74, 15, 57, 31, 73, 34, 76, 26, 68, 35, 77, 20, 62, 29, 71, 13, 55, 21, 63, 8, 50)(5, 47, 11, 53, 18, 60, 7, 49, 19, 61, 30, 72, 37, 79, 22, 64, 36, 78, 23, 65, 10, 52, 24, 66, 28, 70, 14, 56)(85, 127, 87, 129, 94, 136, 109, 151, 113, 155, 121, 163, 125, 167, 118, 160, 102, 144, 90, 132, 101, 143, 112, 154, 96, 138, 105, 147, 120, 162, 126, 168, 119, 161, 103, 145, 117, 159, 99, 141, 89, 131)(86, 128, 91, 133, 104, 146, 111, 153, 98, 140, 115, 157, 123, 165, 107, 149, 93, 135, 100, 142, 114, 156, 97, 139, 88, 130, 95, 137, 110, 152, 124, 166, 108, 150, 116, 158, 122, 164, 106, 148, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 95)(5, 85)(6, 101)(7, 104)(8, 86)(9, 100)(10, 109)(11, 110)(12, 105)(13, 88)(14, 115)(15, 89)(16, 114)(17, 112)(18, 90)(19, 117)(20, 111)(21, 120)(22, 92)(23, 93)(24, 116)(25, 113)(26, 124)(27, 98)(28, 96)(29, 121)(30, 97)(31, 123)(32, 122)(33, 99)(34, 102)(35, 103)(36, 126)(37, 125)(38, 106)(39, 107)(40, 108)(41, 118)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.700
Graph:: bipartite
	v = 5 e = 84 f = 45
	degree seq :: [ 28^3, 42^2 ]

E18.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2, Y1^2 * Y2^-6, Y2^-1 * Y1^-1 * Y2^-1 * Y1^11, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 34, 76, 31, 73, 33, 75, 38, 80, 26, 68, 28, 70, 36, 78, 25, 67, 13, 55, 4, 46)(3, 45, 9, 51, 19, 61, 14, 56, 23, 65, 8, 50, 17, 59, 32, 74, 35, 77, 39, 81, 42, 84, 30, 72, 29, 71, 11, 53)(5, 47, 15, 57, 20, 62, 24, 66, 37, 79, 41, 83, 40, 82, 27, 69, 10, 52, 12, 54, 22, 64, 7, 49, 21, 63, 16, 58)(85, 127, 87, 129, 94, 136, 110, 152, 119, 161, 104, 146, 90, 132, 103, 145, 106, 148, 120, 162, 126, 168, 121, 163, 118, 160, 107, 149, 105, 147, 97, 139, 113, 155, 124, 166, 117, 159, 101, 143, 89, 131)(86, 128, 91, 133, 95, 137, 112, 154, 125, 167, 116, 158, 102, 144, 100, 142, 93, 135, 109, 151, 111, 153, 123, 165, 115, 157, 99, 141, 98, 140, 88, 130, 96, 138, 114, 156, 122, 164, 108, 150, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 95)(8, 86)(9, 109)(10, 110)(11, 112)(12, 114)(13, 113)(14, 88)(15, 98)(16, 93)(17, 89)(18, 100)(19, 106)(20, 90)(21, 97)(22, 120)(23, 105)(24, 92)(25, 111)(26, 119)(27, 123)(28, 125)(29, 124)(30, 122)(31, 99)(32, 102)(33, 101)(34, 107)(35, 104)(36, 126)(37, 118)(38, 108)(39, 115)(40, 117)(41, 116)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.698
Graph:: bipartite
	v = 5 e = 84 f = 45
	degree seq :: [ 28^3, 42^2 ]

E18.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y1^3 * Y2^-1 * Y1 * Y2^-1, Y2^6 * Y1^2, (Y2^-1 * Y1^-1 * Y2^-2)^2, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 34, 76, 25, 67, 27, 69, 37, 79, 33, 75, 31, 73, 38, 80, 28, 70, 13, 55, 4, 46)(3, 45, 9, 51, 19, 61, 21, 63, 36, 78, 40, 82, 41, 83, 32, 74, 17, 59, 14, 56, 24, 66, 8, 50, 23, 65, 11, 53)(5, 47, 15, 57, 20, 62, 12, 54, 22, 64, 7, 49, 10, 52, 26, 68, 35, 77, 39, 81, 42, 84, 30, 72, 29, 71, 16, 58)(85, 127, 87, 129, 94, 136, 111, 153, 125, 167, 113, 155, 97, 139, 107, 149, 106, 148, 118, 160, 120, 162, 126, 168, 122, 164, 108, 150, 104, 146, 90, 132, 103, 145, 119, 161, 117, 159, 101, 143, 89, 131)(86, 128, 91, 133, 105, 147, 121, 163, 114, 156, 98, 140, 88, 130, 96, 138, 93, 135, 109, 151, 123, 165, 116, 158, 112, 154, 99, 141, 95, 137, 102, 144, 110, 152, 124, 166, 115, 157, 100, 142, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 109)(10, 111)(11, 102)(12, 93)(13, 107)(14, 88)(15, 95)(16, 92)(17, 89)(18, 110)(19, 119)(20, 90)(21, 121)(22, 118)(23, 106)(24, 104)(25, 123)(26, 124)(27, 125)(28, 99)(29, 97)(30, 98)(31, 100)(32, 112)(33, 101)(34, 120)(35, 117)(36, 126)(37, 114)(38, 108)(39, 116)(40, 115)(41, 113)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.701
Graph:: bipartite
	v = 5 e = 84 f = 45
	degree seq :: [ 28^3, 42^2 ]

E18.695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^2, (Y2^2 * Y1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y1^14, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 37, 79, 28, 70, 39, 81, 25, 67, 38, 80, 35, 77, 41, 83, 31, 73, 13, 55, 4, 46)(3, 45, 9, 51, 19, 61, 36, 78, 40, 82, 34, 76, 33, 75, 14, 56, 24, 66, 8, 50, 23, 65, 21, 63, 17, 59, 11, 53)(5, 47, 15, 57, 10, 52, 27, 69, 30, 72, 12, 54, 22, 64, 7, 49, 20, 62, 29, 71, 42, 84, 26, 68, 32, 74, 16, 58)(85, 127, 87, 129, 94, 136, 90, 132, 103, 145, 114, 156, 121, 163, 124, 166, 106, 148, 123, 165, 117, 159, 104, 146, 122, 164, 108, 150, 126, 168, 125, 167, 107, 149, 116, 158, 97, 139, 101, 143, 89, 131)(86, 128, 91, 133, 105, 147, 102, 144, 113, 155, 95, 137, 112, 154, 110, 152, 93, 135, 109, 151, 100, 142, 120, 162, 119, 161, 99, 141, 118, 160, 115, 157, 111, 153, 98, 140, 88, 130, 96, 138, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 109)(10, 90)(11, 112)(12, 92)(13, 101)(14, 88)(15, 118)(16, 120)(17, 89)(18, 113)(19, 114)(20, 122)(21, 102)(22, 123)(23, 116)(24, 126)(25, 100)(26, 93)(27, 98)(28, 110)(29, 95)(30, 121)(31, 111)(32, 97)(33, 104)(34, 115)(35, 99)(36, 119)(37, 124)(38, 108)(39, 117)(40, 106)(41, 107)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.697
Graph:: bipartite
	v = 5 e = 84 f = 45
	degree seq :: [ 28^3, 42^2 ]

E18.696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-2, (Y1^-1 * Y2^2)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^14, (Y3^-1 * Y1^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 37, 79, 36, 78, 42, 84, 27, 69, 39, 81, 25, 67, 38, 80, 32, 74, 13, 55, 4, 46)(3, 45, 9, 51, 17, 59, 30, 72, 33, 75, 14, 56, 23, 65, 8, 50, 22, 64, 35, 77, 40, 82, 34, 76, 28, 70, 11, 53)(5, 47, 15, 57, 19, 61, 29, 71, 41, 83, 26, 68, 31, 73, 12, 54, 21, 63, 7, 49, 20, 62, 24, 66, 10, 52, 16, 58)(85, 127, 87, 129, 94, 136, 97, 139, 112, 154, 104, 146, 122, 164, 124, 166, 105, 147, 123, 165, 106, 148, 115, 157, 126, 168, 107, 149, 125, 167, 121, 163, 117, 159, 103, 145, 90, 132, 101, 143, 89, 131)(86, 128, 91, 133, 98, 140, 88, 130, 96, 138, 114, 156, 116, 158, 110, 152, 93, 135, 109, 151, 113, 155, 95, 137, 111, 153, 99, 141, 118, 160, 120, 162, 100, 142, 119, 161, 102, 144, 108, 150, 92, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 98)(8, 86)(9, 109)(10, 97)(11, 111)(12, 114)(13, 112)(14, 88)(15, 118)(16, 119)(17, 89)(18, 108)(19, 90)(20, 122)(21, 123)(22, 115)(23, 125)(24, 92)(25, 113)(26, 93)(27, 99)(28, 104)(29, 95)(30, 116)(31, 126)(32, 110)(33, 103)(34, 120)(35, 102)(36, 100)(37, 117)(38, 124)(39, 106)(40, 105)(41, 121)(42, 107)(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) :: { ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.699
Graph:: bipartite
	v = 5 e = 84 f = 45
	degree seq :: [ 28^3, 42^2 ]

E18.697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, (Y2^-2 * R)^2, Y2^4 * Y3^-3, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 100, 142, 109, 151, 120, 162, 125, 167, 124, 166, 126, 168, 123, 165, 117, 159, 111, 153, 97, 139, 88, 130)(87, 129, 93, 135, 101, 143, 92, 134, 105, 147, 113, 155, 121, 163, 103, 145, 119, 161, 115, 157, 99, 141, 116, 158, 112, 154, 95, 137)(89, 131, 98, 140, 102, 144, 110, 152, 94, 136, 108, 150, 118, 160, 107, 149, 122, 164, 106, 148, 114, 156, 96, 138, 104, 146, 91, 133)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 103)(8, 86)(9, 88)(10, 109)(11, 111)(12, 113)(13, 112)(14, 115)(15, 89)(16, 98)(17, 118)(18, 90)(19, 120)(20, 97)(21, 122)(22, 92)(23, 93)(24, 95)(25, 105)(26, 116)(27, 106)(28, 102)(29, 100)(30, 117)(31, 124)(32, 123)(33, 99)(34, 125)(35, 104)(36, 110)(37, 114)(38, 126)(39, 107)(40, 108)(41, 121)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 42 ), ( 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.695
Graph:: simple bipartite
	v = 45 e = 84 f = 5
	degree seq :: [ 2^42, 28^3 ]

E18.698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y3^-1 * Y2^-1 * Y3^2 * Y2^-1, Y2^3 * Y3^-1 * Y2 * Y3^-1, Y3^6 * Y2^2, (Y3^-1 * Y2^-1 * Y3^-2)^2, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 102, 144, 118, 160, 109, 151, 111, 153, 121, 163, 117, 159, 115, 157, 122, 164, 112, 154, 97, 139, 88, 130)(87, 129, 93, 135, 103, 145, 105, 147, 120, 162, 124, 166, 125, 167, 116, 158, 101, 143, 98, 140, 108, 150, 92, 134, 107, 149, 95, 137)(89, 131, 99, 141, 104, 146, 96, 138, 106, 148, 91, 133, 94, 136, 110, 152, 119, 161, 123, 165, 126, 168, 114, 156, 113, 155, 100, 142)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 109)(10, 111)(11, 102)(12, 93)(13, 107)(14, 88)(15, 95)(16, 92)(17, 89)(18, 110)(19, 119)(20, 90)(21, 121)(22, 118)(23, 106)(24, 104)(25, 123)(26, 124)(27, 125)(28, 99)(29, 97)(30, 98)(31, 100)(32, 112)(33, 101)(34, 120)(35, 117)(36, 126)(37, 114)(38, 108)(39, 116)(40, 115)(41, 113)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 42 ), ( 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.693
Graph:: simple bipartite
	v = 45 e = 84 f = 5
	degree seq :: [ 2^42, 28^3 ]

E18.699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3 * R * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, (Y2^-2 * R)^2, (Y3^3 * Y2^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^9, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 102, 144, 118, 160, 115, 157, 117, 159, 122, 164, 110, 152, 112, 154, 120, 162, 109, 151, 97, 139, 88, 130)(87, 129, 93, 135, 103, 145, 98, 140, 107, 149, 92, 134, 101, 143, 116, 158, 119, 161, 123, 165, 126, 168, 114, 156, 113, 155, 95, 137)(89, 131, 99, 141, 104, 146, 108, 150, 121, 163, 125, 167, 124, 166, 111, 153, 94, 136, 96, 138, 106, 148, 91, 133, 105, 147, 100, 142)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 95)(8, 86)(9, 109)(10, 110)(11, 112)(12, 114)(13, 113)(14, 88)(15, 98)(16, 93)(17, 89)(18, 100)(19, 106)(20, 90)(21, 97)(22, 120)(23, 105)(24, 92)(25, 111)(26, 119)(27, 123)(28, 125)(29, 124)(30, 122)(31, 99)(32, 102)(33, 101)(34, 107)(35, 104)(36, 126)(37, 118)(38, 108)(39, 115)(40, 117)(41, 116)(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) :: { ( 28, 42 ), ( 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.696
Graph:: simple bipartite
	v = 45 e = 84 f = 5
	degree seq :: [ 2^42, 28^3 ]

E18.700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y2^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-2)^2, Y2 * Y3^-1 * Y2 * R * Y2^-1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^14, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * R * Y3^-1 * Y2 * R, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 102, 144, 121, 163, 120, 162, 126, 168, 111, 153, 123, 165, 109, 151, 122, 164, 116, 158, 97, 139, 88, 130)(87, 129, 93, 135, 101, 143, 114, 156, 117, 159, 98, 140, 107, 149, 92, 134, 106, 148, 119, 161, 124, 166, 118, 160, 112, 154, 95, 137)(89, 131, 99, 141, 103, 145, 113, 155, 125, 167, 110, 152, 115, 157, 96, 138, 105, 147, 91, 133, 104, 146, 108, 150, 94, 136, 100, 142)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 101)(7, 98)(8, 86)(9, 109)(10, 97)(11, 111)(12, 114)(13, 112)(14, 88)(15, 118)(16, 119)(17, 89)(18, 108)(19, 90)(20, 122)(21, 123)(22, 115)(23, 125)(24, 92)(25, 113)(26, 93)(27, 99)(28, 104)(29, 95)(30, 116)(31, 126)(32, 110)(33, 103)(34, 120)(35, 102)(36, 100)(37, 117)(38, 124)(39, 106)(40, 105)(41, 121)(42, 107)(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, 42 ), ( 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.692
Graph:: simple bipartite
	v = 45 e = 84 f = 5
	degree seq :: [ 2^42, 28^3 ]

E18.701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-2 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y2^14, (Y3 * Y2^-1)^14, (Y3^-1 * Y1^-1)^21 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 102, 144, 121, 163, 112, 154, 123, 165, 109, 151, 122, 164, 119, 161, 125, 167, 115, 157, 97, 139, 88, 130)(87, 129, 93, 135, 103, 145, 120, 162, 124, 166, 118, 160, 117, 159, 98, 140, 108, 150, 92, 134, 107, 149, 105, 147, 101, 143, 95, 137)(89, 131, 99, 141, 94, 136, 111, 153, 114, 156, 96, 138, 106, 148, 91, 133, 104, 146, 113, 155, 126, 168, 110, 152, 116, 158, 100, 142)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 109)(10, 90)(11, 112)(12, 92)(13, 101)(14, 88)(15, 118)(16, 120)(17, 89)(18, 113)(19, 114)(20, 122)(21, 102)(22, 123)(23, 116)(24, 126)(25, 100)(26, 93)(27, 98)(28, 110)(29, 95)(30, 121)(31, 111)(32, 97)(33, 104)(34, 115)(35, 99)(36, 119)(37, 124)(38, 108)(39, 117)(40, 106)(41, 107)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 42 ), ( 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42, 28, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.694
Graph:: simple bipartite
	v = 45 e = 84 f = 5
	degree seq :: [ 2^42, 28^3 ]

E18.702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y3^2 * Y1 * Y3^2 * Y1^2, Y1 * Y3 * Y1 * Y3 * Y1^3, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 16, 58, 33, 75, 38, 80, 42, 84, 40, 82, 25, 67, 10, 52, 20, 62, 31, 73, 15, 57, 22, 64, 36, 78, 41, 83, 39, 81, 24, 66, 28, 70, 12, 54, 4, 46)(3, 45, 9, 51, 23, 65, 30, 72, 13, 55, 27, 69, 35, 77, 18, 60, 7, 49, 19, 61, 32, 74, 14, 56, 5, 47, 11, 53, 26, 68, 34, 76, 17, 59, 29, 71, 37, 79, 21, 63, 8, 50)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 94)(4, 95)(5, 85)(6, 101)(7, 104)(8, 86)(9, 108)(10, 103)(11, 109)(12, 111)(13, 88)(14, 106)(15, 89)(16, 114)(17, 115)(18, 90)(19, 112)(20, 113)(21, 120)(22, 92)(23, 117)(24, 116)(25, 93)(26, 123)(27, 124)(28, 121)(29, 96)(30, 99)(31, 97)(32, 122)(33, 98)(34, 100)(35, 125)(36, 102)(37, 126)(38, 105)(39, 107)(40, 110)(41, 118)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.691
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {14, 14, 21})
Quotient :: dipole
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y3^-2 * Y1 * Y3^2, (Y1^-1 * Y3^-1 * Y1^-2)^2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 18, 60, 34, 76, 32, 74, 17, 59, 23, 65, 25, 67, 39, 81, 40, 82, 42, 84, 41, 83, 27, 69, 26, 68, 10, 52, 21, 63, 37, 79, 29, 71, 13, 55, 4, 46)(3, 45, 9, 51, 24, 66, 35, 77, 33, 75, 16, 58, 5, 47, 15, 57, 7, 49, 20, 62, 38, 80, 30, 72, 28, 70, 12, 54, 8, 50, 22, 64, 19, 61, 36, 78, 31, 73, 14, 56, 11, 53)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 90)(10, 106)(11, 107)(12, 110)(13, 100)(14, 88)(15, 109)(16, 111)(17, 89)(18, 119)(19, 121)(20, 102)(21, 108)(22, 123)(23, 92)(24, 124)(25, 93)(26, 99)(27, 95)(28, 101)(29, 115)(30, 97)(31, 125)(32, 98)(33, 116)(34, 114)(35, 113)(36, 118)(37, 122)(38, 126)(39, 104)(40, 120)(41, 112)(42, 117)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 28, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.690
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.704 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^7, (T1^-1 * T2^-1)^42 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 31, 35, 23, 11, 21, 32, 39, 41, 34, 22, 33, 40, 42, 37, 27, 14, 26, 36, 38, 29, 16, 6, 15, 28, 30, 18, 8, 2, 7, 17, 25, 13, 5)(43, 44, 48, 56, 64, 53, 46)(45, 49, 57, 68, 75, 63, 52)(47, 50, 58, 69, 76, 65, 54)(51, 59, 70, 78, 82, 74, 62)(55, 60, 71, 79, 83, 77, 66)(61, 67, 72, 80, 84, 81, 73)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^7 ), ( 84^42 ) }
Outer automorphisms :: reflexible
Dual of E18.712
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 42 f = 1
	degree seq :: [ 7^6, 42 ]

E18.705 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-7, T1^7, T1^-2 * T2^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 16, 6, 15, 28, 39, 41, 34, 22, 33, 40, 36, 24, 12, 4, 10, 20, 31, 18, 8, 2, 7, 17, 30, 38, 27, 14, 26, 37, 42, 35, 23, 11, 21, 32, 25, 13, 5)(43, 44, 48, 56, 64, 53, 46)(45, 49, 57, 68, 75, 63, 52)(47, 50, 58, 69, 76, 65, 54)(51, 59, 70, 79, 82, 74, 62)(55, 60, 71, 80, 83, 77, 66)(61, 72, 81, 84, 78, 67, 73)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^7 ), ( 84^42 ) }
Outer automorphisms :: reflexible
Dual of E18.711
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 42 f = 1
	degree seq :: [ 7^6, 42 ]

E18.706 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-7, T2^-4 * T1^-2 * T2^-2, T1 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 23, 11, 21, 34, 41, 38, 27, 14, 26, 37, 31, 18, 8, 2, 7, 17, 30, 24, 12, 4, 10, 20, 33, 40, 36, 22, 35, 42, 39, 29, 16, 6, 15, 28, 25, 13, 5)(43, 44, 48, 56, 64, 53, 46)(45, 49, 57, 68, 77, 63, 52)(47, 50, 58, 69, 78, 65, 54)(51, 59, 70, 79, 84, 76, 62)(55, 60, 71, 80, 82, 74, 66)(61, 72, 67, 73, 81, 83, 75)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^7 ), ( 84^42 ) }
Outer automorphisms :: reflexible
Dual of E18.714
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 42 f = 1
	degree seq :: [ 7^6, 42 ]

E18.707 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^7, T1^7, T1^3 * T2^-6, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 27, 14, 26, 40, 38, 24, 12, 4, 10, 20, 33, 29, 16, 6, 15, 28, 41, 37, 23, 11, 21, 34, 31, 18, 8, 2, 7, 17, 30, 42, 36, 22, 35, 39, 25, 13, 5)(43, 44, 48, 56, 64, 53, 46)(45, 49, 57, 68, 77, 63, 52)(47, 50, 58, 69, 78, 65, 54)(51, 59, 70, 82, 81, 76, 62)(55, 60, 71, 74, 84, 79, 66)(61, 72, 83, 80, 67, 73, 75)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^7 ), ( 84^42 ) }
Outer automorphisms :: reflexible
Dual of E18.713
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 42 f = 1
	degree seq :: [ 7^6, 42 ]

E18.708 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T2^6 * T1^3, (T2^2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 32, 36, 22, 35, 42, 31, 18, 8, 2, 7, 17, 30, 37, 23, 11, 21, 34, 41, 29, 16, 6, 15, 28, 38, 24, 12, 4, 10, 20, 33, 40, 27, 14, 26, 39, 25, 13, 5)(43, 44, 48, 56, 64, 53, 46)(45, 49, 57, 68, 77, 63, 52)(47, 50, 58, 69, 78, 65, 54)(51, 59, 70, 81, 84, 76, 62)(55, 60, 71, 82, 74, 79, 66)(61, 72, 80, 67, 73, 83, 75)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^7 ), ( 84^42 ) }
Outer automorphisms :: reflexible
Dual of E18.715
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 42 f = 1
	degree seq :: [ 7^6, 42 ]

E18.709 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2^2 * T1^-3 * T2^-1 * T1^-2, T1 * T2 * T1 * T2^7, T2^4 * T1^2 * T2^-4 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 31, 21, 11, 14, 24, 34, 41, 38, 28, 18, 8, 2, 7, 17, 27, 37, 32, 22, 12, 4, 10, 20, 30, 40, 42, 36, 26, 16, 6, 15, 25, 35, 33, 23, 13, 5)(43, 44, 48, 56, 52, 45, 49, 57, 66, 62, 51, 59, 67, 76, 72, 61, 69, 77, 83, 82, 71, 79, 75, 80, 84, 81, 74, 65, 70, 78, 73, 64, 55, 60, 68, 63, 54, 47, 50, 58, 53, 46)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.716
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.710 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 42, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-1 * T2, T2^-1 * T1^-9 * T2^-2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 36, 39, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 37, 28, 35, 30, 21, 11, 19, 13, 5)(43, 44, 48, 56, 65, 73, 81, 77, 69, 61, 52, 45, 49, 57, 66, 74, 82, 80, 72, 64, 55, 60, 51, 59, 68, 76, 84, 79, 71, 63, 54, 47, 50, 58, 67, 75, 83, 78, 70, 62, 53, 46)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.717
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.711 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1 * T2^6, T1^7, (T1^-1 * T2^-1)^42 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 31, 73, 35, 77, 23, 65, 11, 53, 21, 63, 32, 74, 39, 81, 41, 83, 34, 76, 22, 64, 33, 75, 40, 82, 42, 84, 37, 79, 27, 69, 14, 56, 26, 68, 36, 78, 38, 80, 29, 71, 16, 58, 6, 48, 15, 57, 28, 70, 30, 72, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 68)(16, 69)(17, 70)(18, 71)(19, 67)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 72)(26, 75)(27, 76)(28, 78)(29, 79)(30, 80)(31, 61)(32, 62)(33, 63)(34, 65)(35, 66)(36, 82)(37, 83)(38, 84)(39, 73)(40, 74)(41, 77)(42, 81)
	local type(s) :: { ( 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.705
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 7
	degree seq :: [ 84 ]

E18.712 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-7, T1^7, T1^-2 * T2^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 29, 71, 16, 58, 6, 48, 15, 57, 28, 70, 39, 81, 41, 83, 34, 76, 22, 64, 33, 75, 40, 82, 36, 78, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 31, 73, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 30, 72, 38, 80, 27, 69, 14, 56, 26, 68, 37, 79, 42, 84, 35, 77, 23, 65, 11, 53, 21, 63, 32, 74, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 73)(26, 75)(27, 76)(28, 79)(29, 80)(30, 81)(31, 61)(32, 62)(33, 63)(34, 65)(35, 66)(36, 67)(37, 82)(38, 83)(39, 84)(40, 74)(41, 77)(42, 78)
	local type(s) :: { ( 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.704
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 7
	degree seq :: [ 84 ]

E18.713 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1^-7, T2^-4 * T1^-2 * T2^-2, T1 * T2^-1 * T1 * T2^-2 * T1^2 * T2^-3 * T1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 32, 74, 23, 65, 11, 53, 21, 63, 34, 76, 41, 83, 38, 80, 27, 69, 14, 56, 26, 68, 37, 79, 31, 73, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 30, 72, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 33, 75, 40, 82, 36, 78, 22, 64, 35, 77, 42, 84, 39, 81, 29, 71, 16, 58, 6, 48, 15, 57, 28, 70, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 73)(26, 77)(27, 78)(28, 79)(29, 80)(30, 67)(31, 81)(32, 66)(33, 61)(34, 62)(35, 63)(36, 65)(37, 84)(38, 82)(39, 83)(40, 74)(41, 75)(42, 76)
	local type(s) :: { ( 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.707
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 7
	degree seq :: [ 84 ]

E18.714 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^7, T1^7, T1^3 * T2^-6, T1^-1 * T2^-1 * T1^-2 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 32, 74, 27, 69, 14, 56, 26, 68, 40, 82, 38, 80, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 33, 75, 29, 71, 16, 58, 6, 48, 15, 57, 28, 70, 41, 83, 37, 79, 23, 65, 11, 53, 21, 63, 34, 76, 31, 73, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 30, 72, 42, 84, 36, 78, 22, 64, 35, 77, 39, 81, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 73)(26, 77)(27, 78)(28, 82)(29, 74)(30, 83)(31, 75)(32, 84)(33, 61)(34, 62)(35, 63)(36, 65)(37, 66)(38, 67)(39, 76)(40, 81)(41, 80)(42, 79)
	local type(s) :: { ( 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.706
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 7
	degree seq :: [ 84 ]

E18.715 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^7, T1^7, T2^6 * T1^3, (T2^2 * T1^-1 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 32, 74, 36, 78, 22, 64, 35, 77, 42, 84, 31, 73, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 30, 72, 37, 79, 23, 65, 11, 53, 21, 63, 34, 76, 41, 83, 29, 71, 16, 58, 6, 48, 15, 57, 28, 70, 38, 80, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 33, 75, 40, 82, 27, 69, 14, 56, 26, 68, 39, 81, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 64)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 73)(26, 77)(27, 78)(28, 81)(29, 82)(30, 80)(31, 83)(32, 79)(33, 61)(34, 62)(35, 63)(36, 65)(37, 66)(38, 67)(39, 84)(40, 74)(41, 75)(42, 76)
	local type(s) :: { ( 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42, 7, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.708
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 7
	degree seq :: [ 84 ]

E18.716 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6 * T2, T2^7, 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^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 29, 71, 30, 72, 18, 60, 8, 50)(4, 46, 10, 52, 20, 62, 31, 73, 35, 77, 24, 66, 12, 54)(6, 48, 15, 57, 27, 69, 37, 79, 38, 80, 28, 70, 16, 58)(11, 53, 21, 63, 32, 74, 39, 81, 41, 83, 34, 76, 23, 65)(14, 56, 22, 64, 33, 75, 40, 82, 42, 84, 36, 78, 26, 68)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 65)(15, 64)(16, 68)(17, 69)(18, 70)(19, 71)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 72)(26, 76)(27, 75)(28, 78)(29, 79)(30, 80)(31, 61)(32, 62)(33, 63)(34, 66)(35, 67)(36, 83)(37, 82)(38, 84)(39, 73)(40, 74)(41, 77)(42, 81)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.709
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.717 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 42, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-7, T2^7, T1^6 * T2^-3, (T1^-1 * T2^-1)^42 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 25, 67, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 31, 73, 32, 74, 18, 60, 8, 50)(4, 46, 10, 52, 20, 62, 33, 75, 39, 81, 24, 66, 12, 54)(6, 48, 15, 57, 29, 71, 42, 84, 36, 78, 30, 72, 16, 58)(11, 53, 21, 63, 34, 76, 26, 68, 40, 82, 38, 80, 23, 65)(14, 56, 27, 69, 41, 83, 37, 79, 22, 64, 35, 77, 28, 70)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 74)(26, 75)(27, 82)(28, 76)(29, 83)(30, 77)(31, 84)(32, 78)(33, 61)(34, 62)(35, 63)(36, 64)(37, 65)(38, 66)(39, 67)(40, 81)(41, 80)(42, 79)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.710
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^6 * Y1, Y1^7, Y2^2 * Y3 * Y1^-1 * Y2^-2 * 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 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 33, 75, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 27, 69, 34, 76, 23, 65, 12, 54)(9, 51, 17, 59, 28, 70, 36, 78, 40, 82, 32, 74, 20, 62)(13, 55, 18, 60, 29, 71, 37, 79, 41, 83, 35, 77, 24, 66)(19, 61, 25, 67, 30, 72, 38, 80, 42, 84, 39, 81, 31, 73)(85, 127, 87, 129, 93, 135, 103, 145, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 115, 157, 119, 161, 107, 149, 95, 137, 105, 147, 116, 158, 123, 165, 125, 167, 118, 160, 106, 148, 117, 159, 124, 166, 126, 168, 121, 163, 111, 153, 98, 140, 110, 152, 120, 162, 122, 164, 113, 155, 100, 142, 90, 132, 99, 141, 112, 154, 114, 156, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 109, 151, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 106)(12, 107)(13, 108)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 115)(20, 116)(21, 117)(22, 98)(23, 118)(24, 119)(25, 103)(26, 99)(27, 100)(28, 101)(29, 102)(30, 109)(31, 123)(32, 124)(33, 110)(34, 111)(35, 125)(36, 112)(37, 113)(38, 114)(39, 126)(40, 120)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.728
Graph:: bipartite
	v = 7 e = 84 f = 43
	degree seq :: [ 14^6, 84 ]

E18.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1^7, Y2^2 * Y1^-2 * Y2^-2 * Y1 * Y3^-1, Y1 * Y2 * Y1 * Y2^5 * Y1, Y2 * Y3 * Y2 * Y3 * Y2^4 * Y1^-2, Y1^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, 43, 2, 44, 6, 48, 14, 56, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 35, 77, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 27, 69, 36, 78, 23, 65, 12, 54)(9, 51, 17, 59, 28, 70, 39, 81, 42, 84, 34, 76, 20, 62)(13, 55, 18, 60, 29, 71, 40, 82, 32, 74, 37, 79, 24, 66)(19, 61, 30, 72, 38, 80, 25, 67, 31, 73, 41, 83, 33, 75)(85, 127, 87, 129, 93, 135, 103, 145, 116, 158, 120, 162, 106, 148, 119, 161, 126, 168, 115, 157, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 114, 156, 121, 163, 107, 149, 95, 137, 105, 147, 118, 160, 125, 167, 113, 155, 100, 142, 90, 132, 99, 141, 112, 154, 122, 164, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 117, 159, 124, 166, 111, 153, 98, 140, 110, 152, 123, 165, 109, 151, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 106)(12, 107)(13, 108)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 117)(20, 118)(21, 119)(22, 98)(23, 120)(24, 121)(25, 122)(26, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 109)(32, 124)(33, 125)(34, 126)(35, 110)(36, 111)(37, 116)(38, 114)(39, 112)(40, 113)(41, 115)(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) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.731
Graph:: bipartite
	v = 7 e = 84 f = 43
	degree seq :: [ 14^6, 84 ]

E18.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^6 * Y1^-1, Y1^7, Y2^2 * Y3^2 * Y2 * Y1^-1 * Y2^3, Y3 * Y1^-1 * 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 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 35, 77, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 27, 69, 36, 78, 23, 65, 12, 54)(9, 51, 17, 59, 28, 70, 40, 82, 39, 81, 34, 76, 20, 62)(13, 55, 18, 60, 29, 71, 32, 74, 42, 84, 37, 79, 24, 66)(19, 61, 30, 72, 41, 83, 38, 80, 25, 67, 31, 73, 33, 75)(85, 127, 87, 129, 93, 135, 103, 145, 116, 158, 111, 153, 98, 140, 110, 152, 124, 166, 122, 164, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 117, 159, 113, 155, 100, 142, 90, 132, 99, 141, 112, 154, 125, 167, 121, 163, 107, 149, 95, 137, 105, 147, 118, 160, 115, 157, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 114, 156, 126, 168, 120, 162, 106, 148, 119, 161, 123, 165, 109, 151, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 106)(12, 107)(13, 108)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 117)(20, 118)(21, 119)(22, 98)(23, 120)(24, 121)(25, 122)(26, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 109)(32, 113)(33, 115)(34, 123)(35, 110)(36, 111)(37, 126)(38, 125)(39, 124)(40, 112)(41, 114)(42, 116)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.729
Graph:: bipartite
	v = 7 e = 84 f = 43
	degree seq :: [ 14^6, 84 ]

E18.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y1^7, Y2^-1 * Y3 * Y2^-5 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-2 * Y3^-2 * Y2^-3, Y3^14, Y3^-3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 35, 77, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 27, 69, 36, 78, 23, 65, 12, 54)(9, 51, 17, 59, 28, 70, 37, 79, 42, 84, 34, 76, 20, 62)(13, 55, 18, 60, 29, 71, 38, 80, 40, 82, 32, 74, 24, 66)(19, 61, 30, 72, 25, 67, 31, 73, 39, 81, 41, 83, 33, 75)(85, 127, 87, 129, 93, 135, 103, 145, 116, 158, 107, 149, 95, 137, 105, 147, 118, 160, 125, 167, 122, 164, 111, 153, 98, 140, 110, 152, 121, 163, 115, 157, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 114, 156, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 117, 159, 124, 166, 120, 162, 106, 148, 119, 161, 126, 168, 123, 165, 113, 155, 100, 142, 90, 132, 99, 141, 112, 154, 109, 151, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 106)(12, 107)(13, 108)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 117)(20, 118)(21, 119)(22, 98)(23, 120)(24, 116)(25, 114)(26, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 109)(32, 124)(33, 125)(34, 126)(35, 110)(36, 111)(37, 112)(38, 113)(39, 115)(40, 122)(41, 123)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.730
Graph:: bipartite
	v = 7 e = 84 f = 43
	degree seq :: [ 14^6, 84 ]

E18.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-4 * Y1 * Y3^-2, Y1^7, Y2^2 * Y3 * Y2^4 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^2 * Y3^-2 * Y2^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 33, 75, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 27, 69, 34, 76, 23, 65, 12, 54)(9, 51, 17, 59, 28, 70, 37, 79, 40, 82, 32, 74, 20, 62)(13, 55, 18, 60, 29, 71, 38, 80, 41, 83, 35, 77, 24, 66)(19, 61, 30, 72, 39, 81, 42, 84, 36, 78, 25, 67, 31, 73)(85, 127, 87, 129, 93, 135, 103, 145, 113, 155, 100, 142, 90, 132, 99, 141, 112, 154, 123, 165, 125, 167, 118, 160, 106, 148, 117, 159, 124, 166, 120, 162, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 115, 157, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 114, 156, 122, 164, 111, 153, 98, 140, 110, 152, 121, 163, 126, 168, 119, 161, 107, 149, 95, 137, 105, 147, 116, 158, 109, 151, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 106)(12, 107)(13, 108)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 115)(20, 116)(21, 117)(22, 98)(23, 118)(24, 119)(25, 120)(26, 99)(27, 100)(28, 101)(29, 102)(30, 103)(31, 109)(32, 124)(33, 110)(34, 111)(35, 125)(36, 126)(37, 112)(38, 113)(39, 114)(40, 121)(41, 122)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.727
Graph:: bipartite
	v = 7 e = 84 f = 43
	degree seq :: [ 14^6, 84 ]

E18.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2^-4, Y2^-2 * Y1^2 * Y2^2 * Y1^-2, Y2 * Y1 * Y2^2 * Y1^-2 * Y2^2, Y2 * Y1 * Y2 * Y1^7, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 24, 66, 34, 76, 33, 75, 23, 65, 13, 55, 18, 60, 28, 70, 38, 80, 42, 84, 40, 82, 30, 72, 20, 62, 10, 52, 3, 45, 7, 49, 15, 57, 25, 67, 35, 77, 32, 74, 22, 64, 12, 54, 5, 47, 8, 50, 16, 58, 26, 68, 36, 78, 41, 83, 39, 81, 29, 71, 19, 61, 9, 51, 17, 59, 27, 69, 37, 79, 31, 73, 21, 63, 11, 53, 4, 46)(85, 127, 87, 129, 93, 135, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 112, 154, 100, 142, 90, 132, 99, 141, 111, 153, 122, 164, 110, 152, 98, 140, 109, 151, 121, 163, 126, 168, 120, 162, 108, 150, 119, 161, 115, 157, 124, 166, 125, 167, 118, 160, 116, 158, 105, 147, 114, 156, 123, 165, 117, 159, 106, 148, 95, 137, 104, 146, 113, 155, 107, 149, 96, 138, 88, 130, 94, 136, 103, 145, 97, 139, 89, 131)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 102)(10, 103)(11, 104)(12, 88)(13, 89)(14, 109)(15, 111)(16, 90)(17, 112)(18, 92)(19, 97)(20, 113)(21, 114)(22, 95)(23, 96)(24, 119)(25, 121)(26, 98)(27, 122)(28, 100)(29, 107)(30, 123)(31, 124)(32, 105)(33, 106)(34, 116)(35, 115)(36, 108)(37, 126)(38, 110)(39, 117)(40, 125)(41, 118)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 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 E18.725
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^9 * Y1^3, (Y3^-1 * Y1^-1)^7 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 9, 51, 17, 59, 24, 66, 31, 73, 27, 69, 33, 75, 40, 82, 38, 80, 42, 84, 36, 78, 29, 71, 22, 64, 26, 68, 20, 62, 12, 54, 5, 47, 8, 50, 16, 58, 10, 52, 3, 45, 7, 49, 15, 57, 23, 65, 19, 61, 25, 67, 32, 74, 39, 81, 35, 77, 41, 83, 37, 79, 30, 72, 34, 76, 28, 70, 21, 63, 13, 55, 18, 60, 11, 53, 4, 46)(85, 127, 87, 129, 93, 135, 103, 145, 111, 153, 119, 161, 126, 168, 118, 160, 110, 152, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 109, 151, 117, 159, 125, 167, 120, 162, 112, 154, 104, 146, 95, 137, 100, 142, 90, 132, 99, 141, 108, 150, 116, 158, 124, 166, 121, 163, 113, 155, 105, 147, 96, 138, 88, 130, 94, 136, 98, 140, 107, 149, 115, 157, 123, 165, 122, 164, 114, 156, 106, 148, 97, 139, 89, 131)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 98)(11, 100)(12, 88)(13, 89)(14, 107)(15, 108)(16, 90)(17, 109)(18, 92)(19, 111)(20, 95)(21, 96)(22, 97)(23, 115)(24, 116)(25, 117)(26, 102)(27, 119)(28, 104)(29, 105)(30, 106)(31, 123)(32, 124)(33, 125)(34, 110)(35, 126)(36, 112)(37, 113)(38, 114)(39, 122)(40, 121)(41, 120)(42, 118)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 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 E18.726
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y3^-6 * Y2, Y2^7, 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^-3 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 98, 140, 106, 148, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 110, 152, 116, 158, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 111, 153, 117, 159, 107, 149, 96, 138)(93, 135, 101, 143, 112, 154, 120, 162, 123, 165, 115, 157, 104, 146)(97, 139, 102, 144, 113, 155, 121, 163, 124, 166, 118, 160, 108, 150)(103, 145, 114, 156, 122, 164, 126, 168, 125, 167, 119, 161, 109, 151)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 110)(15, 112)(16, 90)(17, 114)(18, 92)(19, 102)(20, 109)(21, 115)(22, 116)(23, 95)(24, 96)(25, 97)(26, 120)(27, 98)(28, 122)(29, 100)(30, 113)(31, 119)(32, 123)(33, 106)(34, 107)(35, 108)(36, 126)(37, 111)(38, 121)(39, 125)(40, 117)(41, 118)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.723
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-7, Y2^7, Y2^-2 * Y3^6, (Y2^-1 * Y3)^42, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 98, 140, 106, 148, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 110, 152, 117, 159, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 111, 153, 118, 160, 107, 149, 96, 138)(93, 135, 101, 143, 112, 154, 121, 163, 124, 166, 116, 158, 104, 146)(97, 139, 102, 144, 113, 155, 122, 164, 125, 167, 119, 161, 108, 150)(103, 145, 114, 156, 123, 165, 126, 168, 120, 162, 109, 151, 115, 157)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 110)(15, 112)(16, 90)(17, 114)(18, 92)(19, 113)(20, 115)(21, 116)(22, 117)(23, 95)(24, 96)(25, 97)(26, 121)(27, 98)(28, 123)(29, 100)(30, 122)(31, 102)(32, 109)(33, 124)(34, 106)(35, 107)(36, 108)(37, 126)(38, 111)(39, 125)(40, 120)(41, 118)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.724
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^2 * Y3 * Y1^4, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-4, (Y3 * Y2^-1)^7, 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^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-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, 43, 2, 44, 6, 48, 14, 56, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 26, 68, 34, 76, 24, 66, 13, 55, 18, 60, 28, 70, 36, 78, 41, 83, 35, 77, 25, 67, 30, 72, 38, 80, 42, 84, 39, 81, 31, 73, 19, 61, 29, 71, 37, 79, 40, 82, 32, 74, 20, 62, 9, 51, 17, 59, 27, 69, 33, 75, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 106)(15, 111)(16, 90)(17, 113)(18, 92)(19, 109)(20, 115)(21, 116)(22, 117)(23, 95)(24, 96)(25, 97)(26, 98)(27, 121)(28, 100)(29, 114)(30, 102)(31, 119)(32, 123)(33, 124)(34, 107)(35, 108)(36, 110)(37, 122)(38, 112)(39, 125)(40, 126)(41, 118)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.722
Graph:: bipartite
	v = 43 e = 84 f = 7
	degree seq :: [ 2^42, 84 ]

E18.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y3^7, Y3^2 * Y1^-6, (Y3 * Y2^-1)^7, 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 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 20, 62, 9, 51, 17, 59, 29, 71, 38, 80, 42, 84, 36, 78, 25, 67, 32, 74, 40, 82, 34, 76, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 37, 79, 33, 75, 19, 61, 31, 73, 39, 81, 41, 83, 35, 77, 24, 66, 13, 55, 18, 60, 30, 72, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 111)(15, 113)(16, 90)(17, 115)(18, 92)(19, 109)(20, 117)(21, 110)(22, 112)(23, 95)(24, 96)(25, 97)(26, 121)(27, 122)(28, 98)(29, 123)(30, 100)(31, 116)(32, 102)(33, 120)(34, 106)(35, 107)(36, 108)(37, 126)(38, 125)(39, 124)(40, 114)(41, 118)(42, 119)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.718
Graph:: bipartite
	v = 43 e = 84 f = 7
	degree seq :: [ 2^42, 84 ]

E18.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^-7, Y3^-2 * Y1^-6, Y1^3 * Y3^-2 * Y1^3 * Y3^-3, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 24, 66, 13, 55, 18, 60, 30, 72, 38, 80, 41, 83, 33, 75, 19, 61, 31, 73, 39, 81, 35, 77, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 37, 79, 36, 78, 25, 67, 32, 74, 40, 82, 42, 84, 34, 76, 20, 62, 9, 51, 17, 59, 29, 71, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 111)(15, 113)(16, 90)(17, 115)(18, 92)(19, 109)(20, 117)(21, 118)(22, 119)(23, 95)(24, 96)(25, 97)(26, 107)(27, 106)(28, 98)(29, 123)(30, 100)(31, 116)(32, 102)(33, 120)(34, 125)(35, 126)(36, 108)(37, 110)(38, 112)(39, 124)(40, 114)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.720
Graph:: bipartite
	v = 43 e = 84 f = 7
	degree seq :: [ 2^42, 84 ]

E18.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-7, Y1^6 * Y3^-3, (Y3 * Y2^-1)^7, (Y1^-1 * Y3^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 33, 75, 19, 61, 31, 73, 42, 84, 37, 79, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 34, 76, 20, 62, 9, 51, 17, 59, 29, 71, 41, 83, 38, 80, 24, 66, 13, 55, 18, 60, 30, 72, 35, 77, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 40, 82, 39, 81, 25, 67, 32, 74, 36, 78, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 111)(15, 113)(16, 90)(17, 115)(18, 92)(19, 109)(20, 117)(21, 118)(22, 119)(23, 95)(24, 96)(25, 97)(26, 124)(27, 125)(28, 98)(29, 126)(30, 100)(31, 116)(32, 102)(33, 123)(34, 110)(35, 112)(36, 114)(37, 106)(38, 107)(39, 108)(40, 122)(41, 121)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.721
Graph:: bipartite
	v = 43 e = 84 f = 7
	degree seq :: [ 2^42, 84 ]

E18.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 42, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^7, Y3^3 * Y1^6, Y3^-14, (Y3 * Y2^-1)^7, Y3^21, (Y1^-1 * Y3^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 26, 68, 39, 81, 25, 67, 32, 74, 42, 84, 35, 77, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 27, 69, 38, 80, 24, 66, 13, 55, 18, 60, 30, 72, 41, 83, 34, 76, 20, 62, 9, 51, 17, 59, 29, 71, 37, 79, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 28, 70, 40, 82, 33, 75, 19, 61, 31, 73, 36, 78, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 111)(15, 113)(16, 90)(17, 115)(18, 92)(19, 109)(20, 117)(21, 118)(22, 119)(23, 95)(24, 96)(25, 97)(26, 122)(27, 121)(28, 98)(29, 120)(30, 100)(31, 116)(32, 102)(33, 123)(34, 124)(35, 125)(36, 126)(37, 106)(38, 107)(39, 108)(40, 110)(41, 112)(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) :: { ( 14, 84 ), ( 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.719
Graph:: bipartite
	v = 43 e = 84 f = 7
	degree seq :: [ 2^42, 84 ]

E18.732 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^-9, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 32, 22, 12, 4, 10, 19, 29, 39, 44, 41, 31, 21, 11, 20, 30, 40, 45, 43, 35, 25, 15, 6, 14, 24, 34, 42, 37, 27, 17, 8, 2, 7, 16, 26, 36, 33, 23, 13, 5)(46, 47, 51, 56, 49)(48, 52, 59, 65, 55)(50, 53, 60, 66, 57)(54, 61, 69, 75, 64)(58, 62, 70, 76, 67)(63, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 87, 90, 84)(78, 82, 88, 89, 83)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^5 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E18.738
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 45 f = 1
	degree seq :: [ 5^9, 45 ]

E18.733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^2 * T2^9, T2^3 * T1^-1 * T2 * T1^-1 * T2^5 * T1^-1, T1^-2 * T2^3 * T1^-2 * T2^3 * T1 * T2^3, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 41, 31, 21, 11, 20, 30, 40, 45, 37, 27, 17, 8, 2, 7, 16, 26, 36, 42, 32, 22, 12, 4, 10, 19, 29, 39, 44, 35, 25, 15, 6, 14, 24, 34, 43, 33, 23, 13, 5)(46, 47, 51, 56, 49)(48, 52, 59, 65, 55)(50, 53, 60, 66, 57)(54, 61, 69, 75, 64)(58, 62, 70, 76, 67)(63, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 88, 90, 84)(78, 82, 89, 83, 87)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^5 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E18.737
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 45 f = 1
	degree seq :: [ 5^9, 45 ]

E18.734 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^5, T1^2 * T2^-9, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 35, 25, 15, 6, 14, 24, 34, 44, 42, 32, 22, 12, 4, 10, 19, 29, 39, 37, 27, 17, 8, 2, 7, 16, 26, 36, 45, 41, 31, 21, 11, 20, 30, 40, 43, 33, 23, 13, 5)(46, 47, 51, 56, 49)(48, 52, 59, 65, 55)(50, 53, 60, 66, 57)(54, 61, 69, 75, 64)(58, 62, 70, 76, 67)(63, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 89, 88, 84)(78, 82, 83, 90, 87)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^5 ), ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E18.736
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 45 f = 1
	degree seq :: [ 5^9, 45 ]

E18.735 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^8 * T2^-1, T2^-3 * T1^2 * T2^-3 * T1, (T1^-1 * T2^-1)^5, T2^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 28, 14, 27, 43, 39, 23, 11, 21, 35, 32, 18, 8, 2, 7, 17, 31, 45, 37, 26, 42, 40, 24, 12, 4, 10, 20, 34, 30, 16, 6, 15, 29, 44, 38, 22, 36, 41, 25, 13, 5)(46, 47, 51, 59, 71, 81, 66, 55, 48, 52, 60, 72, 87, 86, 80, 65, 54, 62, 74, 88, 85, 70, 77, 79, 64, 76, 89, 84, 69, 58, 63, 75, 78, 90, 83, 68, 57, 50, 53, 61, 73, 82, 67, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 10^45 ) }
Outer automorphisms :: reflexible
Dual of E18.739
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 9
	degree seq :: [ 45^2 ]

E18.736 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^-9, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 18, 63, 28, 73, 38, 83, 32, 77, 22, 67, 12, 57, 4, 49, 10, 55, 19, 64, 29, 74, 39, 84, 44, 89, 41, 86, 31, 76, 21, 66, 11, 56, 20, 65, 30, 75, 40, 85, 45, 90, 43, 88, 35, 80, 25, 70, 15, 60, 6, 51, 14, 59, 24, 69, 34, 79, 42, 87, 37, 82, 27, 72, 17, 62, 8, 53, 2, 47, 7, 52, 16, 61, 26, 71, 36, 81, 33, 78, 23, 68, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 56)(7, 59)(8, 60)(9, 61)(10, 48)(11, 49)(12, 50)(13, 62)(14, 65)(15, 66)(16, 69)(17, 70)(18, 71)(19, 54)(20, 55)(21, 57)(22, 58)(23, 72)(24, 75)(25, 76)(26, 79)(27, 80)(28, 81)(29, 63)(30, 64)(31, 67)(32, 68)(33, 82)(34, 85)(35, 86)(36, 87)(37, 88)(38, 78)(39, 73)(40, 74)(41, 77)(42, 90)(43, 89)(44, 83)(45, 84)
	local type(s) :: { ( 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45 ) }
Outer automorphisms :: reflexible
Dual of E18.734
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 10
	degree seq :: [ 90 ]

E18.737 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^2 * T2^9, T2^3 * T1^-1 * T2 * T1^-1 * T2^5 * T1^-1, T1^-2 * T2^3 * T1^-2 * T2^3 * T1 * T2^3, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 18, 63, 28, 73, 38, 83, 41, 86, 31, 76, 21, 66, 11, 56, 20, 65, 30, 75, 40, 85, 45, 90, 37, 82, 27, 72, 17, 62, 8, 53, 2, 47, 7, 52, 16, 61, 26, 71, 36, 81, 42, 87, 32, 77, 22, 67, 12, 57, 4, 49, 10, 55, 19, 64, 29, 74, 39, 84, 44, 89, 35, 80, 25, 70, 15, 60, 6, 51, 14, 59, 24, 69, 34, 79, 43, 88, 33, 78, 23, 68, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 56)(7, 59)(8, 60)(9, 61)(10, 48)(11, 49)(12, 50)(13, 62)(14, 65)(15, 66)(16, 69)(17, 70)(18, 71)(19, 54)(20, 55)(21, 57)(22, 58)(23, 72)(24, 75)(25, 76)(26, 79)(27, 80)(28, 81)(29, 63)(30, 64)(31, 67)(32, 68)(33, 82)(34, 85)(35, 86)(36, 88)(37, 89)(38, 87)(39, 73)(40, 74)(41, 77)(42, 78)(43, 90)(44, 83)(45, 84)
	local type(s) :: { ( 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45 ) }
Outer automorphisms :: reflexible
Dual of E18.733
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 10
	degree seq :: [ 90 ]

E18.738 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^5, T1^2 * T2^-9, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 18, 63, 28, 73, 38, 83, 35, 80, 25, 70, 15, 60, 6, 51, 14, 59, 24, 69, 34, 79, 44, 89, 42, 87, 32, 77, 22, 67, 12, 57, 4, 49, 10, 55, 19, 64, 29, 74, 39, 84, 37, 82, 27, 72, 17, 62, 8, 53, 2, 47, 7, 52, 16, 61, 26, 71, 36, 81, 45, 90, 41, 86, 31, 76, 21, 66, 11, 56, 20, 65, 30, 75, 40, 85, 43, 88, 33, 78, 23, 68, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 56)(7, 59)(8, 60)(9, 61)(10, 48)(11, 49)(12, 50)(13, 62)(14, 65)(15, 66)(16, 69)(17, 70)(18, 71)(19, 54)(20, 55)(21, 57)(22, 58)(23, 72)(24, 75)(25, 76)(26, 79)(27, 80)(28, 81)(29, 63)(30, 64)(31, 67)(32, 68)(33, 82)(34, 85)(35, 86)(36, 89)(37, 83)(38, 90)(39, 73)(40, 74)(41, 77)(42, 78)(43, 84)(44, 88)(45, 87)
	local type(s) :: { ( 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45, 5, 45 ) }
Outer automorphisms :: reflexible
Dual of E18.732
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 10
	degree seq :: [ 90 ]

E18.739 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^5, T1^-9 * T2^-1, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 13, 58, 5, 50)(2, 47, 7, 52, 17, 62, 18, 63, 8, 53)(4, 49, 10, 55, 19, 64, 23, 68, 12, 57)(6, 51, 15, 60, 27, 72, 28, 73, 16, 61)(11, 56, 20, 65, 29, 74, 33, 78, 22, 67)(14, 59, 25, 70, 37, 82, 38, 83, 26, 71)(21, 66, 30, 75, 39, 84, 41, 86, 32, 77)(24, 69, 35, 80, 43, 88, 44, 89, 36, 81)(31, 76, 40, 85, 45, 90, 42, 87, 34, 79)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 77)(35, 76)(36, 87)(37, 88)(38, 89)(39, 74)(40, 75)(41, 78)(42, 86)(43, 85)(44, 90)(45, 84)
	local type(s) :: { ( 45^10 ) }
Outer automorphisms :: reflexible
Dual of E18.735
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 45 f = 2
	degree seq :: [ 10^9 ]

E18.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^5, Y3 * Y2^-2 * Y3^-1 * Y1 * Y2^2 * Y3, Y2^-9 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 11, 56, 4, 49)(3, 48, 7, 52, 14, 59, 20, 65, 10, 55)(5, 50, 8, 53, 15, 60, 21, 66, 12, 57)(9, 54, 16, 61, 24, 69, 30, 75, 19, 64)(13, 58, 17, 62, 25, 70, 31, 76, 22, 67)(18, 63, 26, 71, 34, 79, 40, 85, 29, 74)(23, 68, 27, 72, 35, 80, 41, 86, 32, 77)(28, 73, 36, 81, 42, 87, 45, 90, 39, 84)(33, 78, 37, 82, 43, 88, 44, 89, 38, 83)(91, 136, 93, 138, 99, 144, 108, 153, 118, 163, 128, 173, 122, 167, 112, 157, 102, 147, 94, 139, 100, 145, 109, 154, 119, 164, 129, 174, 134, 179, 131, 176, 121, 166, 111, 156, 101, 146, 110, 155, 120, 165, 130, 175, 135, 180, 133, 178, 125, 170, 115, 160, 105, 150, 96, 141, 104, 149, 114, 159, 124, 169, 132, 177, 127, 172, 117, 162, 107, 152, 98, 143, 92, 137, 97, 142, 106, 151, 116, 161, 126, 171, 123, 168, 113, 158, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 109)(10, 110)(11, 96)(12, 111)(13, 112)(14, 97)(15, 98)(16, 99)(17, 103)(18, 119)(19, 120)(20, 104)(21, 105)(22, 121)(23, 122)(24, 106)(25, 107)(26, 108)(27, 113)(28, 129)(29, 130)(30, 114)(31, 115)(32, 131)(33, 128)(34, 116)(35, 117)(36, 118)(37, 123)(38, 134)(39, 135)(40, 124)(41, 125)(42, 126)(43, 127)(44, 133)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.747
Graph:: bipartite
	v = 10 e = 90 f = 46
	degree seq :: [ 10^9, 90 ]

E18.741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y3^-5, Y1^5, Y2^2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-2, Y3^-2 * Y2^9, Y2^4 * Y1 * Y2^5 * Y1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 11, 56, 4, 49)(3, 48, 7, 52, 14, 59, 20, 65, 10, 55)(5, 50, 8, 53, 15, 60, 21, 66, 12, 57)(9, 54, 16, 61, 24, 69, 30, 75, 19, 64)(13, 58, 17, 62, 25, 70, 31, 76, 22, 67)(18, 63, 26, 71, 34, 79, 40, 85, 29, 74)(23, 68, 27, 72, 35, 80, 41, 86, 32, 77)(28, 73, 36, 81, 43, 88, 45, 90, 39, 84)(33, 78, 37, 82, 44, 89, 38, 83, 42, 87)(91, 136, 93, 138, 99, 144, 108, 153, 118, 163, 128, 173, 131, 176, 121, 166, 111, 156, 101, 146, 110, 155, 120, 165, 130, 175, 135, 180, 127, 172, 117, 162, 107, 152, 98, 143, 92, 137, 97, 142, 106, 151, 116, 161, 126, 171, 132, 177, 122, 167, 112, 157, 102, 147, 94, 139, 100, 145, 109, 154, 119, 164, 129, 174, 134, 179, 125, 170, 115, 160, 105, 150, 96, 141, 104, 149, 114, 159, 124, 169, 133, 178, 123, 168, 113, 158, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 109)(10, 110)(11, 96)(12, 111)(13, 112)(14, 97)(15, 98)(16, 99)(17, 103)(18, 119)(19, 120)(20, 104)(21, 105)(22, 121)(23, 122)(24, 106)(25, 107)(26, 108)(27, 113)(28, 129)(29, 130)(30, 114)(31, 115)(32, 131)(33, 132)(34, 116)(35, 117)(36, 118)(37, 123)(38, 134)(39, 135)(40, 124)(41, 125)(42, 128)(43, 126)(44, 127)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.746
Graph:: bipartite
	v = 10 e = 90 f = 46
	degree seq :: [ 10^9, 90 ]

E18.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), Y3^-2 * Y1^3, Y2^2 * Y3 * Y2 * Y3 * Y1 * Y2^-3 * Y1, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 11, 56, 4, 49)(3, 48, 7, 52, 14, 59, 20, 65, 10, 55)(5, 50, 8, 53, 15, 60, 21, 66, 12, 57)(9, 54, 16, 61, 24, 69, 30, 75, 19, 64)(13, 58, 17, 62, 25, 70, 31, 76, 22, 67)(18, 63, 26, 71, 34, 79, 40, 85, 29, 74)(23, 68, 27, 72, 35, 80, 41, 86, 32, 77)(28, 73, 36, 81, 44, 89, 43, 88, 39, 84)(33, 78, 37, 82, 38, 83, 45, 90, 42, 87)(91, 136, 93, 138, 99, 144, 108, 153, 118, 163, 128, 173, 125, 170, 115, 160, 105, 150, 96, 141, 104, 149, 114, 159, 124, 169, 134, 179, 132, 177, 122, 167, 112, 157, 102, 147, 94, 139, 100, 145, 109, 154, 119, 164, 129, 174, 127, 172, 117, 162, 107, 152, 98, 143, 92, 137, 97, 142, 106, 151, 116, 161, 126, 171, 135, 180, 131, 176, 121, 166, 111, 156, 101, 146, 110, 155, 120, 165, 130, 175, 133, 178, 123, 168, 113, 158, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 109)(10, 110)(11, 96)(12, 111)(13, 112)(14, 97)(15, 98)(16, 99)(17, 103)(18, 119)(19, 120)(20, 104)(21, 105)(22, 121)(23, 122)(24, 106)(25, 107)(26, 108)(27, 113)(28, 129)(29, 130)(30, 114)(31, 115)(32, 131)(33, 132)(34, 116)(35, 117)(36, 118)(37, 123)(38, 127)(39, 133)(40, 124)(41, 125)(42, 135)(43, 134)(44, 126)(45, 128)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.745
Graph:: bipartite
	v = 10 e = 90 f = 46
	degree seq :: [ 10^9, 90 ]

E18.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^-1 * Y1 * Y2^-7, Y1^4 * Y2^-2 * Y1^2 * Y2^-1, (Y3^-1 * Y1^-1)^5 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 34, 79, 19, 64, 31, 76, 44, 89, 39, 84, 24, 69, 13, 58, 18, 63, 30, 75, 36, 81, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 27, 72, 42, 87, 41, 86, 33, 78, 45, 90, 38, 83, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 28, 73, 35, 80, 20, 65, 9, 54, 17, 62, 29, 74, 43, 88, 40, 85, 25, 70, 32, 77, 37, 82, 22, 67, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 109, 154, 123, 168, 122, 167, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 121, 166, 135, 180, 127, 172, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 134, 179, 128, 173, 112, 157, 126, 171, 118, 163, 104, 149, 117, 162, 133, 178, 129, 174, 113, 158, 101, 146, 111, 156, 125, 170, 116, 161, 132, 177, 130, 175, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 124, 169, 131, 176, 115, 160, 103, 148, 95, 140)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 119)(16, 96)(17, 121)(18, 98)(19, 123)(20, 124)(21, 125)(22, 126)(23, 101)(24, 102)(25, 103)(26, 132)(27, 133)(28, 104)(29, 134)(30, 106)(31, 135)(32, 108)(33, 122)(34, 131)(35, 116)(36, 118)(37, 120)(38, 112)(39, 113)(40, 114)(41, 115)(42, 130)(43, 129)(44, 128)(45, 127)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 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 E18.744
Graph:: bipartite
	v = 2 e = 90 f = 54
	degree seq :: [ 90^2 ]

E18.744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5, Y2^-1 * Y3^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 101, 146, 94, 139)(93, 138, 97, 142, 104, 149, 110, 155, 100, 145)(95, 140, 98, 143, 105, 150, 111, 156, 102, 147)(99, 144, 106, 151, 114, 159, 120, 165, 109, 154)(103, 148, 107, 152, 115, 160, 121, 166, 112, 157)(108, 153, 116, 161, 124, 169, 129, 174, 119, 164)(113, 158, 117, 162, 125, 170, 130, 175, 122, 167)(118, 163, 126, 171, 132, 177, 134, 179, 128, 173)(123, 168, 127, 172, 133, 178, 135, 180, 131, 176)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 104)(7, 106)(8, 92)(9, 108)(10, 109)(11, 110)(12, 94)(13, 95)(14, 114)(15, 96)(16, 116)(17, 98)(18, 118)(19, 119)(20, 120)(21, 101)(22, 102)(23, 103)(24, 124)(25, 105)(26, 126)(27, 107)(28, 127)(29, 128)(30, 129)(31, 111)(32, 112)(33, 113)(34, 132)(35, 115)(36, 133)(37, 117)(38, 123)(39, 134)(40, 121)(41, 122)(42, 135)(43, 125)(44, 131)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^10 ) }
Outer automorphisms :: reflexible
Dual of E18.743
Graph:: simple bipartite
	v = 54 e = 90 f = 2
	degree seq :: [ 2^45, 10^9 ]

E18.745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^5, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-9, (Y3 * Y2^-1)^5, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 46, 2, 47, 6, 51, 14, 59, 24, 69, 34, 79, 32, 77, 22, 67, 12, 57, 5, 50, 8, 53, 16, 61, 26, 71, 36, 81, 42, 87, 41, 86, 33, 78, 23, 68, 13, 58, 18, 63, 28, 73, 38, 83, 44, 89, 45, 90, 39, 84, 29, 74, 19, 64, 9, 54, 17, 62, 27, 72, 37, 82, 43, 88, 40, 85, 30, 75, 20, 65, 10, 55, 3, 48, 7, 52, 15, 60, 25, 70, 35, 80, 31, 76, 21, 66, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 103)(10, 109)(11, 110)(12, 94)(13, 95)(14, 115)(15, 117)(16, 96)(17, 108)(18, 98)(19, 113)(20, 119)(21, 120)(22, 101)(23, 102)(24, 125)(25, 127)(26, 104)(27, 118)(28, 106)(29, 123)(30, 129)(31, 130)(32, 111)(33, 112)(34, 121)(35, 133)(36, 114)(37, 128)(38, 116)(39, 131)(40, 135)(41, 122)(42, 124)(43, 134)(44, 126)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 10, 90 ), ( 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.742
Graph:: bipartite
	v = 46 e = 90 f = 10
	degree seq :: [ 2^45, 90 ]

E18.746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^2 * Y1^9, (Y1^-1 * Y3^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 24, 69, 34, 79, 43, 88, 33, 78, 23, 68, 13, 58, 18, 63, 28, 73, 38, 83, 45, 90, 40, 85, 30, 75, 20, 65, 10, 55, 3, 48, 7, 52, 15, 60, 25, 70, 35, 80, 42, 87, 32, 77, 22, 67, 12, 57, 5, 50, 8, 53, 16, 61, 26, 71, 36, 81, 44, 89, 39, 84, 29, 74, 19, 64, 9, 54, 17, 62, 27, 72, 37, 82, 41, 86, 31, 76, 21, 66, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 103)(10, 109)(11, 110)(12, 94)(13, 95)(14, 115)(15, 117)(16, 96)(17, 108)(18, 98)(19, 113)(20, 119)(21, 120)(22, 101)(23, 102)(24, 125)(25, 127)(26, 104)(27, 118)(28, 106)(29, 123)(30, 129)(31, 130)(32, 111)(33, 112)(34, 132)(35, 131)(36, 114)(37, 128)(38, 116)(39, 133)(40, 134)(41, 135)(42, 121)(43, 122)(44, 124)(45, 126)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 10, 90 ), ( 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.741
Graph:: bipartite
	v = 46 e = 90 f = 10
	degree seq :: [ 2^45, 90 ]

E18.747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-5, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^-2 * Y1^9, 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 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 24, 69, 34, 79, 39, 84, 29, 74, 19, 64, 9, 54, 17, 62, 27, 72, 37, 82, 45, 90, 42, 87, 32, 77, 22, 67, 12, 57, 5, 50, 8, 53, 16, 61, 26, 71, 36, 81, 40, 85, 30, 75, 20, 65, 10, 55, 3, 48, 7, 52, 15, 60, 25, 70, 35, 80, 44, 89, 43, 88, 33, 78, 23, 68, 13, 58, 18, 63, 28, 73, 38, 83, 41, 86, 31, 76, 21, 66, 11, 56, 4, 49)(91, 136)(92, 137)(93, 138)(94, 139)(95, 140)(96, 141)(97, 142)(98, 143)(99, 144)(100, 145)(101, 146)(102, 147)(103, 148)(104, 149)(105, 150)(106, 151)(107, 152)(108, 153)(109, 154)(110, 155)(111, 156)(112, 157)(113, 158)(114, 159)(115, 160)(116, 161)(117, 162)(118, 163)(119, 164)(120, 165)(121, 166)(122, 167)(123, 168)(124, 169)(125, 170)(126, 171)(127, 172)(128, 173)(129, 174)(130, 175)(131, 176)(132, 177)(133, 178)(134, 179)(135, 180)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 103)(10, 109)(11, 110)(12, 94)(13, 95)(14, 115)(15, 117)(16, 96)(17, 108)(18, 98)(19, 113)(20, 119)(21, 120)(22, 101)(23, 102)(24, 125)(25, 127)(26, 104)(27, 118)(28, 106)(29, 123)(30, 129)(31, 130)(32, 111)(33, 112)(34, 134)(35, 135)(36, 114)(37, 128)(38, 116)(39, 133)(40, 124)(41, 126)(42, 121)(43, 122)(44, 132)(45, 131)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 10, 90 ), ( 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90, 10, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.740
Graph:: bipartite
	v = 46 e = 90 f = 10
	degree seq :: [ 2^45, 90 ]

E18.748 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1, (Y2 * Y3)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^4, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 17, 65, 41, 89, 46, 94, 34, 82, 12, 60, 7, 55)(2, 50, 9, 57, 6, 54, 22, 70, 44, 92, 47, 95, 25, 73, 11, 59)(3, 51, 13, 61, 27, 75, 32, 80, 42, 90, 43, 91, 21, 69, 15, 63)(5, 53, 19, 67, 10, 58, 30, 78, 33, 81, 45, 93, 39, 87, 16, 64)(8, 56, 26, 74, 36, 84, 38, 86, 23, 71, 37, 85, 29, 77, 28, 76)(14, 62, 24, 72, 31, 79, 48, 96, 40, 88, 18, 66, 20, 68, 35, 83)(97, 98, 101)(99, 108, 110)(100, 112, 114)(102, 117, 119)(103, 111, 105)(104, 121, 123)(106, 125, 127)(107, 124, 115)(109, 131, 122)(113, 136, 138)(116, 135, 132)(118, 134, 141)(120, 130, 126)(128, 143, 137)(129, 142, 140)(133, 139, 144)(145, 147, 150)(146, 152, 154)(148, 153, 163)(149, 164, 161)(151, 168, 157)(155, 176, 170)(156, 177, 175)(158, 180, 171)(159, 181, 166)(160, 182, 179)(162, 187, 185)(165, 184, 173)(167, 183, 188)(169, 190, 186)(172, 192, 174)(178, 191, 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) :: { ( 8^3 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E18.754
Graph:: simple bipartite
	v = 38 e = 96 f = 24
	degree seq :: [ 3^32, 16^6 ]

E18.749 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2 * Y1 * Y3^-2, (Y3 * Y1^-1)^2, (Y2 * Y3^-1)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 12, 60, 34, 82, 46, 94, 42, 90, 19, 67, 7, 55)(2, 50, 9, 57, 25, 73, 47, 95, 44, 92, 23, 71, 6, 54, 11, 59)(3, 51, 13, 61, 21, 69, 43, 91, 41, 89, 29, 77, 27, 75, 15, 63)(5, 53, 18, 66, 38, 86, 45, 93, 33, 81, 32, 80, 10, 58, 20, 68)(8, 56, 26, 74, 30, 78, 35, 83, 22, 70, 39, 87, 36, 84, 28, 76)(14, 62, 37, 85, 17, 65, 24, 72, 40, 88, 48, 96, 31, 79, 16, 64)(97, 98, 101)(99, 108, 110)(100, 109, 107)(102, 117, 118)(103, 114, 120)(104, 121, 123)(105, 122, 116)(106, 126, 127)(111, 133, 124)(112, 130, 128)(113, 134, 132)(115, 136, 137)(119, 135, 141)(125, 143, 138)(129, 142, 140)(131, 139, 144)(145, 147, 150)(146, 152, 154)(148, 160, 159)(149, 161, 163)(151, 155, 164)(153, 173, 172)(156, 177, 175)(157, 179, 167)(158, 180, 171)(162, 183, 181)(165, 184, 174)(166, 182, 188)(168, 187, 186)(169, 190, 185)(170, 192, 176)(178, 191, 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) :: { ( 8^3 ), ( 8^16 ) }
Outer automorphisms :: reflexible
Dual of E18.755
Graph:: simple bipartite
	v = 38 e = 96 f = 24
	degree seq :: [ 3^32, 16^6 ]

E18.750 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y3 * Y1)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 8, 56)(3, 51, 11, 59)(5, 53, 13, 61)(6, 54, 14, 62)(7, 55, 20, 68)(9, 57, 22, 70)(10, 58, 26, 74)(12, 60, 27, 75)(15, 63, 30, 78)(16, 64, 29, 77)(17, 65, 32, 80)(18, 66, 31, 79)(19, 67, 38, 86)(21, 69, 39, 87)(23, 71, 41, 89)(24, 72, 40, 88)(25, 73, 42, 90)(28, 76, 43, 91)(33, 81, 46, 94)(34, 82, 45, 93)(35, 83, 44, 92)(36, 84, 47, 95)(37, 85, 48, 96)(97, 98, 101)(99, 106, 108)(100, 109, 104)(102, 113, 114)(103, 115, 117)(105, 119, 120)(107, 123, 122)(110, 127, 128)(111, 129, 124)(112, 130, 131)(116, 135, 134)(118, 136, 137)(121, 133, 132)(125, 140, 141)(126, 139, 142)(138, 143, 144)(145, 147, 150)(146, 151, 153)(148, 158, 155)(149, 159, 160)(152, 166, 164)(154, 169, 168)(156, 172, 165)(157, 173, 174)(161, 178, 167)(162, 177, 180)(163, 181, 179)(170, 184, 186)(171, 183, 187)(175, 191, 190)(176, 185, 189)(182, 188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^3 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E18.752
Graph:: simple bipartite
	v = 56 e = 96 f = 6
	degree seq :: [ 3^32, 4^24 ]

E18.751 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 8})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 8, 56)(3, 51, 11, 59)(5, 53, 14, 62)(6, 54, 13, 61)(7, 55, 20, 68)(9, 57, 22, 70)(10, 58, 26, 74)(12, 60, 27, 75)(15, 63, 31, 79)(16, 64, 32, 80)(17, 65, 29, 77)(18, 66, 30, 78)(19, 67, 38, 86)(21, 69, 39, 87)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(28, 76, 43, 91)(33, 81, 45, 93)(34, 82, 44, 92)(35, 83, 47, 95)(36, 84, 46, 94)(37, 85, 48, 96)(97, 98, 101)(99, 106, 108)(100, 107, 109)(102, 113, 114)(103, 115, 117)(104, 116, 118)(105, 119, 120)(110, 127, 128)(111, 129, 124)(112, 130, 131)(121, 133, 132)(122, 138, 137)(123, 139, 135)(125, 140, 136)(126, 141, 142)(134, 144, 143)(145, 147, 150)(146, 151, 153)(148, 152, 158)(149, 159, 160)(154, 169, 168)(155, 170, 171)(156, 172, 165)(157, 173, 174)(161, 178, 167)(162, 177, 180)(163, 181, 179)(164, 182, 183)(166, 184, 185)(175, 189, 187)(176, 188, 191)(186, 192, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32^3 ), ( 32^4 ) }
Outer automorphisms :: reflexible
Dual of E18.753
Graph:: simple bipartite
	v = 56 e = 96 f = 6
	degree seq :: [ 3^32, 4^24 ]

E18.752 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1, (Y2 * Y3)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^-2 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^4, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 17, 65, 113, 161, 41, 89, 137, 185, 46, 94, 142, 190, 34, 82, 130, 178, 12, 60, 108, 156, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 6, 54, 102, 150, 22, 70, 118, 166, 44, 92, 140, 188, 47, 95, 143, 191, 25, 73, 121, 169, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 27, 75, 123, 171, 32, 80, 128, 176, 42, 90, 138, 186, 43, 91, 139, 187, 21, 69, 117, 165, 15, 63, 111, 159)(5, 53, 101, 149, 19, 67, 115, 163, 10, 58, 106, 154, 30, 78, 126, 174, 33, 81, 129, 177, 45, 93, 141, 189, 39, 87, 135, 183, 16, 64, 112, 160)(8, 56, 104, 152, 26, 74, 122, 170, 36, 84, 132, 180, 38, 86, 134, 182, 23, 71, 119, 167, 37, 85, 133, 181, 29, 77, 125, 173, 28, 76, 124, 172)(14, 62, 110, 158, 24, 72, 120, 168, 31, 79, 127, 175, 48, 96, 144, 192, 40, 88, 136, 184, 18, 66, 114, 162, 20, 68, 116, 164, 35, 83, 131, 179)
	L = (1, 50)(2, 53)(3, 60)(4, 64)(5, 49)(6, 69)(7, 63)(8, 73)(9, 55)(10, 77)(11, 76)(12, 62)(13, 83)(14, 51)(15, 57)(16, 66)(17, 88)(18, 52)(19, 59)(20, 87)(21, 71)(22, 86)(23, 54)(24, 82)(25, 75)(26, 61)(27, 56)(28, 67)(29, 79)(30, 72)(31, 58)(32, 95)(33, 94)(34, 78)(35, 74)(36, 68)(37, 91)(38, 93)(39, 84)(40, 90)(41, 80)(42, 65)(43, 96)(44, 81)(45, 70)(46, 92)(47, 89)(48, 85)(97, 147)(98, 152)(99, 150)(100, 153)(101, 164)(102, 145)(103, 168)(104, 154)(105, 163)(106, 146)(107, 176)(108, 177)(109, 151)(110, 180)(111, 181)(112, 182)(113, 149)(114, 187)(115, 148)(116, 161)(117, 184)(118, 159)(119, 183)(120, 157)(121, 190)(122, 155)(123, 158)(124, 192)(125, 165)(126, 172)(127, 156)(128, 170)(129, 175)(130, 191)(131, 160)(132, 171)(133, 166)(134, 179)(135, 188)(136, 173)(137, 162)(138, 169)(139, 185)(140, 167)(141, 178)(142, 186)(143, 189)(144, 174)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E18.750
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 56
	degree seq :: [ 32^6 ]

E18.753 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y2 * Y1 * Y3^-2, (Y3 * Y1^-1)^2, (Y2 * Y3^-1)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 34, 82, 130, 178, 46, 94, 142, 190, 42, 90, 138, 186, 19, 67, 115, 163, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 25, 73, 121, 169, 47, 95, 143, 191, 44, 92, 140, 188, 23, 71, 119, 167, 6, 54, 102, 150, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 21, 69, 117, 165, 43, 91, 139, 187, 41, 89, 137, 185, 29, 77, 125, 173, 27, 75, 123, 171, 15, 63, 111, 159)(5, 53, 101, 149, 18, 66, 114, 162, 38, 86, 134, 182, 45, 93, 141, 189, 33, 81, 129, 177, 32, 80, 128, 176, 10, 58, 106, 154, 20, 68, 116, 164)(8, 56, 104, 152, 26, 74, 122, 170, 30, 78, 126, 174, 35, 83, 131, 179, 22, 70, 118, 166, 39, 87, 135, 183, 36, 84, 132, 180, 28, 76, 124, 172)(14, 62, 110, 158, 37, 85, 133, 181, 17, 65, 113, 161, 24, 72, 120, 168, 40, 88, 136, 184, 48, 96, 144, 192, 31, 79, 127, 175, 16, 64, 112, 160)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 69)(7, 66)(8, 73)(9, 74)(10, 78)(11, 52)(12, 62)(13, 59)(14, 51)(15, 85)(16, 82)(17, 86)(18, 72)(19, 88)(20, 57)(21, 70)(22, 54)(23, 87)(24, 55)(25, 75)(26, 68)(27, 56)(28, 63)(29, 95)(30, 79)(31, 58)(32, 64)(33, 94)(34, 80)(35, 91)(36, 65)(37, 76)(38, 84)(39, 93)(40, 89)(41, 67)(42, 77)(43, 96)(44, 81)(45, 71)(46, 92)(47, 90)(48, 83)(97, 147)(98, 152)(99, 150)(100, 160)(101, 161)(102, 145)(103, 155)(104, 154)(105, 173)(106, 146)(107, 164)(108, 177)(109, 179)(110, 180)(111, 148)(112, 159)(113, 163)(114, 183)(115, 149)(116, 151)(117, 184)(118, 182)(119, 157)(120, 187)(121, 190)(122, 192)(123, 158)(124, 153)(125, 172)(126, 165)(127, 156)(128, 170)(129, 175)(130, 191)(131, 167)(132, 171)(133, 162)(134, 188)(135, 181)(136, 174)(137, 169)(138, 168)(139, 186)(140, 166)(141, 178)(142, 185)(143, 189)(144, 176)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E18.751
Transitivity :: VT+
Graph::
	v = 6 e = 96 f = 56
	degree seq :: [ 32^6 ]

E18.754 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y3 * Y1)^2, R * Y1 * R * Y2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 8, 56, 104, 152)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 13, 61, 109, 157)(6, 54, 102, 150, 14, 62, 110, 158)(7, 55, 103, 151, 20, 68, 116, 164)(9, 57, 105, 153, 22, 70, 118, 166)(10, 58, 106, 154, 26, 74, 122, 170)(12, 60, 108, 156, 27, 75, 123, 171)(15, 63, 111, 159, 30, 78, 126, 174)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 32, 80, 128, 176)(18, 66, 114, 162, 31, 79, 127, 175)(19, 67, 115, 163, 38, 86, 134, 182)(21, 69, 117, 165, 39, 87, 135, 183)(23, 71, 119, 167, 41, 89, 137, 185)(24, 72, 120, 168, 40, 88, 136, 184)(25, 73, 121, 169, 42, 90, 138, 186)(28, 76, 124, 172, 43, 91, 139, 187)(33, 81, 129, 177, 46, 94, 142, 190)(34, 82, 130, 178, 45, 93, 141, 189)(35, 83, 131, 179, 44, 92, 140, 188)(36, 84, 132, 180, 47, 95, 143, 191)(37, 85, 133, 181, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 58)(4, 61)(5, 49)(6, 65)(7, 67)(8, 52)(9, 71)(10, 60)(11, 75)(12, 51)(13, 56)(14, 79)(15, 81)(16, 82)(17, 66)(18, 54)(19, 69)(20, 87)(21, 55)(22, 88)(23, 72)(24, 57)(25, 85)(26, 59)(27, 74)(28, 63)(29, 92)(30, 91)(31, 80)(32, 62)(33, 76)(34, 83)(35, 64)(36, 73)(37, 84)(38, 68)(39, 86)(40, 89)(41, 70)(42, 95)(43, 94)(44, 93)(45, 77)(46, 78)(47, 96)(48, 90)(97, 147)(98, 151)(99, 150)(100, 158)(101, 159)(102, 145)(103, 153)(104, 166)(105, 146)(106, 169)(107, 148)(108, 172)(109, 173)(110, 155)(111, 160)(112, 149)(113, 178)(114, 177)(115, 181)(116, 152)(117, 156)(118, 164)(119, 161)(120, 154)(121, 168)(122, 184)(123, 183)(124, 165)(125, 174)(126, 157)(127, 191)(128, 185)(129, 180)(130, 167)(131, 163)(132, 162)(133, 179)(134, 188)(135, 187)(136, 186)(137, 189)(138, 170)(139, 171)(140, 192)(141, 176)(142, 175)(143, 190)(144, 182)
	local type(s) :: { ( 3, 16, 3, 16, 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.748
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 38
	degree seq :: [ 8^24 ]

E18.755 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 8})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 8, 56, 104, 152)(3, 51, 99, 147, 11, 59, 107, 155)(5, 53, 101, 149, 14, 62, 110, 158)(6, 54, 102, 150, 13, 61, 109, 157)(7, 55, 103, 151, 20, 68, 116, 164)(9, 57, 105, 153, 22, 70, 118, 166)(10, 58, 106, 154, 26, 74, 122, 170)(12, 60, 108, 156, 27, 75, 123, 171)(15, 63, 111, 159, 31, 79, 127, 175)(16, 64, 112, 160, 32, 80, 128, 176)(17, 65, 113, 161, 29, 77, 125, 173)(18, 66, 114, 162, 30, 78, 126, 174)(19, 67, 115, 163, 38, 86, 134, 182)(21, 69, 117, 165, 39, 87, 135, 183)(23, 71, 119, 167, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(28, 76, 124, 172, 43, 91, 139, 187)(33, 81, 129, 177, 45, 93, 141, 189)(34, 82, 130, 178, 44, 92, 140, 188)(35, 83, 131, 179, 47, 95, 143, 191)(36, 84, 132, 180, 46, 94, 142, 190)(37, 85, 133, 181, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 58)(4, 59)(5, 49)(6, 65)(7, 67)(8, 68)(9, 71)(10, 60)(11, 61)(12, 51)(13, 52)(14, 79)(15, 81)(16, 82)(17, 66)(18, 54)(19, 69)(20, 70)(21, 55)(22, 56)(23, 72)(24, 57)(25, 85)(26, 90)(27, 91)(28, 63)(29, 92)(30, 93)(31, 80)(32, 62)(33, 76)(34, 83)(35, 64)(36, 73)(37, 84)(38, 96)(39, 75)(40, 77)(41, 74)(42, 89)(43, 87)(44, 88)(45, 94)(46, 78)(47, 86)(48, 95)(97, 147)(98, 151)(99, 150)(100, 152)(101, 159)(102, 145)(103, 153)(104, 158)(105, 146)(106, 169)(107, 170)(108, 172)(109, 173)(110, 148)(111, 160)(112, 149)(113, 178)(114, 177)(115, 181)(116, 182)(117, 156)(118, 184)(119, 161)(120, 154)(121, 168)(122, 171)(123, 155)(124, 165)(125, 174)(126, 157)(127, 189)(128, 188)(129, 180)(130, 167)(131, 163)(132, 162)(133, 179)(134, 183)(135, 164)(136, 185)(137, 166)(138, 192)(139, 175)(140, 191)(141, 187)(142, 186)(143, 176)(144, 190)
	local type(s) :: { ( 3, 16, 3, 16, 3, 16, 3, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.749
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 38
	degree seq :: [ 8^24 ]

E18.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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 * Y2, Y2^3, Y2 * Y3^-2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 19, 67)(12, 60, 20, 68)(13, 61, 21, 69)(14, 62, 22, 70)(15, 63, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(27, 75, 43, 91)(28, 76, 38, 86)(29, 77, 40, 88)(30, 78, 36, 84)(31, 79, 41, 89)(32, 80, 37, 85)(33, 81, 39, 87)(34, 82, 44, 92)(35, 83, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 100, 148)(98, 146, 101, 149, 102, 150)(103, 151, 107, 155, 108, 156)(104, 152, 109, 157, 110, 158)(105, 153, 111, 159, 112, 160)(106, 154, 113, 161, 114, 162)(115, 163, 123, 171, 124, 172)(116, 164, 125, 173, 126, 174)(117, 165, 127, 175, 128, 176)(118, 166, 129, 177, 130, 178)(119, 167, 131, 179, 132, 180)(120, 168, 133, 181, 134, 182)(121, 169, 135, 183, 136, 184)(122, 170, 137, 185, 138, 186)(139, 187, 143, 191, 140, 188)(141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 102)(3, 97)(4, 99)(5, 98)(6, 101)(7, 108)(8, 110)(9, 112)(10, 114)(11, 103)(12, 107)(13, 104)(14, 109)(15, 105)(16, 111)(17, 106)(18, 113)(19, 124)(20, 126)(21, 128)(22, 130)(23, 132)(24, 134)(25, 136)(26, 138)(27, 115)(28, 123)(29, 116)(30, 125)(31, 117)(32, 127)(33, 118)(34, 129)(35, 119)(36, 131)(37, 120)(38, 133)(39, 121)(40, 135)(41, 122)(42, 137)(43, 140)(44, 143)(45, 142)(46, 144)(47, 139)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.758
Graph:: bipartite
	v = 40 e = 96 f = 22
	degree seq :: [ 4^24, 6^16 ]

E18.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 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, Y2^3, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y3^-2 * Y2 * Y3, Y3^6, (Y1 * Y2^-1 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^3, Y2 * Y3^2 * Y1 * Y3 * Y1, (Y1 * Y3 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 19, 67)(8, 56, 25, 73)(10, 58, 31, 79)(11, 59, 35, 83)(12, 60, 27, 75)(14, 62, 30, 78)(15, 63, 24, 72)(16, 64, 34, 82)(17, 65, 32, 80)(18, 66, 26, 74)(20, 68, 29, 77)(21, 69, 39, 87)(22, 70, 28, 76)(23, 71, 37, 85)(33, 81, 43, 91)(36, 84, 46, 94)(38, 86, 40, 88)(41, 89, 44, 92)(42, 90, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(102, 150, 116, 164, 117, 165)(104, 152, 122, 170, 124, 172)(106, 154, 128, 176, 129, 177)(107, 155, 111, 159, 132, 180)(108, 156, 133, 181, 134, 182)(109, 157, 130, 178, 126, 174)(113, 161, 127, 175, 139, 187)(114, 162, 121, 169, 118, 166)(115, 163, 135, 183, 125, 173)(119, 167, 123, 171, 136, 184)(120, 168, 131, 179, 142, 190)(137, 185, 138, 186, 141, 189)(140, 188, 143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 113)(6, 97)(7, 119)(8, 123)(9, 125)(10, 98)(11, 127)(12, 99)(13, 135)(14, 137)(15, 138)(16, 133)(17, 110)(18, 101)(19, 140)(20, 112)(21, 108)(22, 102)(23, 115)(24, 103)(25, 139)(26, 143)(27, 144)(28, 131)(29, 122)(30, 105)(31, 141)(32, 124)(33, 120)(34, 106)(35, 136)(36, 121)(37, 132)(38, 114)(39, 128)(40, 109)(41, 134)(42, 118)(43, 116)(44, 129)(45, 117)(46, 126)(47, 142)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.759
Graph:: simple bipartite
	v = 40 e = 96 f = 22
	degree seq :: [ 4^24, 6^16 ]

E18.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-3 * Y3^-1 * Y2^-3 * Y1^-1, Y2^8, (Y2^2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52)(3, 51, 8, 56, 7, 55)(5, 53, 10, 58, 12, 60)(6, 54, 14, 62, 11, 59)(9, 57, 19, 67, 18, 66)(13, 61, 23, 71, 25, 73)(15, 63, 29, 77, 28, 76)(16, 64, 17, 65, 31, 79)(20, 68, 37, 85, 36, 84)(21, 69, 39, 87, 24, 72)(22, 70, 27, 75, 41, 89)(26, 74, 43, 91, 30, 78)(32, 80, 47, 95, 40, 88)(33, 81, 42, 90, 44, 92)(34, 82, 35, 83, 45, 93)(38, 86, 46, 94, 48, 96)(97, 145, 99, 147, 105, 153, 116, 164, 134, 182, 122, 170, 109, 157, 101, 149)(98, 146, 102, 150, 111, 159, 126, 174, 142, 190, 128, 176, 112, 160, 103, 151)(100, 148, 106, 154, 117, 165, 136, 184, 144, 192, 133, 181, 118, 166, 107, 155)(104, 152, 113, 161, 129, 177, 121, 169, 139, 187, 125, 173, 130, 178, 114, 162)(108, 156, 119, 167, 138, 186, 137, 185, 132, 180, 115, 163, 131, 179, 120, 168)(110, 158, 123, 171, 140, 188, 127, 175, 143, 191, 135, 183, 141, 189, 124, 172)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 106)(6, 110)(7, 99)(8, 103)(9, 115)(10, 108)(11, 102)(12, 101)(13, 119)(14, 107)(15, 125)(16, 113)(17, 127)(18, 105)(19, 114)(20, 133)(21, 135)(22, 123)(23, 121)(24, 117)(25, 109)(26, 139)(27, 137)(28, 111)(29, 124)(30, 122)(31, 112)(32, 143)(33, 138)(34, 131)(35, 141)(36, 116)(37, 132)(38, 142)(39, 120)(40, 128)(41, 118)(42, 140)(43, 126)(44, 129)(45, 130)(46, 144)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E18.756
Graph:: bipartite
	v = 22 e = 96 f = 40
	degree seq :: [ 6^16, 16^6 ]

E18.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y3 * Y2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, R * Y2 * R * Y2^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y2^-1, (Y3^2 * Y2)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2 * Y3 * Y1^-1)^2, Y3^-1 * Y1 * Y2^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 19, 67)(6, 54, 23, 71, 8, 56)(7, 55, 13, 61, 25, 73)(9, 57, 29, 77, 30, 78)(10, 58, 31, 79, 20, 68)(11, 59, 27, 75, 33, 81)(14, 62, 39, 87, 34, 82)(16, 64, 37, 85, 26, 74)(18, 66, 21, 69, 44, 92)(22, 70, 35, 83, 42, 90)(24, 72, 36, 84, 32, 80)(28, 76, 47, 95, 46, 94)(38, 86, 43, 91, 41, 89)(40, 88, 48, 96, 45, 93)(97, 145, 99, 147, 109, 157, 133, 181, 139, 187, 124, 172, 117, 165, 102, 150)(98, 146, 104, 152, 123, 171, 135, 183, 137, 185, 112, 160, 100, 148, 106, 154)(101, 149, 116, 164, 131, 179, 143, 191, 134, 182, 110, 158, 105, 153, 108, 156)(103, 151, 120, 168, 129, 177, 119, 167, 114, 162, 136, 184, 113, 161, 122, 170)(107, 155, 128, 176, 138, 186, 127, 175, 115, 163, 141, 189, 125, 173, 130, 178)(111, 159, 126, 174, 144, 192, 140, 188, 142, 190, 118, 166, 132, 180, 121, 169)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 117)(6, 120)(7, 97)(8, 124)(9, 115)(10, 128)(11, 98)(12, 132)(13, 118)(14, 104)(15, 102)(16, 99)(17, 138)(18, 139)(19, 137)(20, 112)(21, 126)(22, 101)(23, 106)(24, 142)(25, 113)(26, 135)(27, 103)(28, 116)(29, 121)(30, 134)(31, 108)(32, 122)(33, 125)(34, 143)(35, 107)(36, 130)(37, 136)(38, 109)(39, 141)(40, 111)(41, 131)(42, 140)(43, 123)(44, 129)(45, 119)(46, 133)(47, 144)(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, 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 E18.757
Graph:: bipartite
	v = 22 e = 96 f = 40
	degree seq :: [ 6^16, 16^6 ]

E18.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y2)^2, (Y3^2 * Y1)^2, Y3^6, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 23, 71)(12, 60, 20, 68)(14, 62, 18, 66)(15, 63, 29, 77)(16, 64, 31, 79)(22, 70, 32, 80)(24, 72, 30, 78)(25, 73, 41, 89)(26, 74, 42, 90)(27, 75, 43, 91)(28, 76, 44, 92)(33, 81, 37, 85)(34, 82, 40, 88)(35, 83, 46, 94)(36, 84, 38, 86)(39, 87, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 111, 159)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(113, 161, 125, 173)(114, 162, 126, 174)(115, 163, 127, 175)(116, 164, 128, 176)(121, 169, 133, 181)(122, 170, 134, 182)(123, 171, 135, 183)(124, 172, 136, 184)(129, 177, 137, 185)(130, 178, 140, 188)(131, 179, 141, 189)(132, 180, 138, 186)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 111)(7, 114)(8, 98)(9, 118)(10, 99)(11, 121)(12, 123)(13, 124)(14, 101)(15, 126)(16, 102)(17, 129)(18, 131)(19, 132)(20, 104)(21, 133)(22, 135)(23, 136)(24, 106)(25, 109)(26, 107)(27, 110)(28, 139)(29, 137)(30, 141)(31, 138)(32, 112)(33, 115)(34, 113)(35, 116)(36, 142)(37, 119)(38, 117)(39, 120)(40, 143)(41, 127)(42, 144)(43, 122)(44, 125)(45, 128)(46, 130)(47, 134)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.771
Graph:: simple bipartite
	v = 48 e = 96 f = 14
	degree seq :: [ 4^48 ]

E18.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3^-2)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y3^6, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 19, 67)(8, 56, 21, 69)(10, 58, 18, 66)(11, 59, 17, 65)(13, 61, 22, 70)(15, 63, 20, 68)(23, 71, 39, 87)(24, 72, 38, 86)(25, 73, 36, 84)(26, 74, 41, 89)(27, 75, 40, 88)(28, 76, 33, 81)(29, 77, 43, 91)(30, 78, 32, 80)(31, 79, 44, 92)(34, 82, 46, 94)(35, 83, 45, 93)(37, 85, 48, 96)(42, 90, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 106, 154)(101, 149, 107, 155)(103, 151, 113, 161)(104, 152, 114, 162)(105, 153, 119, 167)(108, 156, 121, 169)(109, 157, 122, 170)(110, 158, 120, 168)(111, 159, 123, 171)(112, 160, 127, 175)(115, 163, 129, 177)(116, 164, 130, 178)(117, 165, 128, 176)(118, 166, 131, 179)(124, 172, 137, 185)(125, 173, 138, 186)(126, 174, 136, 184)(132, 180, 142, 190)(133, 181, 143, 191)(134, 182, 141, 189)(135, 183, 144, 192)(139, 187, 140, 188)
	L = (1, 100)(2, 103)(3, 106)(4, 109)(5, 97)(6, 113)(7, 116)(8, 98)(9, 120)(10, 122)(11, 99)(12, 119)(13, 125)(14, 126)(15, 101)(16, 128)(17, 130)(18, 102)(19, 127)(20, 133)(21, 134)(22, 104)(23, 110)(24, 136)(25, 105)(26, 138)(27, 107)(28, 108)(29, 111)(30, 139)(31, 117)(32, 141)(33, 112)(34, 143)(35, 114)(36, 115)(37, 118)(38, 144)(39, 142)(40, 140)(41, 121)(42, 123)(43, 124)(44, 137)(45, 135)(46, 129)(47, 131)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.770
Graph:: simple bipartite
	v = 48 e = 96 f = 14
	degree seq :: [ 4^48 ]

E18.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^4 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 34, 82)(28, 76, 39, 87)(29, 77, 38, 86)(30, 78, 40, 88)(31, 79, 36, 84)(32, 80, 35, 83)(33, 81, 37, 85)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 130, 178, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 137, 185, 127, 175, 111, 159)(102, 150, 109, 157, 125, 173, 138, 186, 128, 176, 113, 161)(104, 152, 116, 164, 131, 179, 141, 189, 134, 182, 119, 167)(106, 154, 117, 165, 132, 180, 142, 190, 135, 183, 121, 169)(110, 158, 126, 174, 139, 187, 140, 188, 129, 177, 114, 162)(118, 166, 133, 181, 143, 191, 144, 192, 136, 184, 122, 170)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 126)(13, 99)(14, 109)(15, 114)(16, 127)(17, 101)(18, 102)(19, 131)(20, 133)(21, 103)(22, 117)(23, 122)(24, 134)(25, 105)(26, 106)(27, 137)(28, 139)(29, 107)(30, 125)(31, 129)(32, 112)(33, 113)(34, 141)(35, 143)(36, 115)(37, 132)(38, 136)(39, 120)(40, 121)(41, 140)(42, 123)(43, 138)(44, 128)(45, 144)(46, 130)(47, 142)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.766
Graph:: simple bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y2^6, Y3 * Y2^-1 * Y3 * Y2 * Y3^2 * Y2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 25, 73)(13, 61, 22, 70)(14, 62, 21, 69)(15, 63, 26, 74)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 23, 71)(27, 75, 38, 86)(28, 76, 46, 94)(29, 77, 43, 91)(30, 78, 47, 95)(31, 79, 44, 92)(32, 80, 40, 88)(33, 81, 42, 90)(34, 82, 48, 96)(35, 83, 39, 87)(36, 84, 41, 89)(37, 85, 45, 93)(97, 145, 99, 147, 107, 155, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 134, 182, 120, 168, 105, 153)(100, 148, 110, 158, 128, 176, 133, 181, 124, 172, 108, 156)(102, 150, 113, 161, 131, 179, 130, 178, 125, 173, 109, 157)(104, 152, 118, 166, 139, 187, 144, 192, 135, 183, 116, 164)(106, 154, 121, 169, 142, 190, 141, 189, 136, 184, 117, 165)(111, 159, 126, 174, 132, 180, 114, 162, 127, 175, 129, 177)(119, 167, 137, 185, 143, 191, 122, 170, 138, 186, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 116)(8, 119)(9, 118)(10, 98)(11, 124)(12, 126)(13, 99)(14, 129)(15, 130)(16, 128)(17, 101)(18, 102)(19, 135)(20, 137)(21, 103)(22, 140)(23, 141)(24, 139)(25, 105)(26, 106)(27, 133)(28, 132)(29, 107)(30, 131)(31, 109)(32, 127)(33, 125)(34, 123)(35, 112)(36, 113)(37, 114)(38, 144)(39, 143)(40, 115)(41, 142)(42, 117)(43, 138)(44, 136)(45, 134)(46, 120)(47, 121)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.768
Graph:: simple bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2^6, Y2^-1 * R * Y2^2 * R * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 29, 77)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 35, 83)(28, 76, 36, 84)(37, 85, 45, 93)(38, 86, 46, 94)(39, 87, 41, 89)(40, 88, 43, 91)(42, 90, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 125, 173, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 134, 182, 118, 166, 108, 156)(103, 151, 113, 161, 129, 177, 142, 190, 126, 174, 114, 162)(106, 154, 119, 167, 109, 157, 124, 172, 133, 181, 120, 168)(112, 160, 127, 175, 115, 163, 132, 180, 141, 189, 128, 176)(122, 170, 137, 185, 123, 171, 139, 187, 143, 191, 138, 186)(130, 178, 135, 183, 131, 179, 136, 184, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 121)(15, 126)(16, 102)(17, 130)(18, 131)(19, 104)(20, 129)(21, 133)(22, 105)(23, 135)(24, 136)(25, 110)(26, 107)(27, 108)(28, 140)(29, 141)(30, 111)(31, 137)(32, 139)(33, 116)(34, 113)(35, 114)(36, 138)(37, 117)(38, 143)(39, 119)(40, 120)(41, 127)(42, 132)(43, 128)(44, 124)(45, 125)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.769
Graph:: simple bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2^-2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^3 * Y1 * Y3 * Y2 * Y3 * Y2^-2 * Y1, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 24, 72)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 18, 66)(25, 73, 38, 86)(26, 74, 42, 90)(27, 75, 43, 91)(28, 76, 40, 88)(29, 77, 34, 82)(30, 78, 41, 89)(31, 79, 37, 85)(32, 80, 39, 87)(33, 81, 35, 83)(36, 84, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 132, 180, 120, 168, 104, 152)(100, 148, 108, 156, 127, 175, 141, 189, 124, 172, 109, 157)(103, 151, 116, 164, 136, 184, 144, 192, 133, 181, 117, 165)(105, 153, 121, 169, 110, 158, 128, 176, 139, 187, 122, 170)(107, 155, 125, 173, 111, 159, 129, 177, 140, 188, 126, 174)(113, 161, 130, 178, 118, 166, 137, 185, 142, 190, 131, 179)(115, 163, 134, 182, 119, 167, 138, 186, 143, 191, 135, 183)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 124)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 127)(17, 108)(18, 133)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 136)(25, 130)(26, 137)(27, 140)(28, 106)(29, 134)(30, 138)(31, 112)(32, 131)(33, 135)(34, 121)(35, 128)(36, 143)(37, 114)(38, 125)(39, 129)(40, 120)(41, 122)(42, 126)(43, 144)(44, 123)(45, 142)(46, 141)(47, 132)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.767
Graph:: simple bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3^3 * Y1^-1, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 29, 77, 27, 75, 15, 63, 5, 53)(3, 51, 11, 59, 23, 71, 35, 83, 40, 88, 30, 78, 18, 66, 8, 56)(4, 52, 9, 57, 19, 67, 31, 79, 41, 89, 38, 86, 26, 74, 14, 62)(6, 54, 10, 58, 20, 68, 32, 80, 42, 90, 39, 87, 28, 76, 16, 64)(12, 60, 24, 72, 36, 84, 45, 93, 47, 95, 43, 91, 33, 81, 21, 69)(13, 61, 25, 73, 37, 85, 46, 94, 48, 96, 44, 92, 34, 82, 22, 70)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 114, 162)(105, 153, 118, 166)(106, 154, 117, 165)(110, 158, 121, 169)(111, 159, 119, 167)(112, 160, 120, 168)(113, 161, 126, 174)(115, 163, 130, 178)(116, 164, 129, 177)(122, 170, 133, 181)(123, 171, 131, 179)(124, 172, 132, 180)(125, 173, 136, 184)(127, 175, 140, 188)(128, 176, 139, 187)(134, 182, 142, 190)(135, 183, 141, 189)(137, 185, 144, 192)(138, 186, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 106)(5, 110)(6, 97)(7, 115)(8, 117)(9, 116)(10, 98)(11, 120)(12, 121)(13, 99)(14, 102)(15, 122)(16, 101)(17, 127)(18, 129)(19, 128)(20, 103)(21, 109)(22, 104)(23, 132)(24, 133)(25, 107)(26, 112)(27, 134)(28, 111)(29, 137)(30, 139)(31, 138)(32, 113)(33, 118)(34, 114)(35, 141)(36, 142)(37, 119)(38, 124)(39, 123)(40, 143)(41, 135)(42, 125)(43, 130)(44, 126)(45, 144)(46, 131)(47, 140)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E18.762
Graph:: simple bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-4, (Y3 * Y1^-2)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 10, 58, 3, 51, 7, 55, 14, 62, 5, 53)(4, 52, 11, 59, 22, 70, 20, 68, 9, 57, 19, 67, 15, 63, 12, 60)(8, 56, 17, 65, 13, 61, 25, 73, 16, 64, 26, 74, 21, 69, 18, 66)(23, 71, 31, 79, 24, 72, 33, 81, 29, 77, 39, 87, 30, 78, 32, 80)(27, 75, 36, 84, 28, 76, 38, 86, 35, 83, 43, 91, 34, 82, 37, 85)(40, 88, 45, 93, 41, 89, 48, 96, 47, 95, 46, 94, 42, 90, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 110, 158)(104, 152, 112, 160)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(111, 159, 118, 166)(113, 161, 122, 170)(114, 162, 121, 169)(119, 167, 125, 173)(120, 168, 126, 174)(123, 171, 131, 179)(124, 172, 130, 178)(127, 175, 135, 183)(128, 176, 129, 177)(132, 180, 139, 187)(133, 181, 134, 182)(136, 184, 143, 191)(137, 185, 138, 186)(140, 188, 144, 192)(141, 189, 142, 190)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 111)(7, 112)(8, 98)(9, 99)(10, 117)(11, 119)(12, 120)(13, 101)(14, 118)(15, 102)(16, 103)(17, 123)(18, 124)(19, 125)(20, 126)(21, 106)(22, 110)(23, 107)(24, 108)(25, 130)(26, 131)(27, 113)(28, 114)(29, 115)(30, 116)(31, 136)(32, 137)(33, 138)(34, 121)(35, 122)(36, 140)(37, 141)(38, 142)(39, 143)(40, 127)(41, 128)(42, 129)(43, 144)(44, 132)(45, 133)(46, 134)(47, 135)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.765
Graph:: bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y2^2, R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3^-2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 35, 83, 34, 82, 15, 63, 5, 53)(3, 51, 11, 59, 27, 75, 43, 91, 46, 94, 36, 84, 20, 68, 8, 56)(4, 52, 14, 62, 6, 54, 18, 66, 21, 69, 39, 87, 33, 81, 16, 64)(9, 57, 24, 72, 10, 58, 26, 74, 37, 85, 32, 80, 17, 65, 25, 73)(12, 60, 29, 77, 13, 61, 31, 79, 44, 92, 48, 96, 38, 86, 30, 78)(22, 70, 40, 88, 23, 71, 42, 90, 28, 76, 45, 93, 47, 95, 41, 89)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 125, 173)(111, 159, 123, 171)(112, 160, 127, 175)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 132, 180)(117, 165, 134, 182)(120, 168, 136, 184)(121, 169, 138, 186)(122, 170, 137, 185)(128, 176, 141, 189)(129, 177, 140, 188)(130, 178, 139, 187)(131, 179, 142, 190)(133, 181, 143, 191)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 113)(6, 97)(7, 102)(8, 118)(9, 101)(10, 98)(11, 119)(12, 116)(13, 99)(14, 122)(15, 129)(16, 120)(17, 130)(18, 128)(19, 106)(20, 134)(21, 103)(22, 132)(23, 104)(24, 135)(25, 114)(26, 112)(27, 109)(28, 107)(29, 141)(30, 138)(31, 137)(32, 110)(33, 131)(34, 133)(35, 117)(36, 143)(37, 115)(38, 142)(39, 121)(40, 127)(41, 125)(42, 144)(43, 124)(44, 123)(45, 126)(46, 140)(47, 139)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.763
Graph:: simple bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2 * Y1^-3, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * 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, 17, 65, 10, 58, 21, 69, 16, 64, 5, 53)(3, 51, 9, 57, 19, 67, 13, 61, 4, 52, 12, 60, 18, 66, 11, 59)(7, 55, 20, 68, 14, 62, 24, 72, 8, 56, 23, 71, 15, 63, 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, 47, 95, 43, 91, 46, 94, 42, 90, 48, 96, 44, 92, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 121, 169)(107, 155, 123, 171)(108, 156, 122, 170)(109, 157, 124, 172)(111, 159, 113, 161)(112, 160, 115, 163)(116, 164, 125, 173)(118, 166, 127, 175)(119, 167, 126, 174)(120, 168, 128, 176)(129, 177, 137, 185)(130, 178, 139, 187)(131, 179, 138, 186)(132, 180, 140, 188)(133, 181, 141, 189)(134, 182, 143, 191)(135, 183, 142, 190)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 122)(10, 99)(11, 124)(12, 121)(13, 123)(14, 113)(15, 101)(16, 114)(17, 110)(18, 112)(19, 102)(20, 126)(21, 103)(22, 128)(23, 125)(24, 127)(25, 108)(26, 105)(27, 109)(28, 107)(29, 119)(30, 116)(31, 120)(32, 118)(33, 138)(34, 140)(35, 137)(36, 139)(37, 142)(38, 144)(39, 141)(40, 143)(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) :: { ( 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 E18.764
Graph:: bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2, Y1^6, Y2 * Y1^-1 * Y2^3 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 37, 85, 20, 68, 8, 56)(4, 52, 14, 62, 32, 80, 38, 86, 21, 69, 9, 57)(6, 54, 17, 65, 35, 83, 30, 78, 22, 70, 10, 58)(12, 60, 23, 71, 36, 84, 18, 66, 26, 74, 28, 76)(13, 61, 24, 72, 39, 87, 48, 96, 43, 91, 29, 77)(15, 63, 25, 73, 40, 88, 45, 93, 46, 94, 33, 81)(31, 79, 44, 92, 42, 90, 34, 82, 47, 95, 41, 89)(97, 145, 99, 147, 108, 156, 126, 174, 115, 163, 133, 181, 114, 162, 102, 150)(98, 146, 104, 152, 119, 167, 131, 179, 112, 160, 123, 171, 122, 170, 106, 154)(100, 148, 111, 159, 130, 178, 144, 192, 134, 182, 141, 189, 127, 175, 109, 157)(101, 149, 107, 155, 124, 172, 118, 166, 103, 151, 116, 164, 132, 180, 113, 161)(105, 153, 121, 169, 138, 186, 139, 187, 128, 176, 142, 190, 137, 185, 120, 168)(110, 158, 129, 177, 143, 191, 135, 183, 117, 165, 136, 184, 140, 188, 125, 173)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 111)(7, 117)(8, 120)(9, 98)(10, 121)(11, 125)(12, 127)(13, 99)(14, 101)(15, 102)(16, 128)(17, 129)(18, 130)(19, 134)(20, 135)(21, 103)(22, 136)(23, 137)(24, 104)(25, 106)(26, 138)(27, 139)(28, 140)(29, 107)(30, 141)(31, 108)(32, 112)(33, 113)(34, 114)(35, 142)(36, 143)(37, 144)(38, 115)(39, 116)(40, 118)(41, 119)(42, 122)(43, 123)(44, 124)(45, 126)(46, 131)(47, 132)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E18.761
Graph:: bipartite
	v = 14 e = 96 f = 48
	degree seq :: [ 12^8, 16^6 ]

E18.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y2^4, Y2^-1 * Y3^-1 * Y2^2 * Y1^-1 * Y2^-1, Y3^4 * Y1^-2, Y1^6, Y2 * Y3 * Y2^-3 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 18, 66, 5, 53)(3, 51, 13, 61, 33, 81, 40, 88, 24, 72, 11, 59)(4, 52, 10, 58, 7, 55, 12, 60, 26, 74, 19, 67)(6, 54, 20, 68, 38, 86, 39, 87, 25, 73, 9, 57)(14, 62, 32, 80, 41, 89, 48, 96, 45, 93, 34, 82)(15, 63, 30, 78, 16, 64, 35, 83, 42, 90, 31, 79)(17, 65, 37, 85, 43, 91, 28, 76, 21, 69, 29, 77)(22, 70, 27, 75, 44, 92, 47, 95, 46, 94, 36, 84)(97, 145, 99, 147, 110, 158, 125, 173, 106, 154, 126, 174, 118, 166, 102, 150)(98, 146, 105, 153, 123, 171, 111, 159, 103, 151, 117, 165, 128, 176, 107, 155)(100, 148, 113, 161, 130, 178, 109, 157, 101, 149, 116, 164, 132, 180, 112, 160)(104, 152, 120, 168, 137, 185, 124, 172, 108, 156, 127, 175, 140, 188, 121, 169)(114, 162, 129, 177, 141, 189, 133, 181, 115, 163, 131, 179, 142, 190, 134, 182)(119, 167, 135, 183, 143, 191, 138, 186, 122, 170, 139, 187, 144, 192, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 114)(5, 115)(6, 117)(7, 97)(8, 103)(9, 124)(10, 101)(11, 127)(12, 98)(13, 126)(14, 132)(15, 120)(16, 99)(17, 102)(18, 122)(19, 119)(20, 125)(21, 121)(22, 130)(23, 108)(24, 138)(25, 139)(26, 104)(27, 110)(28, 135)(29, 105)(30, 107)(31, 136)(32, 118)(33, 112)(34, 142)(35, 109)(36, 141)(37, 116)(38, 113)(39, 133)(40, 131)(41, 123)(42, 129)(43, 134)(44, 128)(45, 143)(46, 144)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E18.760
Graph:: bipartite
	v = 14 e = 96 f = 48
	degree seq :: [ 12^8, 16^6 ]

E18.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1, Y2^6, Y2^6, Y3 * Y2^3 * Y3^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 19, 67)(12, 60, 21, 69)(13, 61, 20, 68)(14, 62, 25, 73)(15, 63, 26, 74)(16, 64, 24, 72)(17, 65, 22, 70)(18, 66, 23, 71)(27, 75, 38, 86)(28, 76, 40, 88)(29, 77, 39, 87)(30, 78, 42, 90)(31, 79, 41, 89)(32, 80, 46, 94)(33, 81, 47, 95)(34, 82, 48, 96)(35, 83, 43, 91)(36, 84, 44, 92)(37, 85, 45, 93)(97, 145, 99, 147, 107, 155, 123, 171, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 134, 182, 120, 168, 105, 153)(100, 148, 110, 158, 128, 176, 133, 181, 124, 172, 108, 156)(102, 150, 113, 161, 131, 179, 130, 178, 125, 173, 109, 157)(104, 152, 118, 166, 139, 187, 144, 192, 135, 183, 116, 164)(106, 154, 121, 169, 142, 190, 141, 189, 136, 184, 117, 165)(111, 159, 126, 174, 132, 180, 114, 162, 127, 175, 129, 177)(119, 167, 137, 185, 143, 191, 122, 170, 138, 186, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 116)(8, 119)(9, 118)(10, 98)(11, 124)(12, 126)(13, 99)(14, 129)(15, 130)(16, 128)(17, 101)(18, 102)(19, 135)(20, 137)(21, 103)(22, 140)(23, 141)(24, 139)(25, 105)(26, 106)(27, 133)(28, 132)(29, 107)(30, 131)(31, 109)(32, 127)(33, 125)(34, 123)(35, 112)(36, 113)(37, 114)(38, 144)(39, 143)(40, 115)(41, 142)(42, 117)(43, 138)(44, 136)(45, 134)(46, 120)(47, 121)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.773
Graph:: simple bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (Y2 * Y1^-2)^2, Y3^-2 * Y1^6, (Y2 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 38, 86, 37, 85, 16, 64, 5, 53)(3, 51, 11, 59, 31, 79, 44, 92, 47, 95, 42, 90, 22, 70, 13, 61)(4, 52, 15, 63, 6, 54, 20, 68, 23, 71, 43, 91, 36, 84, 17, 65)(8, 56, 24, 72, 18, 66, 34, 82, 46, 94, 32, 80, 39, 87, 26, 74)(9, 57, 28, 76, 10, 58, 30, 78, 40, 88, 33, 81, 19, 67, 29, 77)(12, 60, 27, 75, 14, 62, 35, 83, 45, 93, 48, 96, 41, 89, 25, 73)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 126, 174)(109, 157, 129, 177)(111, 159, 128, 176)(112, 160, 127, 175)(113, 161, 122, 170)(115, 163, 131, 179)(116, 164, 130, 178)(117, 165, 135, 183)(119, 167, 137, 185)(120, 168, 139, 187)(124, 172, 140, 188)(125, 173, 138, 186)(132, 180, 141, 189)(133, 181, 142, 190)(134, 182, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 102)(8, 121)(9, 101)(10, 98)(11, 128)(12, 118)(13, 130)(14, 99)(15, 126)(16, 132)(17, 124)(18, 123)(19, 133)(20, 129)(21, 106)(22, 137)(23, 103)(24, 140)(25, 135)(26, 107)(27, 104)(28, 139)(29, 116)(30, 113)(31, 110)(32, 109)(33, 111)(34, 138)(35, 114)(36, 134)(37, 136)(38, 119)(39, 144)(40, 117)(41, 143)(42, 120)(43, 125)(44, 122)(45, 127)(46, 131)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.772
Graph:: simple bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y3^3, Y2 * Y3 * Y2 * Y3^-1, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 12, 60)(7, 55, 15, 63)(8, 56, 16, 64)(9, 57, 17, 65)(10, 58, 18, 66)(13, 61, 23, 71)(14, 62, 24, 72)(19, 67, 33, 81)(20, 68, 34, 82)(21, 69, 35, 83)(22, 70, 36, 84)(25, 73, 32, 80)(26, 74, 39, 87)(27, 75, 40, 88)(28, 76, 29, 77)(30, 78, 41, 89)(31, 79, 42, 90)(37, 85, 45, 93)(38, 86, 46, 94)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 109, 157)(104, 152, 110, 158)(107, 155, 113, 161)(108, 156, 114, 162)(111, 159, 119, 167)(112, 160, 120, 168)(115, 163, 125, 173)(116, 164, 126, 174)(117, 165, 127, 175)(118, 166, 128, 176)(121, 169, 132, 180)(122, 170, 133, 181)(123, 171, 134, 182)(124, 172, 129, 177)(130, 178, 137, 185)(131, 179, 138, 186)(135, 183, 141, 189)(136, 184, 142, 190)(139, 187, 140, 188)(143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 101)(5, 97)(6, 109)(7, 104)(8, 98)(9, 106)(10, 99)(11, 115)(12, 117)(13, 110)(14, 102)(15, 121)(16, 123)(17, 125)(18, 127)(19, 116)(20, 107)(21, 118)(22, 108)(23, 132)(24, 134)(25, 122)(26, 111)(27, 124)(28, 112)(29, 126)(30, 113)(31, 128)(32, 114)(33, 120)(34, 139)(35, 137)(36, 133)(37, 119)(38, 129)(39, 143)(40, 141)(41, 140)(42, 130)(43, 138)(44, 131)(45, 144)(46, 135)(47, 142)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.779
Graph:: simple bipartite
	v = 48 e = 96 f = 14
	degree seq :: [ 4^48 ]

E18.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, Y2^-2 * Y1 * Y2^-1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1 * R)^2, Y2^-1 * R * Y2 * Y3 * Y2 * R * Y2^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 23, 71)(18, 66, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(29, 77, 34, 82)(30, 78, 37, 85)(31, 79, 36, 84)(32, 80, 38, 86)(33, 81, 39, 87)(35, 83, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 98, 146, 102, 150, 101, 149)(100, 148, 106, 154, 111, 159, 103, 151, 110, 158, 107, 155)(105, 153, 113, 161, 120, 168, 109, 157, 119, 167, 114, 162)(108, 156, 117, 165, 124, 172, 112, 160, 123, 171, 118, 166)(115, 163, 127, 175, 134, 182, 121, 169, 132, 180, 128, 176)(116, 164, 129, 177, 125, 173, 122, 170, 135, 183, 130, 178)(126, 174, 137, 185, 136, 184, 133, 181, 140, 188, 131, 179)(138, 186, 144, 192, 142, 190, 141, 189, 143, 191, 139, 187)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 108)(6, 109)(7, 98)(8, 112)(9, 99)(10, 115)(11, 116)(12, 101)(13, 102)(14, 121)(15, 122)(16, 104)(17, 125)(18, 126)(19, 106)(20, 107)(21, 131)(22, 132)(23, 130)(24, 133)(25, 110)(26, 111)(27, 136)(28, 127)(29, 113)(30, 114)(31, 124)(32, 138)(33, 139)(34, 119)(35, 117)(36, 118)(37, 120)(38, 141)(39, 142)(40, 123)(41, 143)(42, 128)(43, 129)(44, 144)(45, 134)(46, 135)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.778
Graph:: bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1 * Y3 * Y2^-1, R * Y2 * R * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, (R * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 19, 67)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 18, 66)(13, 61, 20, 68)(21, 69, 36, 84)(22, 70, 37, 85)(23, 71, 34, 82)(24, 72, 38, 86)(25, 73, 39, 87)(26, 74, 31, 79)(27, 75, 40, 88)(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, 103, 151, 112, 160, 101, 149)(98, 146, 102, 150, 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, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 116)(9, 112)(10, 110)(11, 99)(12, 113)(13, 115)(14, 106)(15, 101)(16, 105)(17, 108)(18, 102)(19, 109)(20, 104)(21, 130)(22, 134)(23, 132)(24, 133)(25, 136)(26, 125)(27, 135)(28, 127)(29, 122)(30, 138)(31, 124)(32, 137)(33, 140)(34, 117)(35, 139)(36, 119)(37, 120)(38, 118)(39, 123)(40, 121)(41, 128)(42, 126)(43, 131)(44, 129)(45, 143)(46, 144)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.777
Graph:: bipartite
	v = 32 e = 96 f = 30
	degree seq :: [ 4^24, 12^8 ]

E18.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^2 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 10, 58, 3, 51, 7, 55, 14, 62, 5, 53)(4, 52, 11, 59, 22, 70, 20, 68, 9, 57, 19, 67, 25, 73, 12, 60)(8, 56, 17, 65, 32, 80, 31, 79, 16, 64, 24, 72, 34, 82, 18, 66)(13, 61, 26, 74, 37, 85, 23, 71, 21, 69, 35, 83, 39, 87, 27, 75)(15, 63, 29, 77, 41, 89, 40, 88, 28, 76, 33, 81, 42, 90, 30, 78)(36, 84, 45, 93, 48, 96, 43, 91, 38, 86, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 110, 158)(104, 152, 112, 160)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(111, 159, 124, 172)(113, 161, 120, 168)(114, 162, 127, 175)(118, 166, 121, 169)(119, 167, 123, 171)(122, 170, 131, 179)(125, 173, 129, 177)(126, 174, 136, 184)(128, 176, 130, 178)(132, 180, 134, 182)(133, 181, 135, 183)(137, 185, 138, 186)(139, 187, 140, 188)(141, 189, 142, 190)(143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 111)(7, 112)(8, 98)(9, 99)(10, 117)(11, 119)(12, 120)(13, 101)(14, 124)(15, 102)(16, 103)(17, 116)(18, 129)(19, 123)(20, 113)(21, 106)(22, 132)(23, 107)(24, 108)(25, 134)(26, 126)(27, 115)(28, 110)(29, 127)(30, 122)(31, 125)(32, 139)(33, 114)(34, 140)(35, 136)(36, 118)(37, 142)(38, 121)(39, 141)(40, 131)(41, 143)(42, 144)(43, 128)(44, 130)(45, 135)(46, 133)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.776
Graph:: bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y2 * Y1^-4, (Y2 * Y1^-1)^3, Y2 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 10, 58, 21, 69, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 13, 61, 4, 52, 12, 60, 28, 76, 11, 59)(7, 55, 20, 68, 35, 83, 24, 72, 8, 56, 23, 71, 36, 84, 22, 70)(14, 62, 29, 77, 40, 88, 27, 75, 15, 63, 30, 78, 39, 87, 26, 74)(18, 66, 31, 79, 41, 89, 34, 82, 19, 67, 33, 81, 42, 90, 32, 80)(37, 85, 45, 93, 48, 96, 43, 91, 38, 86, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 116, 164)(108, 156, 123, 171)(109, 157, 119, 167)(111, 159, 113, 161)(112, 160, 115, 163)(118, 166, 127, 175)(120, 168, 129, 177)(121, 169, 133, 181)(124, 172, 134, 182)(125, 173, 130, 178)(126, 174, 128, 176)(131, 179, 139, 187)(132, 180, 140, 188)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 119)(12, 122)(13, 116)(14, 113)(15, 101)(16, 114)(17, 110)(18, 112)(19, 102)(20, 109)(21, 103)(22, 129)(23, 107)(24, 127)(25, 134)(26, 108)(27, 105)(28, 133)(29, 128)(30, 130)(31, 120)(32, 125)(33, 118)(34, 126)(35, 140)(36, 139)(37, 124)(38, 121)(39, 142)(40, 141)(41, 144)(42, 143)(43, 132)(44, 131)(45, 136)(46, 135)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.775
Graph:: bipartite
	v = 30 e = 96 f = 32
	degree seq :: [ 4^24, 16^6 ]

E18.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y3^3, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 9, 57, 7, 55, 5, 53)(3, 51, 11, 59, 13, 61, 25, 73, 15, 63, 14, 62)(6, 54, 18, 66, 19, 67, 24, 72, 21, 69, 8, 56)(10, 58, 26, 74, 17, 65, 22, 70, 28, 76, 16, 64)(12, 60, 30, 78, 31, 79, 20, 68, 33, 81, 32, 80)(23, 71, 38, 86, 39, 87, 27, 75, 37, 85, 40, 88)(29, 77, 42, 90, 35, 83, 36, 84, 41, 89, 34, 82)(43, 91, 48, 96, 45, 93, 46, 94, 47, 95, 44, 92)(97, 145, 99, 147, 108, 156, 120, 168, 105, 153, 121, 169, 116, 164, 102, 150)(98, 146, 104, 152, 119, 167, 118, 166, 103, 151, 115, 163, 123, 171, 106, 154)(100, 148, 112, 160, 125, 173, 107, 155, 101, 149, 113, 161, 132, 180, 111, 159)(109, 157, 130, 178, 139, 187, 126, 174, 110, 158, 131, 179, 142, 190, 129, 177)(114, 162, 127, 175, 140, 188, 134, 182, 117, 165, 128, 176, 141, 189, 133, 181)(122, 170, 135, 183, 143, 191, 138, 186, 124, 172, 136, 184, 144, 192, 137, 185)
	L = (1, 100)(2, 105)(3, 109)(4, 103)(5, 98)(6, 115)(7, 97)(8, 114)(9, 101)(10, 113)(11, 121)(12, 127)(13, 111)(14, 107)(15, 99)(16, 122)(17, 124)(18, 120)(19, 117)(20, 128)(21, 102)(22, 112)(23, 135)(24, 104)(25, 110)(26, 118)(27, 136)(28, 106)(29, 131)(30, 116)(31, 129)(32, 126)(33, 108)(34, 138)(35, 137)(36, 130)(37, 119)(38, 123)(39, 133)(40, 134)(41, 125)(42, 132)(43, 141)(44, 144)(45, 143)(46, 140)(47, 139)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E18.774
Graph:: bipartite
	v = 14 e = 96 f = 48
	degree seq :: [ 12^8, 16^6 ]

E18.780 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 12, 12})
Quotient :: edge
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T1^8, T2^5 * T1^-4 * T2 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 36, 42, 26, 41, 40, 25, 13, 5)(2, 7, 17, 31, 47, 37, 22, 33, 48, 32, 18, 8)(4, 9, 20, 35, 44, 28, 14, 27, 43, 39, 24, 12)(6, 15, 29, 45, 38, 23, 11, 19, 34, 46, 30, 16)(49, 50, 54, 62, 74, 70, 59, 52)(51, 57, 67, 81, 89, 75, 63, 55)(53, 60, 71, 85, 90, 76, 64, 56)(58, 65, 77, 91, 88, 96, 82, 68)(61, 66, 78, 92, 84, 95, 86, 72)(69, 83, 94, 80, 73, 87, 93, 79)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^8 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E18.781
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 8^6, 12^4 ]

E18.781 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 12, 12})
Quotient :: loop
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1^2 * T2^-2 * T1^-1, T1^8, T2^5 * T1^-4 * T2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 21, 69, 36, 84, 42, 90, 26, 74, 41, 89, 40, 88, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 47, 95, 37, 85, 22, 70, 33, 81, 48, 96, 32, 80, 18, 66, 8, 56)(4, 52, 9, 57, 20, 68, 35, 83, 44, 92, 28, 76, 14, 62, 27, 75, 43, 91, 39, 87, 24, 72, 12, 60)(6, 54, 15, 63, 29, 77, 45, 93, 38, 86, 23, 71, 11, 59, 19, 67, 34, 82, 46, 94, 30, 78, 16, 64)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 60)(6, 62)(7, 51)(8, 53)(9, 67)(10, 65)(11, 52)(12, 71)(13, 66)(14, 74)(15, 55)(16, 56)(17, 77)(18, 78)(19, 81)(20, 58)(21, 83)(22, 59)(23, 85)(24, 61)(25, 87)(26, 70)(27, 63)(28, 64)(29, 91)(30, 92)(31, 69)(32, 73)(33, 89)(34, 68)(35, 94)(36, 95)(37, 90)(38, 72)(39, 93)(40, 96)(41, 75)(42, 76)(43, 88)(44, 84)(45, 79)(46, 80)(47, 86)(48, 82)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.780
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 24^4 ]

E18.782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^8, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^4 * Y1^-1, Y3 * Y2^3 * Y1 * Y2^3 * Y1^-2, Y2^5 * Y3^-4 * Y2, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 9, 57, 19, 67, 33, 81, 41, 89, 27, 75, 15, 63, 7, 55)(5, 53, 12, 60, 23, 71, 37, 85, 42, 90, 28, 76, 16, 64, 8, 56)(10, 58, 17, 65, 29, 77, 43, 91, 40, 88, 48, 96, 34, 82, 20, 68)(13, 61, 18, 66, 30, 78, 44, 92, 36, 84, 47, 95, 38, 86, 24, 72)(21, 69, 35, 83, 46, 94, 32, 80, 25, 73, 39, 87, 45, 93, 31, 79)(97, 145, 99, 147, 106, 154, 117, 165, 132, 180, 138, 186, 122, 170, 137, 185, 136, 184, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 143, 191, 133, 181, 118, 166, 129, 177, 144, 192, 128, 176, 114, 162, 104, 152)(100, 148, 105, 153, 116, 164, 131, 179, 140, 188, 124, 172, 110, 158, 123, 171, 139, 187, 135, 183, 120, 168, 108, 156)(102, 150, 111, 159, 125, 173, 141, 189, 134, 182, 119, 167, 107, 155, 115, 163, 130, 178, 142, 190, 126, 174, 112, 160)
	L = (1, 100)(2, 97)(3, 103)(4, 107)(5, 104)(6, 98)(7, 111)(8, 112)(9, 99)(10, 116)(11, 118)(12, 101)(13, 120)(14, 102)(15, 123)(16, 124)(17, 106)(18, 109)(19, 105)(20, 130)(21, 127)(22, 122)(23, 108)(24, 134)(25, 128)(26, 110)(27, 137)(28, 138)(29, 113)(30, 114)(31, 141)(32, 142)(33, 115)(34, 144)(35, 117)(36, 140)(37, 119)(38, 143)(39, 121)(40, 139)(41, 129)(42, 133)(43, 125)(44, 126)(45, 135)(46, 131)(47, 132)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 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 E18.783
Graph:: bipartite
	v = 10 e = 96 f = 52
	degree seq :: [ 16^6, 24^4 ]

E18.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q16 (small group id <48, 27>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^8, Y3^2 * Y1^-2 * Y3^2 * Y1^-4, Y3^-2 * Y1^3 * Y3^-2 * Y1^-3, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 41, 89, 33, 81, 48, 96, 40, 88, 24, 72, 12, 60, 4, 52)(3, 51, 8, 56, 15, 63, 28, 76, 42, 90, 37, 85, 25, 73, 31, 79, 47, 95, 36, 84, 21, 69, 10, 58)(5, 53, 7, 55, 16, 64, 27, 75, 43, 91, 34, 82, 19, 67, 32, 80, 46, 94, 39, 87, 23, 71, 11, 59)(9, 57, 18, 66, 29, 77, 45, 93, 38, 86, 22, 70, 13, 61, 17, 65, 30, 78, 44, 92, 35, 83, 20, 68)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 100)(11, 118)(12, 117)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 106)(21, 131)(22, 133)(23, 108)(24, 135)(25, 109)(26, 138)(27, 140)(28, 110)(29, 142)(30, 112)(31, 144)(32, 114)(33, 121)(34, 116)(35, 139)(36, 120)(37, 137)(38, 119)(39, 141)(40, 143)(41, 130)(42, 134)(43, 122)(44, 132)(45, 124)(46, 136)(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) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.782
Graph:: simple bipartite
	v = 52 e = 96 f = 10
	degree seq :: [ 2^48, 24^4 ]

E18.784 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 16, 16})
Quotient :: edge
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2 * T1 * T2^-1 * T1, (F * T1)^2, T1^6, T2 * T1^-2 * T2^2 * T1^-1 * T2^5, T2^-4 * T1^-2 * T2^2 * T1^-3 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 33, 45, 38, 26, 14, 25, 37, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 46, 34, 22, 11, 19, 31, 43, 42, 30, 18, 8)(4, 9, 20, 32, 44, 40, 28, 16, 6, 15, 27, 39, 47, 35, 23, 12)(49, 50, 54, 62, 59, 52)(51, 57, 67, 73, 63, 55)(53, 60, 70, 74, 64, 56)(58, 65, 75, 85, 79, 68)(61, 66, 76, 86, 82, 71)(69, 80, 91, 96, 87, 77)(72, 83, 94, 93, 88, 78)(81, 89, 95, 84, 90, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 32^6 ), ( 32^16 ) }
Outer automorphisms :: reflexible
Dual of E18.785
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 48 f = 3
	degree seq :: [ 6^8, 16^3 ]

E18.785 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 16, 16})
Quotient :: loop
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T2 * T1 * T2^-1 * T1, (F * T1)^2, T1^6, T2 * T1^-2 * T2^2 * T1^-1 * T2^5, T2^-4 * T1^-2 * T2^2 * T1^-3 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 21, 69, 33, 81, 45, 93, 38, 86, 26, 74, 14, 62, 25, 73, 37, 85, 48, 96, 36, 84, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 41, 89, 46, 94, 34, 82, 22, 70, 11, 59, 19, 67, 31, 79, 43, 91, 42, 90, 30, 78, 18, 66, 8, 56)(4, 52, 9, 57, 20, 68, 32, 80, 44, 92, 40, 88, 28, 76, 16, 64, 6, 54, 15, 63, 27, 75, 39, 87, 47, 95, 35, 83, 23, 71, 12, 60)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 60)(6, 62)(7, 51)(8, 53)(9, 67)(10, 65)(11, 52)(12, 70)(13, 66)(14, 59)(15, 55)(16, 56)(17, 75)(18, 76)(19, 73)(20, 58)(21, 80)(22, 74)(23, 61)(24, 83)(25, 63)(26, 64)(27, 85)(28, 86)(29, 69)(30, 72)(31, 68)(32, 91)(33, 89)(34, 71)(35, 94)(36, 90)(37, 79)(38, 82)(39, 77)(40, 78)(41, 95)(42, 92)(43, 96)(44, 81)(45, 88)(46, 93)(47, 84)(48, 87)
	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, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.784
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 11
	degree seq :: [ 32^3 ]

E18.786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 16})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3)^2, Y1^6, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y3^-1, Y1 * Y2 * Y3 * Y2^2 * Y3 * Y2^5, (Y2^-1 * Y1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 11, 59, 4, 52)(3, 51, 9, 57, 19, 67, 25, 73, 15, 63, 7, 55)(5, 53, 12, 60, 22, 70, 26, 74, 16, 64, 8, 56)(10, 58, 17, 65, 27, 75, 37, 85, 31, 79, 20, 68)(13, 61, 18, 66, 28, 76, 38, 86, 34, 82, 23, 71)(21, 69, 32, 80, 43, 91, 48, 96, 39, 87, 29, 77)(24, 72, 35, 83, 46, 94, 45, 93, 40, 88, 30, 78)(33, 81, 41, 89, 47, 95, 36, 84, 42, 90, 44, 92)(97, 145, 99, 147, 106, 154, 117, 165, 129, 177, 141, 189, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 144, 192, 132, 180, 120, 168, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 137, 185, 142, 190, 130, 178, 118, 166, 107, 155, 115, 163, 127, 175, 139, 187, 138, 186, 126, 174, 114, 162, 104, 152)(100, 148, 105, 153, 116, 164, 128, 176, 140, 188, 136, 184, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 135, 183, 143, 191, 131, 179, 119, 167, 108, 156)
	L = (1, 100)(2, 97)(3, 103)(4, 107)(5, 104)(6, 98)(7, 111)(8, 112)(9, 99)(10, 116)(11, 110)(12, 101)(13, 119)(14, 102)(15, 121)(16, 122)(17, 106)(18, 109)(19, 105)(20, 127)(21, 125)(22, 108)(23, 130)(24, 126)(25, 115)(26, 118)(27, 113)(28, 114)(29, 135)(30, 136)(31, 133)(32, 117)(33, 140)(34, 134)(35, 120)(36, 143)(37, 123)(38, 124)(39, 144)(40, 141)(41, 129)(42, 132)(43, 128)(44, 138)(45, 142)(46, 131)(47, 137)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.787
Graph:: bipartite
	v = 11 e = 96 f = 51
	degree seq :: [ 12^8, 32^3 ]

E18.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 16, 16})
Quotient :: dipole
Aut^+ = C3 : C16 (small group id <48, 1>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-4 * Y1^-1, Y1^4 * Y3^-1 * Y1^4 * Y3^-2, (Y3 * Y2^-1)^6, Y1^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 25, 73, 37, 85, 43, 91, 31, 79, 19, 67, 30, 78, 42, 90, 48, 96, 36, 84, 24, 72, 12, 60, 4, 52)(3, 51, 8, 56, 15, 63, 27, 75, 38, 86, 46, 94, 34, 82, 22, 70, 13, 61, 17, 65, 29, 77, 40, 88, 45, 93, 33, 81, 21, 69, 10, 58)(5, 53, 7, 55, 16, 64, 26, 74, 39, 87, 44, 92, 32, 80, 20, 68, 9, 57, 18, 66, 28, 76, 41, 89, 47, 95, 35, 83, 23, 71, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 100)(11, 118)(12, 117)(13, 101)(14, 122)(15, 124)(16, 102)(17, 126)(18, 104)(19, 109)(20, 106)(21, 128)(22, 127)(23, 108)(24, 131)(25, 134)(26, 136)(27, 110)(28, 138)(29, 112)(30, 114)(31, 116)(32, 139)(33, 120)(34, 119)(35, 142)(36, 141)(37, 140)(38, 143)(39, 121)(40, 144)(41, 123)(42, 125)(43, 130)(44, 129)(45, 135)(46, 133)(47, 132)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 32 ), ( 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32, 12, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.786
Graph:: simple bipartite
	v = 51 e = 96 f = 11
	degree seq :: [ 2^48, 32^3 ]

E18.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2)^2, 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 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 9, 57)(5, 53, 10, 58)(7, 55, 11, 59)(8, 56, 12, 60)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 101, 149)(103, 151, 104, 152)(105, 153, 106, 154)(107, 155, 108, 156)(109, 157, 110, 158)(111, 159, 112, 160)(113, 161, 114, 162)(115, 163, 116, 164)(117, 165, 118, 166)(119, 167, 120, 168)(121, 169, 122, 170)(123, 171, 124, 172)(125, 173, 126, 174)(127, 175, 128, 176)(129, 177, 130, 178)(131, 179, 132, 180)(133, 181, 134, 182)(135, 183, 136, 184)(137, 185, 138, 186)(139, 187, 140, 188)(141, 189, 142, 190)(143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 101)(4, 99)(5, 97)(6, 104)(7, 102)(8, 98)(9, 109)(10, 110)(11, 111)(12, 112)(13, 106)(14, 105)(15, 108)(16, 107)(17, 117)(18, 118)(19, 119)(20, 120)(21, 114)(22, 113)(23, 116)(24, 115)(25, 125)(26, 126)(27, 127)(28, 128)(29, 122)(30, 121)(31, 124)(32, 123)(33, 133)(34, 134)(35, 135)(36, 136)(37, 130)(38, 129)(39, 132)(40, 131)(41, 141)(42, 142)(43, 143)(44, 144)(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) :: { ( 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.793
Graph:: simple bipartite
	v = 48 e = 96 f = 14
	degree seq :: [ 4^48 ]

E18.789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, 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 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 6, 54)(7, 55, 10, 58)(8, 56, 9, 57)(11, 59, 12, 60)(13, 61, 14, 62)(15, 63, 16, 64)(17, 65, 18, 66)(19, 67, 20, 68)(21, 69, 22, 70)(23, 71, 24, 72)(25, 73, 26, 74)(27, 75, 28, 76)(29, 77, 30, 78)(31, 79, 32, 80)(33, 81, 34, 82)(35, 83, 36, 84)(37, 85, 38, 86)(39, 87, 40, 88)(41, 89, 42, 90)(43, 91, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 98, 146, 101, 149)(100, 148, 104, 152, 102, 150, 105, 153)(103, 151, 107, 155, 106, 154, 108, 156)(109, 157, 113, 161, 110, 158, 114, 162)(111, 159, 115, 163, 112, 160, 116, 164)(117, 165, 121, 169, 118, 166, 122, 170)(119, 167, 123, 171, 120, 168, 124, 172)(125, 173, 129, 177, 126, 174, 130, 178)(127, 175, 131, 179, 128, 176, 132, 180)(133, 181, 137, 185, 134, 182, 138, 186)(135, 183, 139, 187, 136, 184, 140, 188)(141, 189, 144, 192, 142, 190, 143, 191)
	L = (1, 100)(2, 102)(3, 103)(4, 97)(5, 106)(6, 98)(7, 99)(8, 109)(9, 110)(10, 101)(11, 111)(12, 112)(13, 104)(14, 105)(15, 107)(16, 108)(17, 117)(18, 118)(19, 119)(20, 120)(21, 113)(22, 114)(23, 115)(24, 116)(25, 125)(26, 126)(27, 127)(28, 128)(29, 121)(30, 122)(31, 123)(32, 124)(33, 133)(34, 134)(35, 135)(36, 136)(37, 129)(38, 130)(39, 131)(40, 132)(41, 141)(42, 142)(43, 143)(44, 144)(45, 137)(46, 138)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.792
Graph:: bipartite
	v = 36 e = 96 f = 26
	degree seq :: [ 4^24, 8^12 ]

E18.790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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, Y3^2, R^2, Y3 * Y2^-2 * Y1, Y2^-2 * Y3 * Y1, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * R * Y2 * R, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 10, 58)(6, 54, 11, 59)(8, 56, 12, 60)(13, 61, 17, 65)(14, 62, 18, 66)(15, 63, 19, 67)(16, 64, 20, 68)(21, 69, 25, 73)(22, 70, 26, 74)(23, 71, 27, 75)(24, 72, 28, 76)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 41, 89)(38, 86, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 103, 151, 101, 149)(98, 146, 102, 150, 100, 148, 104, 152)(105, 153, 109, 157, 106, 154, 110, 158)(107, 155, 111, 159, 108, 156, 112, 160)(113, 161, 117, 165, 114, 162, 118, 166)(115, 163, 119, 167, 116, 164, 120, 168)(121, 169, 125, 173, 122, 170, 126, 174)(123, 171, 127, 175, 124, 172, 128, 176)(129, 177, 133, 181, 130, 178, 134, 182)(131, 179, 135, 183, 132, 180, 136, 184)(137, 185, 141, 189, 138, 186, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 105)(6, 108)(7, 98)(8, 107)(9, 101)(10, 99)(11, 104)(12, 102)(13, 114)(14, 113)(15, 116)(16, 115)(17, 110)(18, 109)(19, 112)(20, 111)(21, 122)(22, 121)(23, 124)(24, 123)(25, 118)(26, 117)(27, 120)(28, 119)(29, 130)(30, 129)(31, 132)(32, 131)(33, 126)(34, 125)(35, 128)(36, 127)(37, 138)(38, 137)(39, 140)(40, 139)(41, 134)(42, 133)(43, 136)(44, 135)(45, 143)(46, 144)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.791
Graph:: bipartite
	v = 36 e = 96 f = 26
	degree seq :: [ 4^24, 8^12 ]

E18.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (Y3 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3, Y1^12 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 23, 71, 31, 79, 39, 87, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58, 3, 51, 7, 55, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 38, 86, 30, 78, 22, 70, 14, 62, 5, 53)(4, 52, 11, 59, 20, 68, 28, 76, 36, 84, 44, 92, 48, 96, 41, 89, 34, 82, 25, 73, 18, 66, 8, 56, 9, 57, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 47, 95, 42, 90, 33, 81, 26, 74, 17, 65, 12, 60)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 108, 156)(107, 155, 109, 157)(110, 158, 115, 163)(111, 159, 120, 168)(113, 161, 114, 162)(116, 164, 117, 165)(118, 166, 123, 171)(119, 167, 128, 176)(121, 169, 122, 170)(124, 172, 125, 173)(126, 174, 131, 179)(127, 175, 136, 184)(129, 177, 130, 178)(132, 180, 133, 181)(134, 182, 139, 187)(135, 183, 142, 190)(137, 185, 138, 186)(140, 188, 141, 189)(143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 108)(8, 98)(9, 99)(10, 107)(11, 106)(12, 103)(13, 101)(14, 116)(15, 121)(16, 114)(17, 102)(18, 112)(19, 117)(20, 110)(21, 115)(22, 125)(23, 129)(24, 122)(25, 111)(26, 120)(27, 124)(28, 123)(29, 118)(30, 132)(31, 137)(32, 130)(33, 119)(34, 128)(35, 133)(36, 126)(37, 131)(38, 141)(39, 143)(40, 138)(41, 127)(42, 136)(43, 140)(44, 139)(45, 134)(46, 144)(47, 135)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.790
Graph:: bipartite
	v = 26 e = 96 f = 36
	degree seq :: [ 4^24, 48^2 ]

E18.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y1 * Y3 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^4 * Y2 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58, 16, 64, 24, 72, 32, 80, 40, 88, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 47, 95, 38, 86, 31, 79, 22, 70, 15, 63, 7, 55, 4, 52, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 46, 94, 39, 87, 30, 78, 23, 71, 14, 62, 8, 56)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 107, 155)(102, 150, 110, 158)(104, 152, 112, 160)(105, 153, 114, 162)(108, 156, 113, 161)(109, 157, 118, 166)(111, 159, 120, 168)(115, 163, 122, 170)(116, 164, 123, 171)(117, 165, 126, 174)(119, 167, 128, 176)(121, 169, 130, 178)(124, 172, 129, 177)(125, 173, 134, 182)(127, 175, 136, 184)(131, 179, 138, 186)(132, 180, 139, 187)(133, 181, 142, 190)(135, 183, 144, 192)(137, 185, 141, 189)(140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 105)(6, 111)(7, 112)(8, 98)(9, 101)(10, 99)(11, 114)(12, 115)(13, 119)(14, 120)(15, 102)(16, 103)(17, 122)(18, 107)(19, 108)(20, 121)(21, 127)(22, 128)(23, 109)(24, 110)(25, 116)(26, 113)(27, 130)(28, 131)(29, 135)(30, 136)(31, 117)(32, 118)(33, 138)(34, 123)(35, 124)(36, 137)(37, 143)(38, 144)(39, 125)(40, 126)(41, 132)(42, 129)(43, 141)(44, 142)(45, 139)(46, 140)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.789
Graph:: bipartite
	v = 26 e = 96 f = 36
	degree seq :: [ 4^24, 48^2 ]

E18.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 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 * Y1^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, (Y3 * Y2^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * R * Y2^2 * R, Y2^11 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 13, 61, 8, 56)(5, 53, 11, 59, 14, 62, 7, 55)(10, 58, 16, 64, 21, 69, 17, 65)(12, 60, 15, 63, 22, 70, 19, 67)(18, 66, 25, 73, 29, 77, 24, 72)(20, 68, 27, 75, 30, 78, 23, 71)(26, 74, 32, 80, 37, 85, 33, 81)(28, 76, 31, 79, 38, 86, 35, 83)(34, 82, 41, 89, 45, 93, 40, 88)(36, 84, 43, 91, 46, 94, 39, 87)(42, 90, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 143, 191, 137, 185, 129, 177, 121, 169, 113, 161, 105, 153, 100, 148, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 144, 192, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 100)(7, 101)(8, 99)(9, 109)(10, 112)(11, 110)(12, 111)(13, 104)(14, 103)(15, 118)(16, 117)(17, 106)(18, 121)(19, 108)(20, 123)(21, 113)(22, 115)(23, 116)(24, 114)(25, 125)(26, 128)(27, 126)(28, 127)(29, 120)(30, 119)(31, 134)(32, 133)(33, 122)(34, 137)(35, 124)(36, 139)(37, 129)(38, 131)(39, 132)(40, 130)(41, 141)(42, 144)(43, 142)(44, 143)(45, 136)(46, 135)(47, 138)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E18.788
Graph:: bipartite
	v = 14 e = 96 f = 48
	degree seq :: [ 8^12, 48^2 ]

E18.794 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-5 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, (Y2 * Y1 * Y3)^4, Y1^4 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 82, 34, 68, 20, 58, 10, 65, 17, 77, 29, 88, 40, 92, 44, 96, 48, 94, 46, 84, 36, 86, 38, 71, 23, 60, 12, 66, 18, 78, 30, 89, 41, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 76, 28, 64, 16, 56, 8, 52, 4, 59, 11, 70, 22, 85, 37, 95, 47, 91, 43, 80, 32, 72, 24, 87, 39, 79, 31, 69, 21, 83, 35, 93, 45, 90, 42, 75, 27, 63, 15, 55, 7, 51)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 42)(28, 41)(29, 39)(32, 44)(34, 45)(36, 37)(43, 48)(46, 47)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 76)(63, 77)(66, 80)(67, 82)(69, 84)(71, 87)(73, 85)(74, 81)(75, 88)(78, 91)(79, 86)(83, 94)(89, 95)(90, 92)(93, 96)
	local type(s) :: { ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E18.795
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 12
	degree seq :: [ 48^2 ]

E18.795 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|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, 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 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 61, 13, 55, 7, 51)(4, 59, 11, 62, 14, 56, 8, 52)(10, 63, 15, 69, 21, 65, 17, 58)(12, 64, 16, 70, 22, 67, 19, 60)(18, 73, 25, 77, 29, 71, 23, 66)(20, 75, 27, 78, 30, 72, 24, 68)(26, 79, 31, 85, 37, 81, 33, 74)(28, 80, 32, 86, 38, 83, 35, 76)(34, 89, 41, 93, 45, 87, 39, 82)(36, 91, 43, 94, 46, 88, 40, 84)(42, 95, 47, 96, 48, 92, 44, 90)
	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, 42)(43, 48)(46, 47)(49, 52)(50, 56)(51, 58)(53, 59)(54, 62)(55, 63)(57, 65)(60, 68)(61, 69)(64, 72)(66, 74)(67, 75)(70, 78)(71, 79)(73, 81)(76, 84)(77, 85)(80, 88)(82, 90)(83, 91)(86, 94)(87, 95)(89, 92)(93, 96)
	local type(s) :: { ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E18.794
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 2
	degree seq :: [ 8^12 ]

E18.796 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^2, Y3^4, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * 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 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 5, 53)(2, 50, 7, 55, 16, 64, 8, 56)(3, 51, 10, 58, 20, 68, 11, 59)(6, 54, 14, 62, 24, 72, 15, 63)(9, 57, 18, 66, 28, 76, 19, 67)(13, 61, 22, 70, 32, 80, 23, 71)(17, 65, 26, 74, 36, 84, 27, 75)(21, 69, 30, 78, 40, 88, 31, 79)(25, 73, 34, 82, 44, 92, 35, 83)(29, 77, 38, 86, 46, 94, 39, 87)(33, 81, 42, 90, 48, 96, 43, 91)(37, 85, 45, 93, 47, 95, 41, 89)(97, 98)(99, 105)(100, 104)(101, 103)(102, 109)(106, 115)(107, 114)(108, 112)(110, 119)(111, 118)(113, 121)(116, 124)(117, 125)(120, 128)(122, 131)(123, 130)(126, 135)(127, 134)(129, 137)(132, 140)(133, 139)(136, 142)(138, 143)(141, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 159)(152, 158)(153, 161)(156, 164)(157, 165)(160, 168)(162, 171)(163, 170)(166, 175)(167, 174)(169, 177)(172, 180)(173, 181)(176, 184)(178, 187)(179, 186)(182, 185)(183, 189)(188, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 96, 96 ), ( 96^8 ) }
Outer automorphisms :: reflexible
Dual of E18.799
Graph:: simple bipartite
	v = 60 e = 96 f = 2
	degree seq :: [ 2^48, 8^12 ]

E18.797 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 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, Y1 * Y3^-1 * Y2 * Y3^6, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^4 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 40, 88, 37, 85, 21, 69, 9, 57, 20, 68, 36, 84, 26, 74, 42, 90, 48, 96, 45, 93, 33, 81, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 41, 89, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 44, 92, 43, 91, 28, 76, 14, 62, 27, 75, 35, 83, 19, 67, 34, 82, 46, 94, 47, 95, 39, 87, 23, 71, 11, 59, 3, 51, 10, 58, 22, 70, 38, 86, 32, 80, 18, 66, 8, 56)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 124)(112, 123)(115, 129)(118, 133)(119, 132)(120, 128)(121, 127)(122, 135)(125, 139)(126, 131)(130, 141)(134, 136)(137, 140)(138, 143)(142, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 170)(161, 174)(162, 173)(164, 179)(165, 178)(168, 183)(169, 182)(171, 180)(172, 186)(175, 177)(176, 185)(181, 190)(184, 191)(187, 192)(188, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^48 ) }
Outer automorphisms :: reflexible
Dual of E18.798
Graph:: simple bipartite
	v = 50 e = 96 f = 12
	degree seq :: [ 2^48, 48^2 ]

E18.798 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1)^2, Y3^4, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * 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 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 16, 64, 112, 160, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 20, 68, 116, 164, 11, 59, 107, 155)(6, 54, 102, 150, 14, 62, 110, 158, 24, 72, 120, 168, 15, 63, 111, 159)(9, 57, 105, 153, 18, 66, 114, 162, 28, 76, 124, 172, 19, 67, 115, 163)(13, 61, 109, 157, 22, 70, 118, 166, 32, 80, 128, 176, 23, 71, 119, 167)(17, 65, 113, 161, 26, 74, 122, 170, 36, 84, 132, 180, 27, 75, 123, 171)(21, 69, 117, 165, 30, 78, 126, 174, 40, 88, 136, 184, 31, 79, 127, 175)(25, 73, 121, 169, 34, 82, 130, 178, 44, 92, 140, 188, 35, 83, 131, 179)(29, 77, 125, 173, 38, 86, 134, 182, 46, 94, 142, 190, 39, 87, 135, 183)(33, 81, 129, 177, 42, 90, 138, 186, 48, 96, 144, 192, 43, 91, 139, 187)(37, 85, 133, 181, 45, 93, 141, 189, 47, 95, 143, 191, 41, 89, 137, 185)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 61)(7, 53)(8, 52)(9, 51)(10, 67)(11, 66)(12, 64)(13, 54)(14, 71)(15, 70)(16, 60)(17, 73)(18, 59)(19, 58)(20, 76)(21, 77)(22, 63)(23, 62)(24, 80)(25, 65)(26, 83)(27, 82)(28, 68)(29, 69)(30, 87)(31, 86)(32, 72)(33, 89)(34, 75)(35, 74)(36, 92)(37, 91)(38, 79)(39, 78)(40, 94)(41, 81)(42, 95)(43, 85)(44, 84)(45, 96)(46, 88)(47, 90)(48, 93)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 159)(104, 158)(105, 161)(106, 149)(107, 148)(108, 164)(109, 165)(110, 152)(111, 151)(112, 168)(113, 153)(114, 171)(115, 170)(116, 156)(117, 157)(118, 175)(119, 174)(120, 160)(121, 177)(122, 163)(123, 162)(124, 180)(125, 181)(126, 167)(127, 166)(128, 184)(129, 169)(130, 187)(131, 186)(132, 172)(133, 173)(134, 185)(135, 189)(136, 176)(137, 182)(138, 179)(139, 178)(140, 192)(141, 183)(142, 191)(143, 190)(144, 188)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.797
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 50
	degree seq :: [ 16^12 ]

E18.799 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 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, Y1 * Y3^-1 * Y2 * Y3^6, Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 40, 88, 136, 184, 37, 85, 133, 181, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 36, 84, 132, 180, 26, 74, 122, 170, 42, 90, 138, 186, 48, 96, 144, 192, 45, 93, 141, 189, 33, 81, 129, 177, 30, 78, 126, 174, 16, 64, 112, 160, 6, 54, 102, 150, 15, 63, 111, 159, 29, 77, 125, 173, 41, 89, 137, 185, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 31, 79, 127, 175, 44, 92, 140, 188, 43, 91, 139, 187, 28, 76, 124, 172, 14, 62, 110, 158, 27, 75, 123, 171, 35, 83, 131, 179, 19, 67, 115, 163, 34, 82, 130, 178, 46, 94, 142, 190, 47, 95, 143, 191, 39, 87, 135, 183, 23, 71, 119, 167, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 38, 86, 134, 182, 32, 80, 128, 176, 18, 66, 114, 162, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 76)(16, 75)(17, 61)(18, 60)(19, 81)(20, 59)(21, 58)(22, 85)(23, 84)(24, 80)(25, 79)(26, 87)(27, 64)(28, 63)(29, 91)(30, 83)(31, 73)(32, 72)(33, 67)(34, 93)(35, 78)(36, 71)(37, 70)(38, 88)(39, 74)(40, 86)(41, 92)(42, 95)(43, 77)(44, 89)(45, 82)(46, 96)(47, 90)(48, 94)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 167)(109, 166)(110, 170)(111, 152)(112, 151)(113, 174)(114, 173)(115, 153)(116, 179)(117, 178)(118, 157)(119, 156)(120, 183)(121, 182)(122, 158)(123, 180)(124, 186)(125, 162)(126, 161)(127, 177)(128, 185)(129, 175)(130, 165)(131, 164)(132, 171)(133, 190)(134, 169)(135, 168)(136, 191)(137, 176)(138, 172)(139, 192)(140, 189)(141, 188)(142, 181)(143, 184)(144, 187)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.796
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 60
	degree seq :: [ 96^2 ]

E18.800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^4, 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 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 23, 71)(13, 61, 22, 70)(14, 62, 24, 72)(15, 63, 20, 68)(16, 64, 19, 67)(17, 65, 21, 69)(25, 73, 34, 82)(26, 74, 33, 81)(27, 75, 39, 87)(28, 76, 38, 86)(29, 77, 40, 88)(30, 78, 36, 84)(31, 79, 35, 83)(32, 80, 37, 85)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 111, 159)(102, 150, 109, 157, 122, 170, 112, 160)(104, 152, 115, 163, 129, 177, 118, 166)(106, 154, 116, 164, 130, 178, 119, 167)(110, 158, 123, 171, 137, 185, 126, 174)(113, 161, 124, 172, 138, 186, 127, 175)(117, 165, 131, 179, 141, 189, 134, 182)(120, 168, 132, 180, 142, 190, 135, 183)(125, 173, 128, 176, 139, 187, 140, 188)(133, 181, 136, 184, 143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 129)(19, 131)(20, 103)(21, 133)(22, 134)(23, 105)(24, 106)(25, 137)(26, 107)(27, 128)(28, 109)(29, 127)(30, 140)(31, 112)(32, 113)(33, 141)(34, 114)(35, 136)(36, 116)(37, 135)(38, 144)(39, 119)(40, 120)(41, 139)(42, 122)(43, 124)(44, 138)(45, 143)(46, 130)(47, 132)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.803
Graph:: simple bipartite
	v = 36 e = 96 f = 26
	degree seq :: [ 4^24, 8^12 ]

E18.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^4, Y3^6 * Y2^-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)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 23, 71)(13, 61, 22, 70)(14, 62, 24, 72)(15, 63, 20, 68)(16, 64, 19, 67)(17, 65, 21, 69)(25, 73, 34, 82)(26, 74, 33, 81)(27, 75, 39, 87)(28, 76, 38, 86)(29, 77, 40, 88)(30, 78, 36, 84)(31, 79, 35, 83)(32, 80, 37, 85)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 111, 159)(102, 150, 109, 157, 122, 170, 112, 160)(104, 152, 115, 163, 129, 177, 118, 166)(106, 154, 116, 164, 130, 178, 119, 167)(110, 158, 123, 171, 137, 185, 126, 174)(113, 161, 124, 172, 138, 186, 127, 175)(117, 165, 131, 179, 141, 189, 134, 182)(120, 168, 132, 180, 142, 190, 135, 183)(125, 173, 139, 187, 140, 188, 128, 176)(133, 181, 143, 191, 144, 192, 136, 184)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 129)(19, 131)(20, 103)(21, 133)(22, 134)(23, 105)(24, 106)(25, 137)(26, 107)(27, 139)(28, 109)(29, 124)(30, 128)(31, 112)(32, 113)(33, 141)(34, 114)(35, 143)(36, 116)(37, 132)(38, 136)(39, 119)(40, 120)(41, 140)(42, 122)(43, 138)(44, 127)(45, 144)(46, 130)(47, 142)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.802
Graph:: simple bipartite
	v = 36 e = 96 f = 26
	degree seq :: [ 4^24, 8^12 ]

E18.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-3, Y3^-1 * Y1 * Y3^-4, (Y2 * Y3^-1 * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 15, 63, 4, 52, 9, 57, 21, 69, 36, 84, 32, 80, 14, 62, 25, 73, 39, 87, 34, 82, 18, 66, 26, 74, 40, 88, 33, 81, 17, 65, 6, 54, 10, 58, 22, 70, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 37, 85, 23, 71, 12, 60, 28, 76, 43, 91, 47, 95, 41, 89, 30, 78, 44, 92, 48, 96, 42, 90, 31, 79, 45, 93, 46, 94, 38, 86, 24, 72, 13, 61, 29, 77, 35, 83, 20, 68, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 120, 168)(106, 154, 119, 167)(110, 158, 127, 175)(111, 159, 125, 173)(112, 160, 123, 171)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 131, 179)(117, 165, 134, 182)(118, 166, 133, 181)(121, 169, 138, 186)(122, 170, 137, 185)(128, 176, 141, 189)(129, 177, 139, 187)(130, 178, 140, 188)(132, 180, 142, 190)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 117)(8, 119)(9, 121)(10, 98)(11, 124)(12, 126)(13, 99)(14, 122)(15, 128)(16, 115)(17, 101)(18, 102)(19, 132)(20, 133)(21, 135)(22, 103)(23, 137)(24, 104)(25, 136)(26, 106)(27, 139)(28, 140)(29, 107)(30, 141)(31, 109)(32, 114)(33, 112)(34, 113)(35, 123)(36, 130)(37, 143)(38, 116)(39, 129)(40, 118)(41, 127)(42, 120)(43, 144)(44, 142)(45, 125)(46, 131)(47, 138)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.801
Graph:: bipartite
	v = 26 e = 96 f = 36
	degree seq :: [ 4^24, 48^2 ]

E18.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3, Y1^-1), (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-4, Y1^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 35, 83, 33, 81, 17, 65, 6, 54, 10, 58, 22, 70, 14, 62, 25, 73, 40, 88, 34, 82, 18, 66, 26, 74, 15, 63, 4, 52, 9, 57, 21, 69, 37, 85, 32, 80, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 43, 91, 47, 95, 39, 87, 24, 72, 13, 61, 29, 77, 41, 89, 30, 78, 45, 93, 48, 96, 42, 90, 31, 79, 38, 86, 23, 71, 12, 60, 28, 76, 44, 92, 46, 94, 36, 84, 20, 68, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 120, 168)(106, 154, 119, 167)(110, 158, 127, 175)(111, 159, 125, 173)(112, 160, 123, 171)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 132, 180)(117, 165, 135, 183)(118, 166, 134, 182)(121, 169, 138, 186)(122, 170, 137, 185)(128, 176, 139, 187)(129, 177, 140, 188)(130, 178, 141, 189)(131, 179, 142, 190)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 117)(8, 119)(9, 121)(10, 98)(11, 124)(12, 126)(13, 99)(14, 115)(15, 118)(16, 122)(17, 101)(18, 102)(19, 133)(20, 134)(21, 136)(22, 103)(23, 137)(24, 104)(25, 131)(26, 106)(27, 140)(28, 141)(29, 107)(30, 139)(31, 109)(32, 114)(33, 112)(34, 113)(35, 128)(36, 127)(37, 130)(38, 125)(39, 116)(40, 129)(41, 123)(42, 120)(43, 142)(44, 144)(45, 143)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.800
Graph:: bipartite
	v = 26 e = 96 f = 36
	degree seq :: [ 4^24, 48^2 ]

E18.804 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1^2 * T2 * T1^-2, T1^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^3 * T1^-2 * T2 * T1^-2, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 32, 41, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 38, 18, 37, 26, 8)(9, 27, 16, 33, 11, 31, 40, 48, 39, 36, 15, 28)(21, 42, 25, 45, 23, 44, 35, 47, 34, 46, 24, 43)(49, 50, 54, 66, 61, 52)(51, 57, 67, 87, 80, 59)(53, 63, 68, 88, 77, 64)(55, 69, 85, 82, 60, 71)(56, 72, 86, 83, 62, 73)(58, 70, 65, 74, 89, 78)(75, 95, 84, 93, 79, 91)(76, 92, 96, 90, 81, 94)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^12 ) }
Outer automorphisms :: reflexible
Dual of E18.808
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 2
	degree seq :: [ 6^8, 12^4 ]

E18.805 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^-2, T1^12, (T2^-1 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 12, 21, 36, 46, 40, 28, 35, 44, 48, 45, 34, 19, 30, 43, 33, 18, 6, 17, 15, 5)(2, 7, 20, 13, 4, 11, 26, 39, 27, 14, 29, 41, 47, 38, 24, 32, 42, 37, 23, 9, 16, 31, 22, 8)(49, 50, 54, 64, 78, 90, 96, 95, 88, 75, 60, 52)(51, 57, 65, 80, 91, 89, 93, 87, 76, 61, 69, 56)(53, 59, 66, 55, 67, 79, 92, 85, 94, 86, 73, 62)(58, 72, 63, 77, 81, 74, 82, 68, 83, 70, 84, 71)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E18.809
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 12^4, 24^2 ]

E18.806 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 24})
Quotient :: edge
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^2, T2^6, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, (T1^-1 * T2^-1 * T1^-1)^2, T2^-3 * T1^-2 * T2 * T1^-2, (T2 * T1^-1)^4, (T2 * T1 * T2)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 45, 26, 8)(4, 12, 30, 41, 36, 14)(6, 19, 40, 32, 43, 20)(9, 18, 39, 37, 15, 28)(11, 31, 42, 35, 16, 33)(13, 25, 47, 23, 46, 27)(21, 38, 34, 48, 24, 44)(49, 50, 54, 66, 86, 81, 95, 78, 58, 70, 88, 85, 96, 79, 94, 84, 65, 74, 91, 76, 92, 83, 61, 52)(51, 57, 75, 93, 82, 60, 68, 90, 77, 87, 73, 56, 72, 89, 67, 64, 53, 63, 71, 55, 69, 62, 80, 59)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^24 ) }
Outer automorphisms :: reflexible
Dual of E18.807
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 4
	degree seq :: [ 6^8, 24^2 ]

E18.807 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^-2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^-1 * T1^2 * T2 * T1^-2, T1^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2^3 * T1^-2 * T2 * T1^-2, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 13, 61, 32, 80, 41, 89, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 14, 62, 4, 52, 12, 60, 30, 78, 38, 86, 18, 66, 37, 85, 26, 74, 8, 56)(9, 57, 27, 75, 16, 64, 33, 81, 11, 59, 31, 79, 40, 88, 48, 96, 39, 87, 36, 84, 15, 63, 28, 76)(21, 69, 42, 90, 25, 73, 45, 93, 23, 71, 44, 92, 35, 83, 47, 95, 34, 82, 46, 94, 24, 72, 43, 91)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 61)(19, 87)(20, 88)(21, 85)(22, 65)(23, 55)(24, 86)(25, 56)(26, 89)(27, 95)(28, 92)(29, 64)(30, 58)(31, 91)(32, 59)(33, 94)(34, 60)(35, 62)(36, 93)(37, 82)(38, 83)(39, 80)(40, 77)(41, 78)(42, 81)(43, 75)(44, 96)(45, 79)(46, 76)(47, 84)(48, 90)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.806
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 10
	degree seq :: [ 24^4 ]

E18.808 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T2^-4 * T1^-2, T1^12, (T2^-1 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 25, 73, 12, 60, 21, 69, 36, 84, 46, 94, 40, 88, 28, 76, 35, 83, 44, 92, 48, 96, 45, 93, 34, 82, 19, 67, 30, 78, 43, 91, 33, 81, 18, 66, 6, 54, 17, 65, 15, 63, 5, 53)(2, 50, 7, 55, 20, 68, 13, 61, 4, 52, 11, 59, 26, 74, 39, 87, 27, 75, 14, 62, 29, 77, 41, 89, 47, 95, 38, 86, 24, 72, 32, 80, 42, 90, 37, 85, 23, 71, 9, 57, 16, 64, 31, 79, 22, 70, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 64)(7, 67)(8, 51)(9, 65)(10, 72)(11, 66)(12, 52)(13, 69)(14, 53)(15, 77)(16, 78)(17, 80)(18, 55)(19, 79)(20, 83)(21, 56)(22, 84)(23, 58)(24, 63)(25, 62)(26, 82)(27, 60)(28, 61)(29, 81)(30, 90)(31, 92)(32, 91)(33, 74)(34, 68)(35, 70)(36, 71)(37, 94)(38, 73)(39, 76)(40, 75)(41, 93)(42, 96)(43, 89)(44, 85)(45, 87)(46, 86)(47, 88)(48, 95)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.804
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 12
	degree seq :: [ 48^2 ]

E18.809 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 24})
Quotient :: loop
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^2, T2^6, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, (T1^-1 * T2^-1 * T1^-1)^2, T2^-3 * T1^-2 * T2 * T1^-2, (T2 * T1^-1)^4, (T2 * T1 * T2)^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 45, 93, 26, 74, 8, 56)(4, 52, 12, 60, 30, 78, 41, 89, 36, 84, 14, 62)(6, 54, 19, 67, 40, 88, 32, 80, 43, 91, 20, 68)(9, 57, 18, 66, 39, 87, 37, 85, 15, 63, 28, 76)(11, 59, 31, 79, 42, 90, 35, 83, 16, 64, 33, 81)(13, 61, 25, 73, 47, 95, 23, 71, 46, 94, 27, 75)(21, 69, 38, 86, 34, 82, 48, 96, 24, 72, 44, 92)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 75)(10, 70)(11, 51)(12, 68)(13, 52)(14, 80)(15, 71)(16, 53)(17, 74)(18, 86)(19, 64)(20, 90)(21, 62)(22, 88)(23, 55)(24, 89)(25, 56)(26, 91)(27, 93)(28, 92)(29, 87)(30, 58)(31, 94)(32, 59)(33, 95)(34, 60)(35, 61)(36, 65)(37, 96)(38, 81)(39, 73)(40, 85)(41, 67)(42, 77)(43, 76)(44, 83)(45, 82)(46, 84)(47, 78)(48, 79)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.805
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y1^6, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y1^-1 * Y2^-2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y1^-1 * Y3)^3, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^2 * Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y1 * Y2)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 32, 80, 11, 59)(5, 53, 15, 63, 20, 68, 40, 88, 29, 77, 16, 64)(7, 55, 21, 69, 37, 85, 34, 82, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 35, 83, 14, 62, 25, 73)(10, 58, 22, 70, 17, 65, 26, 74, 41, 89, 30, 78)(27, 75, 47, 95, 36, 84, 45, 93, 31, 79, 43, 91)(28, 76, 44, 92, 48, 96, 42, 90, 33, 81, 46, 94)(97, 145, 99, 147, 106, 154, 125, 173, 109, 157, 128, 176, 137, 185, 116, 164, 102, 150, 115, 163, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 110, 158, 100, 148, 108, 156, 126, 174, 134, 182, 114, 162, 133, 181, 122, 170, 104, 152)(105, 153, 123, 171, 112, 160, 129, 177, 107, 155, 127, 175, 136, 184, 144, 192, 135, 183, 132, 180, 111, 159, 124, 172)(117, 165, 138, 186, 121, 169, 141, 189, 119, 167, 140, 188, 131, 179, 143, 191, 130, 178, 142, 190, 120, 168, 139, 187)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 128)(12, 130)(13, 114)(14, 131)(15, 101)(16, 125)(17, 118)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 139)(28, 142)(29, 136)(30, 137)(31, 141)(32, 135)(33, 138)(34, 133)(35, 134)(36, 143)(37, 117)(38, 120)(39, 115)(40, 116)(41, 122)(42, 144)(43, 127)(44, 124)(45, 132)(46, 129)(47, 123)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.813
Graph:: bipartite
	v = 12 e = 96 f = 50
	degree seq :: [ 12^8, 24^4 ]

E18.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y1^-2, Y1^12, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 30, 78, 42, 90, 48, 96, 47, 95, 40, 88, 27, 75, 12, 60, 4, 52)(3, 51, 9, 57, 17, 65, 32, 80, 43, 91, 41, 89, 45, 93, 39, 87, 28, 76, 13, 61, 21, 69, 8, 56)(5, 53, 11, 59, 18, 66, 7, 55, 19, 67, 31, 79, 44, 92, 37, 85, 46, 94, 38, 86, 25, 73, 14, 62)(10, 58, 24, 72, 15, 63, 29, 77, 33, 81, 26, 74, 34, 82, 20, 68, 35, 83, 22, 70, 36, 84, 23, 71)(97, 145, 99, 147, 106, 154, 121, 169, 108, 156, 117, 165, 132, 180, 142, 190, 136, 184, 124, 172, 131, 179, 140, 188, 144, 192, 141, 189, 130, 178, 115, 163, 126, 174, 139, 187, 129, 177, 114, 162, 102, 150, 113, 161, 111, 159, 101, 149)(98, 146, 103, 151, 116, 164, 109, 157, 100, 148, 107, 155, 122, 170, 135, 183, 123, 171, 110, 158, 125, 173, 137, 185, 143, 191, 134, 182, 120, 168, 128, 176, 138, 186, 133, 181, 119, 167, 105, 153, 112, 160, 127, 175, 118, 166, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 107)(5, 97)(6, 113)(7, 116)(8, 98)(9, 112)(10, 121)(11, 122)(12, 117)(13, 100)(14, 125)(15, 101)(16, 127)(17, 111)(18, 102)(19, 126)(20, 109)(21, 132)(22, 104)(23, 105)(24, 128)(25, 108)(26, 135)(27, 110)(28, 131)(29, 137)(30, 139)(31, 118)(32, 138)(33, 114)(34, 115)(35, 140)(36, 142)(37, 119)(38, 120)(39, 123)(40, 124)(41, 143)(42, 133)(43, 129)(44, 144)(45, 130)(46, 136)(47, 134)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E18.812
Graph:: bipartite
	v = 6 e = 96 f = 56
	degree seq :: [ 24^4, 48^2 ]

E18.812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3^-1 * Y2^2 * Y3 * Y2^-2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y2 * Y3^3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^2 * Y2^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y3^-1)^4, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 136, 184, 128, 176, 107, 155)(101, 149, 111, 159, 116, 164, 138, 186, 130, 178, 112, 160)(103, 151, 117, 165, 134, 182, 126, 174, 108, 156, 119, 167)(104, 152, 120, 168, 135, 183, 131, 179, 110, 158, 121, 169)(106, 154, 125, 173, 137, 185, 132, 180, 141, 189, 122, 170)(113, 161, 129, 177, 139, 187, 118, 166, 142, 190, 124, 172)(123, 171, 140, 188, 133, 181, 144, 192, 127, 175, 143, 191)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 126)(11, 127)(12, 129)(13, 128)(14, 100)(15, 132)(16, 125)(17, 101)(18, 134)(19, 137)(20, 102)(21, 140)(22, 107)(23, 143)(24, 113)(25, 142)(26, 104)(27, 138)(28, 105)(29, 135)(30, 144)(31, 111)(32, 141)(33, 136)(34, 109)(35, 139)(36, 110)(37, 112)(38, 124)(39, 114)(40, 133)(41, 119)(42, 122)(43, 116)(44, 131)(45, 117)(46, 130)(47, 120)(48, 121)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.811
Graph:: simple bipartite
	v = 56 e = 96 f = 6
	degree seq :: [ 2^48, 12^8 ]

E18.813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2, (Y1^-2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^6, Y1^24, (Y3 * Y1 * Y3)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 38, 86, 33, 81, 47, 95, 30, 78, 10, 58, 22, 70, 40, 88, 37, 85, 48, 96, 31, 79, 46, 94, 36, 84, 17, 65, 26, 74, 43, 91, 28, 76, 44, 92, 35, 83, 13, 61, 4, 52)(3, 51, 9, 57, 27, 75, 45, 93, 34, 82, 12, 60, 20, 68, 42, 90, 29, 77, 39, 87, 25, 73, 8, 56, 24, 72, 41, 89, 19, 67, 16, 64, 5, 53, 15, 63, 23, 71, 7, 55, 21, 69, 14, 62, 32, 80, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 114)(10, 125)(11, 127)(12, 126)(13, 121)(14, 100)(15, 124)(16, 129)(17, 101)(18, 135)(19, 136)(20, 102)(21, 134)(22, 141)(23, 142)(24, 140)(25, 143)(26, 104)(27, 109)(28, 105)(29, 113)(30, 137)(31, 138)(32, 139)(33, 107)(34, 144)(35, 112)(36, 110)(37, 111)(38, 130)(39, 133)(40, 128)(41, 132)(42, 131)(43, 116)(44, 117)(45, 122)(46, 123)(47, 119)(48, 120)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E18.810
Graph:: simple bipartite
	v = 50 e = 96 f = 12
	degree seq :: [ 2^48, 48^2 ]

E18.814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y2^-3 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^3 * Y1^-3, Y3 * Y2^-3 * Y1^-1 * Y2 * Y1^-2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^3 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 40, 88, 32, 80, 11, 59)(5, 53, 15, 63, 20, 68, 42, 90, 35, 83, 16, 64)(7, 55, 21, 69, 38, 86, 34, 82, 12, 60, 23, 71)(8, 56, 24, 72, 39, 87, 36, 84, 14, 62, 25, 73)(10, 58, 29, 77, 41, 89, 26, 74, 47, 95, 30, 78)(17, 65, 33, 81, 43, 91, 28, 76, 45, 93, 22, 70)(27, 75, 44, 92, 37, 85, 48, 96, 31, 79, 46, 94)(97, 145, 99, 147, 106, 154, 117, 165, 140, 188, 121, 169, 139, 187, 116, 164, 102, 150, 115, 163, 137, 185, 130, 178, 144, 192, 120, 168, 141, 189, 131, 179, 109, 157, 128, 176, 143, 191, 119, 167, 142, 190, 132, 180, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 133, 181, 111, 159, 126, 174, 135, 183, 114, 162, 134, 182, 129, 177, 107, 155, 127, 175, 138, 186, 125, 173, 110, 158, 100, 148, 108, 156, 124, 172, 105, 153, 123, 171, 112, 160, 122, 170, 104, 152)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 128)(12, 130)(13, 114)(14, 132)(15, 101)(16, 131)(17, 118)(18, 102)(19, 105)(20, 111)(21, 103)(22, 141)(23, 108)(24, 104)(25, 110)(26, 137)(27, 142)(28, 139)(29, 106)(30, 143)(31, 144)(32, 136)(33, 113)(34, 134)(35, 138)(36, 135)(37, 140)(38, 117)(39, 120)(40, 115)(41, 125)(42, 116)(43, 129)(44, 123)(45, 124)(46, 127)(47, 122)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E18.815
Graph:: bipartite
	v = 10 e = 96 f = 52
	degree seq :: [ 12^8, 48^2 ]

E18.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-2, Y1^12, (Y3^-1 * Y1^-1)^6, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 30, 78, 42, 90, 48, 96, 47, 95, 40, 88, 27, 75, 12, 60, 4, 52)(3, 51, 9, 57, 17, 65, 32, 80, 43, 91, 41, 89, 45, 93, 39, 87, 28, 76, 13, 61, 21, 69, 8, 56)(5, 53, 11, 59, 18, 66, 7, 55, 19, 67, 31, 79, 44, 92, 37, 85, 46, 94, 38, 86, 25, 73, 14, 62)(10, 58, 24, 72, 15, 63, 29, 77, 33, 81, 26, 74, 34, 82, 20, 68, 35, 83, 22, 70, 36, 84, 23, 71)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 107)(5, 97)(6, 113)(7, 116)(8, 98)(9, 112)(10, 121)(11, 122)(12, 117)(13, 100)(14, 125)(15, 101)(16, 127)(17, 111)(18, 102)(19, 126)(20, 109)(21, 132)(22, 104)(23, 105)(24, 128)(25, 108)(26, 135)(27, 110)(28, 131)(29, 137)(30, 139)(31, 118)(32, 138)(33, 114)(34, 115)(35, 140)(36, 142)(37, 119)(38, 120)(39, 123)(40, 124)(41, 143)(42, 133)(43, 129)(44, 144)(45, 130)(46, 136)(47, 134)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.814
Graph:: simple bipartite
	v = 52 e = 96 f = 10
	degree seq :: [ 2^48, 24^4 ]

E18.816 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 * T1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 48, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 47, 40, 32, 24, 16, 8, 2, 7, 15, 23, 31, 39, 44, 36, 28, 20, 12, 5)(49, 50, 54, 52)(51, 55, 61, 58)(53, 56, 62, 59)(57, 63, 69, 66)(60, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 92, 95, 96)
	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) :: { ( 96^4 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E18.820
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 48 f = 1
	degree seq :: [ 4^12, 48 ]

E18.817 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 * T1^-1, (T1^-1 * T2^-1)^48 ]
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, 13, 21, 29, 37, 45, 48, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 44, 36, 28, 20, 12, 5)(49, 50, 54, 52)(51, 55, 61, 58)(53, 56, 62, 59)(57, 63, 69, 66)(60, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 96, 92)
	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) :: { ( 96^4 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E18.819
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 48 f = 1
	degree seq :: [ 4^12, 48 ]

E18.818 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^4 * T2^4, T2^9 * T1^-3, T1^-7 * T2^5, T2^22 * T1^-2, T1^-1 * T2^35 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 47, 38, 26, 25, 13, 5)(49, 50, 54, 62, 74, 85, 93, 89, 84, 69, 58, 51, 55, 63, 75, 73, 80, 88, 96, 92, 83, 68, 57, 65, 77, 72, 61, 66, 78, 87, 95, 91, 82, 67, 79, 71, 60, 53, 56, 64, 76, 86, 94, 90, 81, 70, 59, 52)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8^48 ) }
Outer automorphisms :: reflexible
Dual of E18.821
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 48 f = 12
	degree seq :: [ 48^2 ]

E18.819 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 * T1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 48, 96, 46, 94, 38, 86, 30, 78, 22, 70, 14, 62, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 47, 95, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56, 2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 52)(7, 61)(8, 62)(9, 63)(10, 51)(11, 53)(12, 64)(13, 58)(14, 59)(15, 69)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 66)(22, 67)(23, 77)(24, 78)(25, 79)(26, 65)(27, 68)(28, 80)(29, 74)(30, 75)(31, 85)(32, 86)(33, 87)(34, 73)(35, 76)(36, 88)(37, 82)(38, 83)(39, 93)(40, 94)(41, 92)(42, 81)(43, 84)(44, 95)(45, 90)(46, 91)(47, 96)(48, 89)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.817
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 13
	degree seq :: [ 96 ]

E18.820 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^12 * T1^-1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56, 2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 47, 95, 46, 94, 38, 86, 30, 78, 22, 70, 14, 62, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 48, 96, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 52)(7, 61)(8, 62)(9, 63)(10, 51)(11, 53)(12, 64)(13, 58)(14, 59)(15, 69)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 66)(22, 67)(23, 77)(24, 78)(25, 79)(26, 65)(27, 68)(28, 80)(29, 74)(30, 75)(31, 85)(32, 86)(33, 87)(34, 73)(35, 76)(36, 88)(37, 82)(38, 83)(39, 93)(40, 94)(41, 95)(42, 81)(43, 84)(44, 89)(45, 90)(46, 91)(47, 96)(48, 92)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E18.816
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 13
	degree seq :: [ 96 ]

E18.821 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^12 * T2, T1^4 * T2^-2 * T1^-5 * T2^-2 * T1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 5, 53)(2, 50, 7, 55, 16, 64, 8, 56)(4, 52, 10, 58, 17, 65, 12, 60)(6, 54, 14, 62, 24, 72, 15, 63)(11, 59, 18, 66, 25, 73, 20, 68)(13, 61, 22, 70, 32, 80, 23, 71)(19, 67, 26, 74, 33, 81, 28, 76)(21, 69, 30, 78, 40, 88, 31, 79)(27, 75, 34, 82, 41, 89, 36, 84)(29, 77, 38, 86, 46, 94, 39, 87)(35, 83, 42, 90, 47, 95, 44, 92)(37, 85, 43, 91, 48, 96, 45, 93)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 61)(7, 62)(8, 63)(9, 64)(10, 51)(11, 52)(12, 53)(13, 69)(14, 70)(15, 71)(16, 72)(17, 57)(18, 58)(19, 59)(20, 60)(21, 77)(22, 78)(23, 79)(24, 80)(25, 65)(26, 66)(27, 67)(28, 68)(29, 85)(30, 86)(31, 87)(32, 88)(33, 73)(34, 74)(35, 75)(36, 76)(37, 92)(38, 91)(39, 93)(40, 94)(41, 81)(42, 82)(43, 83)(44, 84)(45, 95)(46, 96)(47, 89)(48, 90)
	local type(s) :: { ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E18.818
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 2
	degree seq :: [ 8^12 ]

E18.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^4, Y3^4, Y1^2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3 * Y2^12, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 7, 55, 13, 61, 10, 58)(5, 53, 8, 56, 14, 62, 11, 59)(9, 57, 15, 63, 21, 69, 18, 66)(12, 60, 16, 64, 22, 70, 19, 67)(17, 65, 23, 71, 29, 77, 26, 74)(20, 68, 24, 72, 30, 78, 27, 75)(25, 73, 31, 79, 37, 85, 34, 82)(28, 76, 32, 80, 38, 86, 35, 83)(33, 81, 39, 87, 45, 93, 42, 90)(36, 84, 40, 88, 46, 94, 43, 91)(41, 89, 47, 95, 48, 96, 44, 92)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152, 98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 143, 191, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 144, 192, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155, 100, 148, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 102)(5, 107)(6, 98)(7, 99)(8, 101)(9, 114)(10, 109)(11, 110)(12, 115)(13, 103)(14, 104)(15, 105)(16, 108)(17, 122)(18, 117)(19, 118)(20, 123)(21, 111)(22, 112)(23, 113)(24, 116)(25, 130)(26, 125)(27, 126)(28, 131)(29, 119)(30, 120)(31, 121)(32, 124)(33, 138)(34, 133)(35, 134)(36, 139)(37, 127)(38, 128)(39, 129)(40, 132)(41, 140)(42, 141)(43, 142)(44, 144)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E18.826
Graph:: bipartite
	v = 13 e = 96 f = 49
	degree seq :: [ 8^12, 96 ]

E18.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y1^4, Y3^-1 * Y2^12, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 7, 55, 13, 61, 10, 58)(5, 53, 8, 56, 14, 62, 11, 59)(9, 57, 15, 63, 21, 69, 18, 66)(12, 60, 16, 64, 22, 70, 19, 67)(17, 65, 23, 71, 29, 77, 26, 74)(20, 68, 24, 72, 30, 78, 27, 75)(25, 73, 31, 79, 37, 85, 34, 82)(28, 76, 32, 80, 38, 86, 35, 83)(33, 81, 39, 87, 45, 93, 42, 90)(36, 84, 40, 88, 46, 94, 43, 91)(41, 89, 44, 92, 47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155, 100, 148, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 144, 192, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 143, 191, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152, 98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 102)(5, 107)(6, 98)(7, 99)(8, 101)(9, 114)(10, 109)(11, 110)(12, 115)(13, 103)(14, 104)(15, 105)(16, 108)(17, 122)(18, 117)(19, 118)(20, 123)(21, 111)(22, 112)(23, 113)(24, 116)(25, 130)(26, 125)(27, 126)(28, 131)(29, 119)(30, 120)(31, 121)(32, 124)(33, 138)(34, 133)(35, 134)(36, 139)(37, 127)(38, 128)(39, 129)(40, 132)(41, 144)(42, 141)(43, 142)(44, 137)(45, 135)(46, 136)(47, 140)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 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 E18.827
Graph:: bipartite
	v = 13 e = 96 f = 49
	degree seq :: [ 8^12, 96 ]

E18.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^-4 * Y1^-4, (Y3^-1 * Y1^-1)^4, Y1^9 * Y2^-3, Y2^7 * Y1^-5, Y1^22 * Y2^-2, Y2 * Y1^-35 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 37, 85, 45, 93, 43, 91, 34, 82, 19, 67, 31, 79, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 38, 86, 46, 94, 44, 92, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 24, 72, 13, 61, 18, 66, 30, 78, 39, 87, 47, 95, 41, 89, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 25, 73, 32, 80, 40, 88, 48, 96, 42, 90, 33, 81, 22, 70, 11, 59, 4, 52)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 137, 185, 142, 190, 133, 181, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 118, 166, 132, 180, 140, 188, 141, 189, 136, 184, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 119, 167, 107, 155, 117, 165, 131, 179, 139, 187, 144, 192, 135, 183, 124, 172, 110, 158, 123, 171, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 138, 186, 143, 191, 134, 182, 122, 170, 121, 169, 109, 157, 101, 149)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 121)(27, 120)(28, 110)(29, 119)(30, 112)(31, 118)(32, 114)(33, 137)(34, 138)(35, 139)(36, 140)(37, 128)(38, 122)(39, 124)(40, 126)(41, 142)(42, 143)(43, 144)(44, 141)(45, 136)(46, 133)(47, 134)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.825
Graph:: bipartite
	v = 2 e = 96 f = 60
	degree seq :: [ 96^2 ]

E18.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4, Y2 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^48 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 100, 148)(99, 147, 103, 151, 109, 157, 106, 154)(101, 149, 104, 152, 110, 158, 107, 155)(105, 153, 111, 159, 117, 165, 114, 162)(108, 156, 112, 160, 118, 166, 115, 163)(113, 161, 119, 167, 125, 173, 122, 170)(116, 164, 120, 168, 126, 174, 123, 171)(121, 169, 127, 175, 133, 181, 130, 178)(124, 172, 128, 176, 134, 182, 131, 179)(129, 177, 135, 183, 141, 189, 138, 186)(132, 180, 136, 184, 142, 190, 139, 187)(137, 185, 140, 188, 143, 191, 144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 109)(7, 111)(8, 98)(9, 113)(10, 114)(11, 100)(12, 101)(13, 117)(14, 102)(15, 119)(16, 104)(17, 121)(18, 122)(19, 107)(20, 108)(21, 125)(22, 110)(23, 127)(24, 112)(25, 129)(26, 130)(27, 115)(28, 116)(29, 133)(30, 118)(31, 135)(32, 120)(33, 137)(34, 138)(35, 123)(36, 124)(37, 141)(38, 126)(39, 140)(40, 128)(41, 139)(42, 144)(43, 131)(44, 132)(45, 143)(46, 134)(47, 136)(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) :: { ( 96, 96 ), ( 96^8 ) }
Outer automorphisms :: reflexible
Dual of E18.824
Graph:: simple bipartite
	v = 60 e = 96 f = 2
	degree seq :: [ 2^48, 8^12 ]

E18.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y1^12, Y1^5 * Y3^-2 * Y1^-5 * Y3^-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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * 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, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53, 8, 56, 15, 63, 23, 71, 31, 79, 39, 87, 45, 93, 47, 95, 41, 89, 33, 81, 25, 73, 17, 65, 9, 57, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 48, 96, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58, 3, 51, 7, 55, 14, 62, 22, 70, 30, 78, 38, 86, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 110)(7, 112)(8, 98)(9, 101)(10, 113)(11, 114)(12, 100)(13, 118)(14, 120)(15, 102)(16, 104)(17, 108)(18, 121)(19, 122)(20, 107)(21, 126)(22, 128)(23, 109)(24, 111)(25, 116)(26, 129)(27, 130)(28, 115)(29, 134)(30, 136)(31, 117)(32, 119)(33, 124)(34, 137)(35, 138)(36, 123)(37, 139)(38, 142)(39, 125)(40, 127)(41, 132)(42, 143)(43, 144)(44, 131)(45, 133)(46, 135)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 96 ), ( 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96 ) }
Outer automorphisms :: reflexible
Dual of E18.822
Graph:: bipartite
	v = 49 e = 96 f = 13
	degree seq :: [ 2^48, 96 ]

E18.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^-1 * Y1^12, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58, 3, 51, 7, 55, 14, 62, 22, 70, 30, 78, 38, 86, 45, 93, 47, 95, 41, 89, 33, 81, 25, 73, 17, 65, 9, 57, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53, 8, 56, 15, 63, 23, 71, 31, 79, 39, 87, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 110)(7, 112)(8, 98)(9, 101)(10, 113)(11, 114)(12, 100)(13, 118)(14, 120)(15, 102)(16, 104)(17, 108)(18, 121)(19, 122)(20, 107)(21, 126)(22, 128)(23, 109)(24, 111)(25, 116)(26, 129)(27, 130)(28, 115)(29, 134)(30, 136)(31, 117)(32, 119)(33, 124)(34, 137)(35, 138)(36, 123)(37, 141)(38, 142)(39, 125)(40, 127)(41, 132)(42, 143)(43, 133)(44, 131)(45, 144)(46, 135)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 96 ), ( 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96, 8, 96 ) }
Outer automorphisms :: reflexible
Dual of E18.823
Graph:: bipartite
	v = 49 e = 96 f = 13
	degree seq :: [ 2^48, 96 ]

E18.828 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 13, 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, T1^4, (T2^-1, T1^-1), T2^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 48, 40, 32, 24, 16, 8)(4, 10, 18, 26, 34, 42, 49, 50, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 51, 52, 46, 38, 30, 22, 14)(53, 54, 58, 56)(55, 59, 65, 62)(57, 60, 66, 63)(61, 67, 73, 70)(64, 68, 74, 71)(69, 75, 81, 78)(72, 76, 82, 79)(77, 83, 89, 86)(80, 84, 90, 87)(85, 91, 97, 94)(88, 92, 98, 95)(93, 99, 103, 101)(96, 100, 104, 102)
	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) :: { ( 104^4 ), ( 104^13 ) }
Outer automorphisms :: reflexible
Dual of E18.832
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 52 f = 1
	degree seq :: [ 4^13, 13^4 ]

E18.829 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 13, 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, T1^4 * T2^4, T1 * T2^-12, T1^13 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 47, 38, 26, 25, 13, 5)(53, 54, 58, 66, 78, 89, 97, 103, 94, 85, 74, 63, 56)(55, 59, 67, 79, 77, 84, 92, 100, 102, 93, 88, 73, 62)(57, 60, 68, 80, 90, 98, 104, 95, 86, 71, 83, 75, 64)(61, 69, 81, 76, 65, 70, 82, 91, 99, 101, 96, 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) :: { ( 8^13 ), ( 8^52 ) }
Outer automorphisms :: reflexible
Dual of E18.833
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 52 f = 13
	degree seq :: [ 13^4, 52 ]

E18.830 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 13, 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, T2^4, (T1, T2^-1), T1^-13 * T2^-1, (T1^-1 * T2^-1)^13 ]
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, 52, 47)(43, 50, 51, 45)(53, 54, 58, 65, 73, 81, 89, 97, 96, 88, 80, 72, 64, 57, 60, 67, 75, 83, 91, 99, 103, 101, 93, 85, 77, 69, 61, 68, 76, 84, 92, 100, 104, 102, 94, 86, 78, 70, 62, 55, 59, 66, 74, 82, 90, 98, 95, 87, 79, 71, 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) :: { ( 26^4 ), ( 26^52 ) }
Outer automorphisms :: reflexible
Dual of E18.831
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 52 f = 4
	degree seq :: [ 4^13, 52 ]

E18.831 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 13, 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, T1^4, (T2^-1, T1^-1), T2^13 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 17, 69, 25, 77, 33, 85, 41, 93, 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)(4, 56, 10, 62, 18, 70, 26, 78, 34, 86, 42, 94, 49, 101, 50, 102, 43, 95, 35, 87, 27, 79, 19, 71, 11, 63)(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)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 56)(7, 65)(8, 66)(9, 67)(10, 55)(11, 57)(12, 68)(13, 62)(14, 63)(15, 73)(16, 74)(17, 75)(18, 61)(19, 64)(20, 76)(21, 70)(22, 71)(23, 81)(24, 82)(25, 83)(26, 69)(27, 72)(28, 84)(29, 78)(30, 79)(31, 89)(32, 90)(33, 91)(34, 77)(35, 80)(36, 92)(37, 86)(38, 87)(39, 97)(40, 98)(41, 99)(42, 85)(43, 88)(44, 100)(45, 94)(46, 95)(47, 103)(48, 104)(49, 93)(50, 96)(51, 101)(52, 102)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.830
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 52 f = 14
	degree seq :: [ 26^4 ]

E18.832 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 13, 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, T1^4 * T2^4, T1 * T2^-12, T1^13 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 19, 71, 33, 85, 41, 93, 49, 101, 46, 98, 37, 89, 32, 84, 18, 70, 8, 60, 2, 54, 7, 59, 17, 69, 31, 83, 22, 74, 36, 88, 44, 96, 52, 104, 45, 97, 40, 92, 30, 82, 16, 68, 6, 58, 15, 67, 29, 81, 23, 75, 11, 63, 21, 73, 35, 87, 43, 95, 51, 103, 48, 100, 39, 91, 28, 80, 14, 66, 27, 79, 24, 76, 12, 64, 4, 56, 10, 62, 20, 72, 34, 86, 42, 94, 50, 102, 47, 99, 38, 90, 26, 78, 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, 77)(28, 90)(29, 76)(30, 91)(31, 75)(32, 92)(33, 74)(34, 71)(35, 72)(36, 73)(37, 97)(38, 98)(39, 99)(40, 100)(41, 88)(42, 85)(43, 86)(44, 87)(45, 103)(46, 104)(47, 101)(48, 102)(49, 96)(50, 93)(51, 94)(52, 95)
	local type(s) :: { ( 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13, 4, 13 ) }
Outer automorphisms :: reflexible
Dual of E18.828
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 52 f = 17
	degree seq :: [ 104 ]

E18.833 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 13, 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, T2^4, (T1, T2^-1), T1^-13 * T2^-1, (T1^-1 * T2^-1)^13 ]
Map:: non-degenerate
	R = (1, 53, 3, 55, 9, 61, 5, 57)(2, 54, 7, 59, 16, 68, 8, 60)(4, 56, 10, 62, 17, 69, 12, 64)(6, 58, 14, 66, 24, 76, 15, 67)(11, 63, 18, 70, 25, 77, 20, 72)(13, 65, 22, 74, 32, 84, 23, 75)(19, 71, 26, 78, 33, 85, 28, 80)(21, 73, 30, 82, 40, 92, 31, 83)(27, 79, 34, 86, 41, 93, 36, 88)(29, 81, 38, 90, 48, 100, 39, 91)(35, 87, 42, 94, 49, 101, 44, 96)(37, 89, 46, 98, 52, 104, 47, 99)(43, 95, 50, 102, 51, 103, 45, 97)
	L = (1, 54)(2, 58)(3, 59)(4, 53)(5, 60)(6, 65)(7, 66)(8, 67)(9, 68)(10, 55)(11, 56)(12, 57)(13, 73)(14, 74)(15, 75)(16, 76)(17, 61)(18, 62)(19, 63)(20, 64)(21, 81)(22, 82)(23, 83)(24, 84)(25, 69)(26, 70)(27, 71)(28, 72)(29, 89)(30, 90)(31, 91)(32, 92)(33, 77)(34, 78)(35, 79)(36, 80)(37, 97)(38, 98)(39, 99)(40, 100)(41, 85)(42, 86)(43, 87)(44, 88)(45, 96)(46, 95)(47, 103)(48, 104)(49, 93)(50, 94)(51, 101)(52, 102)
	local type(s) :: { ( 13, 52, 13, 52, 13, 52, 13, 52 ) }
Outer automorphisms :: reflexible
Dual of E18.829
Transitivity :: ET+ VT+ AT
Graph::
	v = 13 e = 52 f = 5
	degree seq :: [ 8^13 ]

E18.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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, Y1^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^13, Y3^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 4, 56)(3, 55, 7, 59, 13, 65, 10, 62)(5, 57, 8, 60, 14, 66, 11, 63)(9, 61, 15, 67, 21, 73, 18, 70)(12, 64, 16, 68, 22, 74, 19, 71)(17, 69, 23, 75, 29, 81, 26, 78)(20, 72, 24, 76, 30, 82, 27, 79)(25, 77, 31, 83, 37, 89, 34, 86)(28, 80, 32, 84, 38, 90, 35, 87)(33, 85, 39, 91, 45, 97, 42, 94)(36, 88, 40, 92, 46, 98, 43, 95)(41, 93, 47, 99, 51, 103, 49, 101)(44, 96, 48, 100, 52, 104, 50, 102)(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, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 151, 203, 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)(110, 162, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 155, 207, 156, 208, 150, 202, 142, 194, 134, 186, 126, 178, 118, 170)
	L = (1, 108)(2, 105)(3, 114)(4, 110)(5, 115)(6, 106)(7, 107)(8, 109)(9, 122)(10, 117)(11, 118)(12, 123)(13, 111)(14, 112)(15, 113)(16, 116)(17, 130)(18, 125)(19, 126)(20, 131)(21, 119)(22, 120)(23, 121)(24, 124)(25, 138)(26, 133)(27, 134)(28, 139)(29, 127)(30, 128)(31, 129)(32, 132)(33, 146)(34, 141)(35, 142)(36, 147)(37, 135)(38, 136)(39, 137)(40, 140)(41, 153)(42, 149)(43, 150)(44, 154)(45, 143)(46, 144)(47, 145)(48, 148)(49, 155)(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) :: { ( 2, 104, 2, 104, 2, 104, 2, 104 ), ( 2, 104, 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 E18.837
Graph:: bipartite
	v = 17 e = 104 f = 53
	degree seq :: [ 8^13, 26^4 ]

E18.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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^-1), Y2^4 * Y1^4, (Y3^-1 * Y1^-1)^4, Y1^-1 * Y2^12, Y1^5 * Y2^-1 * Y1^4 * Y2^-3, Y1^13 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 51, 103, 42, 94, 33, 85, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 25, 77, 32, 84, 40, 92, 48, 100, 50, 102, 41, 93, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 38, 90, 46, 98, 52, 104, 43, 95, 34, 86, 19, 71, 31, 83, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 24, 76, 13, 65, 18, 70, 30, 82, 39, 91, 47, 99, 49, 101, 44, 96, 35, 87, 20, 72)(105, 157, 107, 159, 113, 165, 123, 175, 137, 189, 145, 197, 153, 205, 150, 202, 141, 193, 136, 188, 122, 174, 112, 164, 106, 158, 111, 163, 121, 173, 135, 187, 126, 178, 140, 192, 148, 200, 156, 208, 149, 201, 144, 196, 134, 186, 120, 172, 110, 162, 119, 171, 133, 185, 127, 179, 115, 167, 125, 177, 139, 191, 147, 199, 155, 207, 152, 204, 143, 195, 132, 184, 118, 170, 131, 183, 128, 180, 116, 168, 108, 160, 114, 166, 124, 176, 138, 190, 146, 198, 154, 206, 151, 203, 142, 194, 130, 182, 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, 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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.836
Graph:: bipartite
	v = 5 e = 104 f = 65
	degree seq :: [ 26^4, 104 ]

E18.836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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 * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^4, Y2^-1 * 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)^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, 108, 160)(107, 159, 111, 163, 117, 169, 114, 166)(109, 161, 112, 164, 118, 170, 115, 167)(113, 165, 119, 171, 125, 177, 122, 174)(116, 168, 120, 172, 126, 178, 123, 175)(121, 173, 127, 179, 133, 185, 130, 182)(124, 176, 128, 180, 134, 186, 131, 183)(129, 181, 135, 187, 141, 193, 138, 190)(132, 184, 136, 188, 142, 194, 139, 191)(137, 189, 143, 195, 149, 201, 146, 198)(140, 192, 144, 196, 150, 202, 147, 199)(145, 197, 151, 203, 155, 207, 153, 205)(148, 200, 152, 204, 156, 208, 154, 206)
	L = (1, 107)(2, 111)(3, 113)(4, 114)(5, 105)(6, 117)(7, 119)(8, 106)(9, 121)(10, 122)(11, 108)(12, 109)(13, 125)(14, 110)(15, 127)(16, 112)(17, 129)(18, 130)(19, 115)(20, 116)(21, 133)(22, 118)(23, 135)(24, 120)(25, 137)(26, 138)(27, 123)(28, 124)(29, 141)(30, 126)(31, 143)(32, 128)(33, 145)(34, 146)(35, 131)(36, 132)(37, 149)(38, 134)(39, 151)(40, 136)(41, 152)(42, 153)(43, 139)(44, 140)(45, 155)(46, 142)(47, 156)(48, 144)(49, 148)(50, 147)(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) :: { ( 26, 104 ), ( 26, 104, 26, 104, 26, 104, 26, 104 ) }
Outer automorphisms :: reflexible
Dual of E18.835
Graph:: simple bipartite
	v = 65 e = 104 f = 5
	degree seq :: [ 2^52, 8^13 ]

E18.837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-3 * Y3^-1 * Y1^-10, Y1^6 * Y3^-1 * Y1^4 * Y3^-1 * Y1^3 * 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::
	R = (1, 53, 2, 54, 6, 58, 13, 65, 21, 73, 29, 81, 37, 89, 45, 97, 44, 96, 36, 88, 28, 80, 20, 72, 12, 64, 5, 57, 8, 60, 15, 67, 23, 75, 31, 83, 39, 91, 47, 99, 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, 3, 55, 7, 59, 14, 66, 22, 74, 30, 82, 38, 90, 46, 98, 43, 95, 35, 87, 27, 79, 19, 71, 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, 120)(8, 106)(9, 109)(10, 121)(11, 122)(12, 108)(13, 126)(14, 128)(15, 110)(16, 112)(17, 116)(18, 129)(19, 130)(20, 115)(21, 134)(22, 136)(23, 117)(24, 119)(25, 124)(26, 137)(27, 138)(28, 123)(29, 142)(30, 144)(31, 125)(32, 127)(33, 132)(34, 145)(35, 146)(36, 131)(37, 150)(38, 152)(39, 133)(40, 135)(41, 140)(42, 153)(43, 154)(44, 139)(45, 147)(46, 156)(47, 141)(48, 143)(49, 148)(50, 155)(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) :: { ( 8, 26 ), ( 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26, 8, 26 ) }
Outer automorphisms :: reflexible
Dual of E18.834
Graph:: bipartite
	v = 53 e = 104 f = 17
	degree seq :: [ 2^52, 104 ]

E18.838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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, Y3^4, Y1^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3 * Y2^-13, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 4, 56)(3, 55, 7, 59, 13, 65, 10, 62)(5, 57, 8, 60, 14, 66, 11, 63)(9, 61, 15, 67, 21, 73, 18, 70)(12, 64, 16, 68, 22, 74, 19, 71)(17, 69, 23, 75, 29, 81, 26, 78)(20, 72, 24, 76, 30, 82, 27, 79)(25, 77, 31, 83, 37, 89, 34, 86)(28, 80, 32, 84, 38, 90, 35, 87)(33, 85, 39, 91, 45, 97, 42, 94)(36, 88, 40, 92, 46, 98, 43, 95)(41, 93, 47, 99, 51, 103, 50, 102)(44, 96, 48, 100, 52, 104, 49, 101)(105, 157, 107, 159, 113, 165, 121, 173, 129, 181, 137, 189, 145, 197, 153, 205, 147, 199, 139, 191, 131, 183, 123, 175, 115, 167, 108, 160, 114, 166, 122, 174, 130, 182, 138, 190, 146, 198, 154, 206, 156, 208, 150, 202, 142, 194, 134, 186, 126, 178, 118, 170, 110, 162, 117, 169, 125, 177, 133, 185, 141, 193, 149, 201, 155, 207, 152, 204, 144, 196, 136, 188, 128, 180, 120, 172, 112, 164, 106, 158, 111, 163, 119, 171, 127, 179, 135, 187, 143, 195, 151, 203, 148, 200, 140, 192, 132, 184, 124, 176, 116, 168, 109, 161)
	L = (1, 108)(2, 105)(3, 114)(4, 110)(5, 115)(6, 106)(7, 107)(8, 109)(9, 122)(10, 117)(11, 118)(12, 123)(13, 111)(14, 112)(15, 113)(16, 116)(17, 130)(18, 125)(19, 126)(20, 131)(21, 119)(22, 120)(23, 121)(24, 124)(25, 138)(26, 133)(27, 134)(28, 139)(29, 127)(30, 128)(31, 129)(32, 132)(33, 146)(34, 141)(35, 142)(36, 147)(37, 135)(38, 136)(39, 137)(40, 140)(41, 154)(42, 149)(43, 150)(44, 153)(45, 143)(46, 144)(47, 145)(48, 148)(49, 156)(50, 155)(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, 2, 26, 2, 26, 2, 26, 2, 26 ) }
Outer automorphisms :: reflexible
Dual of E18.839
Graph:: bipartite
	v = 14 e = 104 f = 56
	degree seq :: [ 8^13, 104 ]

E18.839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 13, 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), (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-4, Y1^-1 * Y3^12, Y1^5 * Y3^-1 * Y1^4 * Y3^-3, Y1^13, (Y3 * Y2^-1)^52 ]
Map::
	R = (1, 53, 2, 54, 6, 58, 14, 66, 26, 78, 37, 89, 45, 97, 51, 103, 42, 94, 33, 85, 22, 74, 11, 63, 4, 56)(3, 55, 7, 59, 15, 67, 27, 79, 25, 77, 32, 84, 40, 92, 48, 100, 50, 102, 41, 93, 36, 88, 21, 73, 10, 62)(5, 57, 8, 60, 16, 68, 28, 80, 38, 90, 46, 98, 52, 104, 43, 95, 34, 86, 19, 71, 31, 83, 23, 75, 12, 64)(9, 61, 17, 69, 29, 81, 24, 76, 13, 65, 18, 70, 30, 82, 39, 91, 47, 99, 49, 101, 44, 96, 35, 87, 20, 72)(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, 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) :: { ( 8, 104 ), ( 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104, 8, 104 ) }
Outer automorphisms :: reflexible
Dual of E18.838
Graph:: simple bipartite
	v = 56 e = 104 f = 14
	degree seq :: [ 2^52, 26^4 ]

E18.840 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 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^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y1^-2 * Y3 * Y1^2 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 80, 26, 96, 42, 92, 38, 77, 23, 66, 12, 72, 18, 84, 30, 90, 36, 101, 47, 107, 53, 108, 54, 104, 50, 94, 40, 88, 34, 74, 20, 64, 10, 71, 17, 83, 29, 99, 45, 95, 41, 79, 25, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 87, 33, 102, 48, 106, 52, 100, 46, 85, 31, 75, 21, 89, 35, 86, 32, 78, 24, 93, 39, 103, 49, 105, 51, 98, 44, 82, 28, 70, 16, 62, 8, 58, 4, 65, 11, 76, 22, 91, 37, 97, 43, 81, 27, 69, 15, 61, 7, 57)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 36)(29, 46)(32, 34)(37, 42)(39, 50)(41, 48)(44, 47)(45, 52)(49, 54)(51, 53)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 78)(67, 76)(68, 82)(69, 83)(72, 86)(73, 88)(75, 90)(77, 93)(79, 91)(80, 98)(81, 99)(84, 89)(85, 101)(87, 94)(92, 103)(95, 97)(96, 105)(100, 107)(102, 104)(106, 108)
	local type(s) :: { ( 6^54 ) }
Outer automorphisms :: reflexible
Dual of E18.841
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 18
	degree seq :: [ 54^2 ]

E18.841 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 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, Y1^3, (Y2 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * 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 ]
Map:: non-degenerate
	R = (1, 56, 2, 59, 5, 55)(3, 62, 8, 60, 6, 57)(4, 64, 10, 61, 7, 58)(9, 66, 12, 68, 14, 63)(11, 67, 13, 70, 16, 65)(15, 74, 20, 72, 18, 69)(17, 76, 22, 73, 19, 71)(21, 78, 24, 80, 26, 75)(23, 79, 25, 82, 28, 77)(27, 86, 32, 84, 30, 81)(29, 88, 34, 85, 31, 83)(33, 90, 36, 92, 38, 87)(35, 91, 37, 94, 40, 89)(39, 98, 44, 96, 42, 93)(41, 100, 46, 97, 43, 95)(45, 102, 48, 104, 50, 99)(47, 103, 49, 106, 52, 101)(51, 108, 54, 107, 53, 105)
	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, 53)(50, 54)(55, 58)(56, 61)(57, 63)(59, 64)(60, 66)(62, 68)(65, 71)(67, 73)(69, 75)(70, 76)(72, 78)(74, 80)(77, 83)(79, 85)(81, 87)(82, 88)(84, 90)(86, 92)(89, 95)(91, 97)(93, 99)(94, 100)(96, 102)(98, 104)(101, 107)(103, 108)(105, 106)
	local type(s) :: { ( 54^6 ) }
Outer automorphisms :: reflexible
Dual of E18.840
Transitivity :: VT+ AT
Graph:: bipartite
	v = 18 e = 54 f = 2
	degree seq :: [ 6^18 ]

E18.842 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 27})
Quotient :: edge^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 4, 58, 5, 59)(2, 56, 7, 61, 8, 62)(3, 57, 10, 64, 11, 65)(6, 60, 13, 67, 14, 68)(9, 63, 16, 70, 17, 71)(12, 66, 19, 73, 20, 74)(15, 69, 22, 76, 23, 77)(18, 72, 25, 79, 26, 80)(21, 75, 28, 82, 29, 83)(24, 78, 31, 85, 32, 86)(27, 81, 34, 88, 35, 89)(30, 84, 37, 91, 38, 92)(33, 87, 40, 94, 41, 95)(36, 90, 43, 97, 44, 98)(39, 93, 46, 100, 47, 101)(42, 96, 49, 103, 50, 104)(45, 99, 52, 106, 53, 107)(48, 102, 54, 108, 51, 105)(109, 110)(111, 117)(112, 116)(113, 115)(114, 120)(118, 125)(119, 124)(121, 128)(122, 127)(123, 129)(126, 132)(130, 137)(131, 136)(133, 140)(134, 139)(135, 141)(138, 144)(142, 149)(143, 148)(145, 152)(146, 151)(147, 153)(150, 156)(154, 161)(155, 160)(157, 159)(158, 162)(163, 165)(164, 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, 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) :: { ( 108, 108 ), ( 108^6 ) }
Outer automorphisms :: reflexible
Dual of E18.845
Graph:: simple bipartite
	v = 72 e = 108 f = 2
	degree seq :: [ 2^54, 6^18 ]

E18.843 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 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^-1 * Y1)^2, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y3^-6 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 24, 78, 40, 94, 44, 98, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 33, 87, 47, 101, 53, 107, 51, 105, 42, 96, 26, 80, 37, 91, 21, 75, 9, 63, 20, 74, 36, 90, 49, 103, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 45, 99, 39, 93, 23, 77, 11, 65, 3, 57, 10, 64, 22, 76, 38, 92, 50, 104, 54, 108, 48, 102, 35, 89, 19, 73, 34, 88, 28, 82, 14, 68, 27, 81, 43, 97, 52, 106, 46, 100, 32, 86, 18, 72, 8, 62)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 129)(119, 128)(120, 126)(121, 125)(123, 136)(124, 135)(127, 141)(130, 145)(131, 144)(132, 140)(133, 139)(134, 146)(137, 142)(138, 151)(143, 155)(147, 157)(148, 154)(149, 153)(150, 158)(152, 160)(156, 161)(159, 162)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 181)(174, 185)(175, 184)(176, 188)(179, 192)(180, 191)(182, 197)(183, 196)(186, 201)(187, 200)(189, 204)(190, 199)(193, 206)(194, 195)(198, 210)(202, 207)(203, 212)(205, 213)(208, 209)(211, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 12 ), ( 12^54 ) }
Outer automorphisms :: reflexible
Dual of E18.844
Graph:: simple bipartite
	v = 56 e = 108 f = 18
	degree seq :: [ 2^54, 54^2 ]

E18.844 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 27})
Quotient :: loop^2
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 11, 65, 119, 173)(6, 60, 114, 168, 13, 67, 121, 175, 14, 68, 122, 176)(9, 63, 117, 171, 16, 70, 124, 178, 17, 71, 125, 179)(12, 66, 120, 174, 19, 73, 127, 181, 20, 74, 128, 182)(15, 69, 123, 177, 22, 76, 130, 184, 23, 77, 131, 185)(18, 72, 126, 180, 25, 79, 133, 187, 26, 80, 134, 188)(21, 75, 129, 183, 28, 82, 136, 190, 29, 83, 137, 191)(24, 78, 132, 186, 31, 85, 139, 193, 32, 86, 140, 194)(27, 81, 135, 189, 34, 88, 142, 196, 35, 89, 143, 197)(30, 84, 138, 192, 37, 91, 145, 199, 38, 92, 146, 200)(33, 87, 141, 195, 40, 94, 148, 202, 41, 95, 149, 203)(36, 90, 144, 198, 43, 97, 151, 205, 44, 98, 152, 206)(39, 93, 147, 201, 46, 100, 154, 208, 47, 101, 155, 209)(42, 96, 150, 204, 49, 103, 157, 211, 50, 104, 158, 212)(45, 99, 153, 207, 52, 106, 160, 214, 53, 107, 161, 215)(48, 102, 156, 210, 54, 108, 162, 216, 51, 105, 159, 213)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 66)(7, 59)(8, 58)(9, 57)(10, 71)(11, 70)(12, 60)(13, 74)(14, 73)(15, 75)(16, 65)(17, 64)(18, 78)(19, 68)(20, 67)(21, 69)(22, 83)(23, 82)(24, 72)(25, 86)(26, 85)(27, 87)(28, 77)(29, 76)(30, 90)(31, 80)(32, 79)(33, 81)(34, 95)(35, 94)(36, 84)(37, 98)(38, 97)(39, 99)(40, 89)(41, 88)(42, 102)(43, 92)(44, 91)(45, 93)(46, 107)(47, 106)(48, 96)(49, 105)(50, 108)(51, 103)(52, 101)(53, 100)(54, 104)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 176)(116, 175)(117, 177)(118, 167)(119, 166)(120, 180)(121, 170)(122, 169)(123, 171)(124, 185)(125, 184)(126, 174)(127, 188)(128, 187)(129, 189)(130, 179)(131, 178)(132, 192)(133, 182)(134, 181)(135, 183)(136, 197)(137, 196)(138, 186)(139, 200)(140, 199)(141, 201)(142, 191)(143, 190)(144, 204)(145, 194)(146, 193)(147, 195)(148, 209)(149, 208)(150, 198)(151, 212)(152, 211)(153, 213)(154, 203)(155, 202)(156, 215)(157, 206)(158, 205)(159, 207)(160, 216)(161, 210)(162, 214)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E18.843
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 108 f = 56
	degree seq :: [ 12^18 ]

E18.845 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 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^-1 * Y1)^2, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^3, Y3^-6 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 24, 78, 132, 186, 40, 94, 148, 202, 44, 98, 152, 206, 30, 84, 138, 192, 16, 70, 124, 178, 6, 60, 114, 168, 15, 69, 123, 177, 29, 83, 137, 191, 33, 87, 141, 195, 47, 101, 155, 209, 53, 107, 161, 215, 51, 105, 159, 213, 42, 96, 150, 204, 26, 80, 134, 188, 37, 91, 145, 199, 21, 75, 129, 183, 9, 63, 117, 171, 20, 74, 128, 182, 36, 90, 144, 198, 49, 103, 157, 211, 41, 95, 149, 203, 25, 79, 133, 187, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 31, 85, 139, 193, 45, 99, 153, 207, 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, 50, 104, 158, 212, 54, 108, 162, 216, 48, 102, 156, 210, 35, 89, 143, 197, 19, 73, 127, 181, 34, 88, 142, 196, 28, 82, 136, 190, 14, 68, 122, 176, 27, 81, 135, 189, 43, 97, 151, 205, 52, 106, 160, 214, 46, 100, 154, 208, 32, 86, 140, 194, 18, 72, 126, 180, 8, 62, 116, 170)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 75)(11, 74)(12, 72)(13, 71)(14, 60)(15, 82)(16, 81)(17, 67)(18, 66)(19, 87)(20, 65)(21, 64)(22, 91)(23, 90)(24, 86)(25, 85)(26, 92)(27, 70)(28, 69)(29, 88)(30, 97)(31, 79)(32, 78)(33, 73)(34, 83)(35, 101)(36, 77)(37, 76)(38, 80)(39, 103)(40, 100)(41, 99)(42, 104)(43, 84)(44, 106)(45, 95)(46, 94)(47, 89)(48, 107)(49, 93)(50, 96)(51, 108)(52, 98)(53, 102)(54, 105)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 181)(118, 167)(119, 166)(120, 185)(121, 184)(122, 188)(123, 170)(124, 169)(125, 192)(126, 191)(127, 171)(128, 197)(129, 196)(130, 175)(131, 174)(132, 201)(133, 200)(134, 176)(135, 204)(136, 199)(137, 180)(138, 179)(139, 206)(140, 195)(141, 194)(142, 183)(143, 182)(144, 210)(145, 190)(146, 187)(147, 186)(148, 207)(149, 212)(150, 189)(151, 213)(152, 193)(153, 202)(154, 209)(155, 208)(156, 198)(157, 216)(158, 203)(159, 205)(160, 215)(161, 214)(162, 211)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.842
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 108 f = 72
	degree seq :: [ 108^2 ]

E18.846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^9 * Y2^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
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, 21, 75)(12, 66, 20, 74)(13, 67, 22, 76)(14, 68, 18, 72)(15, 69, 17, 71)(16, 70, 19, 73)(23, 77, 33, 87)(24, 78, 32, 86)(25, 79, 34, 88)(26, 80, 30, 84)(27, 81, 29, 83)(28, 82, 31, 85)(35, 89, 45, 99)(36, 90, 44, 98)(37, 91, 46, 100)(38, 92, 42, 96)(39, 93, 41, 95)(40, 94, 43, 97)(47, 101, 54, 108)(48, 102, 53, 107)(49, 103, 52, 106)(50, 104, 51, 105)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 135, 189)(127, 181, 137, 191, 140, 194)(130, 184, 138, 192, 141, 195)(133, 187, 143, 197, 146, 200)(136, 190, 144, 198, 147, 201)(139, 193, 149, 203, 152, 206)(142, 196, 150, 204, 153, 207)(145, 199, 155, 209, 157, 211)(148, 202, 156, 210, 158, 212)(151, 205, 159, 213, 161, 215)(154, 208, 160, 214, 162, 216)
	L = (1, 112)(2, 116)(3, 119)(4, 121)(5, 122)(6, 109)(7, 125)(8, 127)(9, 128)(10, 110)(11, 131)(12, 111)(13, 133)(14, 134)(15, 113)(16, 114)(17, 137)(18, 115)(19, 139)(20, 140)(21, 117)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 123)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 129)(34, 130)(35, 155)(36, 132)(37, 156)(38, 157)(39, 135)(40, 136)(41, 159)(42, 138)(43, 160)(44, 161)(45, 141)(46, 142)(47, 158)(48, 144)(49, 148)(50, 147)(51, 162)(52, 150)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.848
Graph:: simple bipartite
	v = 45 e = 108 f = 29
	degree seq :: [ 4^27, 6^18 ]

E18.847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^-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 * Y3^2 ]
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, 21, 75)(12, 66, 20, 74)(13, 67, 22, 76)(14, 68, 18, 72)(15, 69, 17, 71)(16, 70, 19, 73)(23, 77, 33, 87)(24, 78, 32, 86)(25, 79, 34, 88)(26, 80, 30, 84)(27, 81, 29, 83)(28, 82, 31, 85)(35, 89, 45, 99)(36, 90, 44, 98)(37, 91, 46, 100)(38, 92, 42, 96)(39, 93, 41, 95)(40, 94, 43, 97)(47, 101, 53, 107)(48, 102, 54, 108)(49, 103, 51, 105)(50, 104, 52, 106)(109, 163, 111, 165, 113, 167)(110, 164, 115, 169, 117, 171)(112, 166, 119, 173, 122, 176)(114, 168, 120, 174, 123, 177)(116, 170, 125, 179, 128, 182)(118, 172, 126, 180, 129, 183)(121, 175, 131, 185, 134, 188)(124, 178, 132, 186, 135, 189)(127, 181, 137, 191, 140, 194)(130, 184, 138, 192, 141, 195)(133, 187, 143, 197, 146, 200)(136, 190, 144, 198, 147, 201)(139, 193, 149, 203, 152, 206)(142, 196, 150, 204, 153, 207)(145, 199, 155, 209, 158, 212)(148, 202, 156, 210, 157, 211)(151, 205, 159, 213, 162, 216)(154, 208, 160, 214, 161, 215)
	L = (1, 112)(2, 116)(3, 119)(4, 121)(5, 122)(6, 109)(7, 125)(8, 127)(9, 128)(10, 110)(11, 131)(12, 111)(13, 133)(14, 134)(15, 113)(16, 114)(17, 137)(18, 115)(19, 139)(20, 140)(21, 117)(22, 118)(23, 143)(24, 120)(25, 145)(26, 146)(27, 123)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 129)(34, 130)(35, 155)(36, 132)(37, 157)(38, 158)(39, 135)(40, 136)(41, 159)(42, 138)(43, 161)(44, 162)(45, 141)(46, 142)(47, 148)(48, 144)(49, 147)(50, 156)(51, 154)(52, 150)(53, 153)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.849
Graph:: simple bipartite
	v = 45 e = 108 f = 29
	degree seq :: [ 4^27, 6^18 ]

E18.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3, Y1), (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y1^5 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^7 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 19, 73, 35, 89, 48, 102, 33, 87, 14, 68, 25, 79, 17, 71, 6, 60, 10, 64, 22, 76, 37, 91, 46, 100, 34, 88, 15, 69, 4, 58, 9, 63, 21, 75, 18, 72, 26, 80, 40, 94, 47, 101, 32, 86, 16, 70, 5, 59)(3, 57, 11, 65, 27, 81, 43, 97, 52, 106, 51, 105, 41, 95, 30, 84, 39, 93, 24, 78, 13, 67, 29, 83, 44, 98, 53, 107, 50, 104, 38, 92, 23, 77, 12, 66, 28, 82, 42, 96, 31, 85, 45, 99, 54, 108, 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, 139, 193)(123, 177, 137, 191)(124, 178, 135, 189)(125, 179, 136, 190)(126, 180, 138, 192)(127, 181, 144, 198)(129, 183, 147, 201)(130, 184, 146, 200)(133, 187, 150, 204)(134, 188, 149, 203)(140, 194, 151, 205)(141, 195, 153, 207)(142, 196, 152, 206)(143, 197, 157, 211)(145, 199, 158, 212)(148, 202, 159, 213)(154, 208, 161, 215)(155, 209, 160, 214)(156, 210, 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, 142)(17, 113)(18, 114)(19, 126)(20, 146)(21, 125)(22, 115)(23, 149)(24, 116)(25, 124)(26, 118)(27, 150)(28, 147)(29, 119)(30, 144)(31, 121)(32, 154)(33, 155)(34, 156)(35, 134)(36, 158)(37, 127)(38, 159)(39, 128)(40, 130)(41, 157)(42, 132)(43, 139)(44, 135)(45, 137)(46, 143)(47, 145)(48, 148)(49, 161)(50, 160)(51, 162)(52, 153)(53, 151)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E18.846
Graph:: bipartite
	v = 29 e = 108 f = 45
	degree seq :: [ 4^27, 54^2 ]

E18.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 27})
Quotient :: dipole
Aut^+ = D54 (small group id <54, 1>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3, Y1^2 * Y3^-2 * Y1^2 * Y3^-2 * Y1, Y3^17 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 7, 61, 19, 73, 35, 89, 46, 100, 34, 88, 15, 69, 4, 58, 9, 63, 21, 75, 18, 72, 26, 80, 40, 94, 48, 102, 33, 87, 14, 68, 25, 79, 17, 71, 6, 60, 10, 64, 22, 76, 37, 91, 47, 101, 32, 86, 16, 70, 5, 59)(3, 57, 11, 65, 27, 81, 43, 97, 52, 106, 50, 104, 38, 92, 23, 77, 12, 66, 28, 82, 42, 96, 31, 85, 45, 99, 54, 108, 51, 105, 41, 95, 30, 84, 39, 93, 24, 78, 13, 67, 29, 83, 44, 98, 53, 107, 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, 139, 193)(123, 177, 137, 191)(124, 178, 135, 189)(125, 179, 136, 190)(126, 180, 138, 192)(127, 181, 144, 198)(129, 183, 147, 201)(130, 184, 146, 200)(133, 187, 150, 204)(134, 188, 149, 203)(140, 194, 151, 205)(141, 195, 153, 207)(142, 196, 152, 206)(143, 197, 157, 211)(145, 199, 158, 212)(148, 202, 159, 213)(154, 208, 161, 215)(155, 209, 160, 214)(156, 210, 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, 142)(17, 113)(18, 114)(19, 126)(20, 146)(21, 125)(22, 115)(23, 149)(24, 116)(25, 124)(26, 118)(27, 150)(28, 147)(29, 119)(30, 144)(31, 121)(32, 154)(33, 155)(34, 156)(35, 134)(36, 158)(37, 127)(38, 159)(39, 128)(40, 130)(41, 157)(42, 132)(43, 139)(44, 135)(45, 137)(46, 148)(47, 143)(48, 145)(49, 160)(50, 162)(51, 161)(52, 153)(53, 151)(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) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 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 E18.847
Graph:: bipartite
	v = 29 e = 108 f = 45
	degree seq :: [ 4^27, 54^2 ]

E18.850 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1 * T2^18, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 54, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 53, 47, 41, 35, 29, 23, 17, 11, 5)(55, 56, 58)(57, 60, 63)(59, 61, 64)(62, 66, 69)(65, 67, 70)(68, 72, 75)(71, 73, 76)(74, 78, 81)(77, 79, 82)(80, 84, 87)(83, 85, 88)(86, 90, 93)(89, 91, 94)(92, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 107, 108)
	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) :: { ( 108^3 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E18.854
Transitivity :: ET+
Graph:: bipartite
	v = 19 e = 54 f = 1
	degree seq :: [ 3^18, 54 ]

E18.851 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^18, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 53, 47, 41, 35, 29, 23, 17, 11, 5)(55, 56, 58)(57, 60, 63)(59, 61, 64)(62, 66, 69)(65, 67, 70)(68, 72, 75)(71, 73, 76)(74, 78, 81)(77, 79, 82)(80, 84, 87)(83, 85, 88)(86, 90, 93)(89, 91, 94)(92, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 108, 107)
	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) :: { ( 108^3 ), ( 108^54 ) }
Outer automorphisms :: reflexible
Dual of E18.853
Transitivity :: ET+
Graph:: bipartite
	v = 19 e = 54 f = 1
	degree seq :: [ 3^18, 54 ]

E18.852 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 54, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^-3 * T2^-3, T1^-8 * T2^10, T2^4 * T1^40, T1^54 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 52, 48, 41, 34, 30, 23, 14, 13, 5)(55, 56, 60, 68, 76, 82, 88, 94, 100, 106, 104, 97, 93, 86, 79, 75, 64, 57, 61, 69, 67, 72, 78, 84, 90, 96, 102, 108, 103, 99, 92, 85, 81, 74, 63, 71, 66, 59, 62, 70, 77, 83, 89, 95, 101, 107, 105, 98, 91, 87, 80, 73, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6^54 ) }
Outer automorphisms :: reflexible
Dual of E18.855
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 54 f = 18
	degree seq :: [ 54^2 ]

E18.853 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1 * T2^18, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 8, 62, 14, 68, 20, 74, 26, 80, 32, 86, 38, 92, 44, 98, 50, 104, 52, 106, 46, 100, 40, 94, 34, 88, 28, 82, 22, 76, 16, 70, 10, 64, 4, 58, 9, 63, 15, 69, 21, 75, 27, 81, 33, 87, 39, 93, 45, 99, 51, 105, 54, 108, 49, 103, 43, 97, 37, 91, 31, 85, 25, 79, 19, 73, 13, 67, 7, 61, 2, 56, 6, 60, 12, 66, 18, 72, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 53, 107, 47, 101, 41, 95, 35, 89, 29, 83, 23, 77, 17, 71, 11, 65, 5, 59)
	L = (1, 56)(2, 58)(3, 60)(4, 55)(5, 61)(6, 63)(7, 64)(8, 66)(9, 57)(10, 59)(11, 67)(12, 69)(13, 70)(14, 72)(15, 62)(16, 65)(17, 73)(18, 75)(19, 76)(20, 78)(21, 68)(22, 71)(23, 79)(24, 81)(25, 82)(26, 84)(27, 74)(28, 77)(29, 85)(30, 87)(31, 88)(32, 90)(33, 80)(34, 83)(35, 91)(36, 93)(37, 94)(38, 96)(39, 86)(40, 89)(41, 97)(42, 99)(43, 100)(44, 102)(45, 92)(46, 95)(47, 103)(48, 105)(49, 106)(50, 107)(51, 98)(52, 101)(53, 108)(54, 104)
	local type(s) :: { ( 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54 ) }
Outer automorphisms :: reflexible
Dual of E18.851
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 19
	degree seq :: [ 108 ]

E18.854 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^18, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 8, 62, 14, 68, 20, 74, 26, 80, 32, 86, 38, 92, 44, 98, 50, 104, 49, 103, 43, 97, 37, 91, 31, 85, 25, 79, 19, 73, 13, 67, 7, 61, 2, 56, 6, 60, 12, 66, 18, 72, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 54, 108, 52, 106, 46, 100, 40, 94, 34, 88, 28, 82, 22, 76, 16, 70, 10, 64, 4, 58, 9, 63, 15, 69, 21, 75, 27, 81, 33, 87, 39, 93, 45, 99, 51, 105, 53, 107, 47, 101, 41, 95, 35, 89, 29, 83, 23, 77, 17, 71, 11, 65, 5, 59)
	L = (1, 56)(2, 58)(3, 60)(4, 55)(5, 61)(6, 63)(7, 64)(8, 66)(9, 57)(10, 59)(11, 67)(12, 69)(13, 70)(14, 72)(15, 62)(16, 65)(17, 73)(18, 75)(19, 76)(20, 78)(21, 68)(22, 71)(23, 79)(24, 81)(25, 82)(26, 84)(27, 74)(28, 77)(29, 85)(30, 87)(31, 88)(32, 90)(33, 80)(34, 83)(35, 91)(36, 93)(37, 94)(38, 96)(39, 86)(40, 89)(41, 97)(42, 99)(43, 100)(44, 102)(45, 92)(46, 95)(47, 103)(48, 105)(49, 106)(50, 108)(51, 98)(52, 101)(53, 104)(54, 107)
	local type(s) :: { ( 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54, 3, 54 ) }
Outer automorphisms :: reflexible
Dual of E18.850
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 19
	degree seq :: [ 108 ]

E18.855 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 54, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^18, (T1^-1 * T2^-1)^54 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 5, 59)(2, 56, 7, 61, 8, 62)(4, 58, 9, 63, 11, 65)(6, 60, 13, 67, 14, 68)(10, 64, 15, 69, 17, 71)(12, 66, 19, 73, 20, 74)(16, 70, 21, 75, 23, 77)(18, 72, 25, 79, 26, 80)(22, 76, 27, 81, 29, 83)(24, 78, 31, 85, 32, 86)(28, 82, 33, 87, 35, 89)(30, 84, 37, 91, 38, 92)(34, 88, 39, 93, 41, 95)(36, 90, 43, 97, 44, 98)(40, 94, 45, 99, 47, 101)(42, 96, 49, 103, 50, 104)(46, 100, 51, 105, 53, 107)(48, 102, 52, 106, 54, 108)
	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, 78)(19, 79)(20, 80)(21, 69)(22, 70)(23, 71)(24, 84)(25, 85)(26, 86)(27, 75)(28, 76)(29, 77)(30, 90)(31, 91)(32, 92)(33, 81)(34, 82)(35, 83)(36, 96)(37, 97)(38, 98)(39, 87)(40, 88)(41, 89)(42, 102)(43, 103)(44, 104)(45, 93)(46, 94)(47, 95)(48, 107)(49, 106)(50, 108)(51, 99)(52, 100)(53, 101)(54, 105)
	local type(s) :: { ( 54^6 ) }
Outer automorphisms :: reflexible
Dual of E18.852
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 54 f = 2
	degree seq :: [ 6^18 ]

E18.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^-18 * 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, 4, 58)(3, 57, 6, 60, 9, 63)(5, 59, 7, 61, 10, 64)(8, 62, 12, 66, 15, 69)(11, 65, 13, 67, 16, 70)(14, 68, 18, 72, 21, 75)(17, 71, 19, 73, 22, 76)(20, 74, 24, 78, 27, 81)(23, 77, 25, 79, 28, 82)(26, 80, 30, 84, 33, 87)(29, 83, 31, 85, 34, 88)(32, 86, 36, 90, 39, 93)(35, 89, 37, 91, 40, 94)(38, 92, 42, 96, 45, 99)(41, 95, 43, 97, 46, 100)(44, 98, 48, 102, 51, 105)(47, 101, 49, 103, 52, 106)(50, 104, 54, 108, 53, 107)(109, 163, 111, 165, 116, 170, 122, 176, 128, 182, 134, 188, 140, 194, 146, 200, 152, 206, 158, 212, 157, 211, 151, 205, 145, 199, 139, 193, 133, 187, 127, 181, 121, 175, 115, 169, 110, 164, 114, 168, 120, 174, 126, 180, 132, 186, 138, 192, 144, 198, 150, 204, 156, 210, 162, 216, 160, 214, 154, 208, 148, 202, 142, 196, 136, 190, 130, 184, 124, 178, 118, 172, 112, 166, 117, 171, 123, 177, 129, 183, 135, 189, 141, 195, 147, 201, 153, 207, 159, 213, 161, 215, 155, 209, 149, 203, 143, 197, 137, 191, 131, 185, 125, 179, 119, 173, 113, 167)
	L = (1, 112)(2, 109)(3, 117)(4, 110)(5, 118)(6, 111)(7, 113)(8, 123)(9, 114)(10, 115)(11, 124)(12, 116)(13, 119)(14, 129)(15, 120)(16, 121)(17, 130)(18, 122)(19, 125)(20, 135)(21, 126)(22, 127)(23, 136)(24, 128)(25, 131)(26, 141)(27, 132)(28, 133)(29, 142)(30, 134)(31, 137)(32, 147)(33, 138)(34, 139)(35, 148)(36, 140)(37, 143)(38, 153)(39, 144)(40, 145)(41, 154)(42, 146)(43, 149)(44, 159)(45, 150)(46, 151)(47, 160)(48, 152)(49, 155)(50, 161)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.860
Graph:: bipartite
	v = 19 e = 108 f = 55
	degree seq :: [ 6^18, 108 ]

E18.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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, Y3 * Y1^-2, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y2^18 * 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, 4, 58)(3, 57, 6, 60, 9, 63)(5, 59, 7, 61, 10, 64)(8, 62, 12, 66, 15, 69)(11, 65, 13, 67, 16, 70)(14, 68, 18, 72, 21, 75)(17, 71, 19, 73, 22, 76)(20, 74, 24, 78, 27, 81)(23, 77, 25, 79, 28, 82)(26, 80, 30, 84, 33, 87)(29, 83, 31, 85, 34, 88)(32, 86, 36, 90, 39, 93)(35, 89, 37, 91, 40, 94)(38, 92, 42, 96, 45, 99)(41, 95, 43, 97, 46, 100)(44, 98, 48, 102, 51, 105)(47, 101, 49, 103, 52, 106)(50, 104, 53, 107, 54, 108)(109, 163, 111, 165, 116, 170, 122, 176, 128, 182, 134, 188, 140, 194, 146, 200, 152, 206, 158, 212, 160, 214, 154, 208, 148, 202, 142, 196, 136, 190, 130, 184, 124, 178, 118, 172, 112, 166, 117, 171, 123, 177, 129, 183, 135, 189, 141, 195, 147, 201, 153, 207, 159, 213, 162, 216, 157, 211, 151, 205, 145, 199, 139, 193, 133, 187, 127, 181, 121, 175, 115, 169, 110, 164, 114, 168, 120, 174, 126, 180, 132, 186, 138, 192, 144, 198, 150, 204, 156, 210, 161, 215, 155, 209, 149, 203, 143, 197, 137, 191, 131, 185, 125, 179, 119, 173, 113, 167)
	L = (1, 112)(2, 109)(3, 117)(4, 110)(5, 118)(6, 111)(7, 113)(8, 123)(9, 114)(10, 115)(11, 124)(12, 116)(13, 119)(14, 129)(15, 120)(16, 121)(17, 130)(18, 122)(19, 125)(20, 135)(21, 126)(22, 127)(23, 136)(24, 128)(25, 131)(26, 141)(27, 132)(28, 133)(29, 142)(30, 134)(31, 137)(32, 147)(33, 138)(34, 139)(35, 148)(36, 140)(37, 143)(38, 153)(39, 144)(40, 145)(41, 154)(42, 146)(43, 149)(44, 159)(45, 150)(46, 151)(47, 160)(48, 152)(49, 155)(50, 162)(51, 156)(52, 157)(53, 158)(54, 161)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E18.861
Graph:: bipartite
	v = 19 e = 108 f = 55
	degree seq :: [ 6^18, 108 ]

E18.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 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 * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^3 * Y2^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y2^7 * Y1^7 * Y2^-1 * Y1^-1, Y1^15 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 22, 76, 28, 82, 34, 88, 40, 94, 46, 100, 52, 106, 49, 103, 45, 99, 38, 92, 31, 85, 27, 81, 20, 74, 9, 63, 17, 71, 12, 66, 5, 59, 8, 62, 16, 70, 23, 77, 29, 83, 35, 89, 41, 95, 47, 101, 53, 107, 50, 104, 43, 97, 39, 93, 32, 86, 25, 79, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 13, 67, 18, 72, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 54, 108, 51, 105, 44, 98, 37, 91, 33, 87, 26, 80, 19, 73, 11, 65, 4, 58)(109, 163, 111, 165, 117, 171, 127, 181, 133, 187, 139, 193, 145, 199, 151, 205, 157, 211, 162, 216, 155, 209, 148, 202, 144, 198, 137, 191, 130, 184, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 119, 173, 129, 183, 135, 189, 141, 195, 147, 201, 153, 207, 159, 213, 161, 215, 154, 208, 150, 204, 143, 197, 136, 190, 132, 186, 124, 178, 114, 168, 123, 177, 120, 174, 112, 166, 118, 172, 128, 182, 134, 188, 140, 194, 146, 200, 152, 206, 158, 212, 160, 214, 156, 210, 149, 203, 142, 196, 138, 192, 131, 185, 122, 176, 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, 121)(15, 120)(16, 114)(17, 119)(18, 116)(19, 133)(20, 134)(21, 135)(22, 126)(23, 122)(24, 124)(25, 139)(26, 140)(27, 141)(28, 132)(29, 130)(30, 131)(31, 145)(32, 146)(33, 147)(34, 138)(35, 136)(36, 137)(37, 151)(38, 152)(39, 153)(40, 144)(41, 142)(42, 143)(43, 157)(44, 158)(45, 159)(46, 150)(47, 148)(48, 149)(49, 162)(50, 160)(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) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E18.859
Graph:: bipartite
	v = 2 e = 108 f = 72
	degree seq :: [ 108^2 ]

E18.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2 * Y3^18, 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 * Y3^2, (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, 112, 166)(111, 165, 114, 168, 117, 171)(113, 167, 115, 169, 118, 172)(116, 170, 120, 174, 123, 177)(119, 173, 121, 175, 124, 178)(122, 176, 126, 180, 129, 183)(125, 179, 127, 181, 130, 184)(128, 182, 132, 186, 135, 189)(131, 185, 133, 187, 136, 190)(134, 188, 138, 192, 141, 195)(137, 191, 139, 193, 142, 196)(140, 194, 144, 198, 147, 201)(143, 197, 145, 199, 148, 202)(146, 200, 150, 204, 153, 207)(149, 203, 151, 205, 154, 208)(152, 206, 156, 210, 159, 213)(155, 209, 157, 211, 160, 214)(158, 212, 161, 215, 162, 216)
	L = (1, 111)(2, 114)(3, 116)(4, 117)(5, 109)(6, 120)(7, 110)(8, 122)(9, 123)(10, 112)(11, 113)(12, 126)(13, 115)(14, 128)(15, 129)(16, 118)(17, 119)(18, 132)(19, 121)(20, 134)(21, 135)(22, 124)(23, 125)(24, 138)(25, 127)(26, 140)(27, 141)(28, 130)(29, 131)(30, 144)(31, 133)(32, 146)(33, 147)(34, 136)(35, 137)(36, 150)(37, 139)(38, 152)(39, 153)(40, 142)(41, 143)(42, 156)(43, 145)(44, 158)(45, 159)(46, 148)(47, 149)(48, 161)(49, 151)(50, 160)(51, 162)(52, 154)(53, 155)(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) :: { ( 108, 108 ), ( 108^6 ) }
Outer automorphisms :: reflexible
Dual of E18.858
Graph:: simple bipartite
	v = 72 e = 108 f = 2
	degree seq :: [ 2^54, 6^18 ]

E18.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^18, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 12, 66, 18, 72, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 53, 107, 47, 101, 41, 95, 35, 89, 29, 83, 23, 77, 17, 71, 11, 65, 5, 59, 8, 62, 14, 68, 20, 74, 26, 80, 32, 86, 38, 92, 44, 98, 50, 104, 54, 108, 51, 105, 45, 99, 39, 93, 33, 87, 27, 81, 21, 75, 15, 69, 9, 63, 3, 57, 7, 61, 13, 67, 19, 73, 25, 79, 31, 85, 37, 91, 43, 97, 49, 103, 52, 106, 46, 100, 40, 94, 34, 88, 28, 82, 22, 76, 16, 70, 10, 64, 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, 113)(4, 117)(5, 109)(6, 121)(7, 116)(8, 110)(9, 119)(10, 123)(11, 112)(12, 127)(13, 122)(14, 114)(15, 125)(16, 129)(17, 118)(18, 133)(19, 128)(20, 120)(21, 131)(22, 135)(23, 124)(24, 139)(25, 134)(26, 126)(27, 137)(28, 141)(29, 130)(30, 145)(31, 140)(32, 132)(33, 143)(34, 147)(35, 136)(36, 151)(37, 146)(38, 138)(39, 149)(40, 153)(41, 142)(42, 157)(43, 152)(44, 144)(45, 155)(46, 159)(47, 148)(48, 160)(49, 158)(50, 150)(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) :: { ( 6, 108 ), ( 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108 ) }
Outer automorphisms :: reflexible
Dual of E18.856
Graph:: bipartite
	v = 55 e = 108 f = 19
	degree seq :: [ 2^54, 108 ]

E18.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 54, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^18, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 12, 66, 18, 72, 24, 78, 30, 84, 36, 90, 42, 96, 48, 102, 51, 105, 45, 99, 39, 93, 33, 87, 27, 81, 21, 75, 15, 69, 9, 63, 3, 57, 7, 61, 13, 67, 19, 73, 25, 79, 31, 85, 37, 91, 43, 97, 49, 103, 54, 108, 53, 107, 47, 101, 41, 95, 35, 89, 29, 83, 23, 77, 17, 71, 11, 65, 5, 59, 8, 62, 14, 68, 20, 74, 26, 80, 32, 86, 38, 92, 44, 98, 50, 104, 52, 106, 46, 100, 40, 94, 34, 88, 28, 82, 22, 76, 16, 70, 10, 64, 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, 113)(4, 117)(5, 109)(6, 121)(7, 116)(8, 110)(9, 119)(10, 123)(11, 112)(12, 127)(13, 122)(14, 114)(15, 125)(16, 129)(17, 118)(18, 133)(19, 128)(20, 120)(21, 131)(22, 135)(23, 124)(24, 139)(25, 134)(26, 126)(27, 137)(28, 141)(29, 130)(30, 145)(31, 140)(32, 132)(33, 143)(34, 147)(35, 136)(36, 151)(37, 146)(38, 138)(39, 149)(40, 153)(41, 142)(42, 157)(43, 152)(44, 144)(45, 155)(46, 159)(47, 148)(48, 162)(49, 158)(50, 150)(51, 161)(52, 156)(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) :: { ( 6, 108 ), ( 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108, 6, 108 ) }
Outer automorphisms :: reflexible
Dual of E18.857
Graph:: bipartite
	v = 55 e = 108 f = 19
	degree seq :: [ 2^54, 108 ]

E18.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y3 * Y2)^4, (Y3 * Y1)^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58)(3, 59, 7, 63)(4, 60, 9, 65)(5, 61, 11, 67)(6, 62, 13, 69)(8, 64, 16, 72)(10, 66, 19, 75)(12, 68, 21, 77)(14, 70, 24, 80)(15, 71, 20, 76)(17, 73, 26, 82)(18, 74, 27, 83)(22, 78, 30, 86)(23, 79, 31, 87)(25, 81, 33, 89)(28, 84, 36, 92)(29, 85, 37, 93)(32, 88, 40, 96)(34, 90, 42, 98)(35, 91, 43, 99)(38, 94, 46, 102)(39, 95, 47, 103)(41, 97, 49, 105)(44, 100, 51, 107)(45, 101, 52, 108)(48, 104, 54, 110)(50, 106, 55, 111)(53, 109, 56, 112)(113, 169, 115, 171)(114, 170, 117, 173)(116, 172, 122, 178)(118, 174, 126, 182)(119, 175, 127, 183)(120, 176, 129, 185)(121, 177, 128, 184)(123, 179, 132, 188)(124, 180, 134, 190)(125, 181, 133, 189)(130, 186, 140, 196)(131, 187, 138, 194)(135, 191, 144, 200)(136, 192, 142, 198)(137, 193, 146, 202)(139, 195, 145, 201)(141, 197, 150, 206)(143, 199, 149, 205)(147, 203, 156, 212)(148, 204, 154, 210)(151, 207, 160, 216)(152, 208, 158, 214)(153, 209, 162, 218)(155, 211, 161, 217)(157, 213, 165, 221)(159, 215, 164, 220)(163, 219, 167, 223)(166, 222, 168, 224)
	L = (1, 116)(2, 118)(3, 120)(4, 113)(5, 124)(6, 114)(7, 126)(8, 115)(9, 130)(10, 123)(11, 122)(12, 117)(13, 135)(14, 119)(15, 134)(16, 137)(17, 132)(18, 121)(19, 140)(20, 129)(21, 141)(22, 127)(23, 125)(24, 144)(25, 128)(26, 146)(27, 147)(28, 131)(29, 133)(30, 150)(31, 151)(32, 136)(33, 153)(34, 138)(35, 139)(36, 156)(37, 157)(38, 142)(39, 143)(40, 160)(41, 145)(42, 162)(43, 159)(44, 148)(45, 149)(46, 165)(47, 155)(48, 152)(49, 166)(50, 154)(51, 164)(52, 163)(53, 158)(54, 161)(55, 168)(56, 167)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.867
Graph:: simple bipartite
	v = 56 e = 112 f = 22
	degree seq :: [ 4^56 ]

E18.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
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, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y2^-1 * Y3^-7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58)(3, 59, 9, 65)(4, 60, 10, 66)(5, 61, 7, 63)(6, 62, 8, 64)(11, 67, 18, 74)(12, 68, 23, 79)(13, 69, 22, 78)(14, 70, 24, 80)(15, 71, 20, 76)(16, 72, 19, 75)(17, 73, 21, 77)(25, 81, 34, 90)(26, 82, 33, 89)(27, 83, 39, 95)(28, 84, 38, 94)(29, 85, 40, 96)(30, 86, 36, 92)(31, 87, 35, 91)(32, 88, 37, 93)(41, 97, 48, 104)(42, 98, 47, 103)(43, 99, 51, 107)(44, 100, 52, 108)(45, 101, 49, 105)(46, 102, 50, 106)(53, 109, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 130, 186, 121, 177)(116, 172, 124, 180, 137, 193, 127, 183)(118, 174, 125, 181, 138, 194, 128, 184)(120, 176, 131, 187, 145, 201, 134, 190)(122, 178, 132, 188, 146, 202, 135, 191)(126, 182, 139, 195, 153, 209, 142, 198)(129, 185, 140, 196, 154, 210, 143, 199)(133, 189, 147, 203, 159, 215, 150, 206)(136, 192, 148, 204, 160, 216, 151, 207)(141, 197, 155, 211, 165, 221, 158, 214)(144, 200, 156, 212, 166, 222, 157, 213)(149, 205, 161, 217, 167, 223, 164, 220)(152, 208, 162, 218, 168, 224, 163, 219)
	L = (1, 116)(2, 120)(3, 124)(4, 126)(5, 127)(6, 113)(7, 131)(8, 133)(9, 134)(10, 114)(11, 137)(12, 139)(13, 115)(14, 141)(15, 142)(16, 117)(17, 118)(18, 145)(19, 147)(20, 119)(21, 149)(22, 150)(23, 121)(24, 122)(25, 153)(26, 123)(27, 155)(28, 125)(29, 157)(30, 158)(31, 128)(32, 129)(33, 159)(34, 130)(35, 161)(36, 132)(37, 163)(38, 164)(39, 135)(40, 136)(41, 165)(42, 138)(43, 144)(44, 140)(45, 143)(46, 166)(47, 167)(48, 146)(49, 152)(50, 148)(51, 151)(52, 168)(53, 156)(54, 154)(55, 162)(56, 160)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.865
Graph:: simple bipartite
	v = 42 e = 112 f = 36
	degree seq :: [ 4^28, 8^14 ]

E18.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, (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 ]
Map:: polytopal 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, 16, 72)(12, 68, 17, 73)(13, 69, 18, 74)(14, 70, 19, 75)(15, 71, 20, 76)(21, 77, 26, 82)(22, 78, 25, 81)(23, 79, 28, 84)(24, 80, 27, 83)(29, 85, 33, 89)(30, 86, 34, 90)(31, 87, 35, 91)(32, 88, 36, 92)(37, 93, 42, 98)(38, 94, 41, 97)(39, 95, 44, 100)(40, 96, 43, 99)(45, 101, 49, 105)(46, 102, 50, 106)(47, 103, 51, 107)(48, 104, 52, 108)(53, 109, 56, 112)(54, 110, 55, 111)(113, 169, 115, 171, 123, 179, 117, 173)(114, 170, 119, 175, 128, 184, 121, 177)(116, 172, 126, 182, 118, 174, 127, 183)(120, 176, 131, 187, 122, 178, 132, 188)(124, 180, 133, 189, 125, 181, 134, 190)(129, 185, 137, 193, 130, 186, 138, 194)(135, 191, 143, 199, 136, 192, 144, 200)(139, 195, 147, 203, 140, 196, 148, 204)(141, 197, 149, 205, 142, 198, 150, 206)(145, 201, 153, 209, 146, 202, 154, 210)(151, 207, 159, 215, 152, 208, 160, 216)(155, 211, 163, 219, 156, 212, 164, 220)(157, 213, 165, 221, 158, 214, 166, 222)(161, 217, 167, 223, 162, 218, 168, 224)
	L = (1, 116)(2, 120)(3, 124)(4, 123)(5, 125)(6, 113)(7, 129)(8, 128)(9, 130)(10, 114)(11, 118)(12, 117)(13, 115)(14, 135)(15, 136)(16, 122)(17, 121)(18, 119)(19, 139)(20, 140)(21, 141)(22, 142)(23, 127)(24, 126)(25, 145)(26, 146)(27, 132)(28, 131)(29, 134)(30, 133)(31, 151)(32, 152)(33, 138)(34, 137)(35, 155)(36, 156)(37, 157)(38, 158)(39, 144)(40, 143)(41, 161)(42, 162)(43, 148)(44, 147)(45, 150)(46, 149)(47, 165)(48, 166)(49, 154)(50, 153)(51, 167)(52, 168)(53, 160)(54, 159)(55, 164)(56, 163)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.866
Graph:: simple bipartite
	v = 42 e = 112 f = 36
	degree seq :: [ 4^28, 8^14 ]

E18.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = D56 (small group id <56, 5>)
Aut   = C2 x D56 (small group id <112, 29>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3, Y1^-1), (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^3, Y1^7, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 7, 63, 19, 75, 35, 91, 16, 72, 5, 61)(3, 59, 11, 67, 27, 83, 47, 103, 39, 95, 20, 76, 8, 64)(4, 60, 9, 65, 21, 77, 40, 96, 38, 94, 34, 90, 15, 71)(6, 62, 10, 66, 22, 78, 32, 88, 46, 102, 36, 92, 17, 73)(12, 68, 28, 84, 48, 104, 56, 112, 53, 109, 41, 97, 23, 79)(13, 69, 29, 85, 49, 105, 52, 108, 54, 110, 42, 98, 24, 80)(14, 70, 25, 81, 43, 99, 37, 93, 18, 74, 26, 82, 33, 89)(30, 86, 50, 106, 55, 111, 45, 101, 31, 87, 51, 107, 44, 100)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 123, 179)(118, 174, 124, 180)(119, 175, 132, 188)(121, 177, 136, 192)(122, 178, 135, 191)(126, 182, 143, 199)(127, 183, 141, 197)(128, 184, 139, 195)(129, 185, 140, 196)(130, 186, 142, 198)(131, 187, 151, 207)(133, 189, 154, 210)(134, 190, 153, 209)(137, 193, 157, 213)(138, 194, 156, 212)(144, 200, 165, 221)(145, 201, 163, 219)(146, 202, 161, 217)(147, 203, 159, 215)(148, 204, 160, 216)(149, 205, 162, 218)(150, 206, 164, 220)(152, 208, 166, 222)(155, 211, 167, 223)(158, 214, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 126)(5, 127)(6, 113)(7, 133)(8, 135)(9, 137)(10, 114)(11, 140)(12, 142)(13, 115)(14, 144)(15, 145)(16, 146)(17, 117)(18, 118)(19, 152)(20, 153)(21, 155)(22, 119)(23, 156)(24, 120)(25, 158)(26, 122)(27, 160)(28, 162)(29, 123)(30, 164)(31, 125)(32, 131)(33, 134)(34, 138)(35, 150)(36, 128)(37, 129)(38, 130)(39, 165)(40, 149)(41, 163)(42, 132)(43, 148)(44, 161)(45, 136)(46, 147)(47, 168)(48, 167)(49, 139)(50, 166)(51, 141)(52, 159)(53, 143)(54, 151)(55, 154)(56, 157)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.863
Graph:: simple bipartite
	v = 36 e = 112 f = 42
	degree seq :: [ 4^28, 14^8 ]

E18.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 7, 63, 18, 74, 31, 87, 16, 72, 5, 61)(3, 59, 11, 67, 25, 81, 40, 96, 33, 89, 19, 75, 8, 64)(4, 60, 14, 70, 29, 85, 44, 100, 34, 90, 20, 76, 9, 65)(6, 62, 17, 73, 32, 88, 46, 102, 35, 91, 21, 77, 10, 66)(12, 68, 22, 78, 36, 92, 47, 103, 51, 107, 41, 97, 26, 82)(13, 69, 23, 79, 37, 93, 48, 104, 52, 108, 42, 98, 27, 83)(15, 71, 24, 80, 38, 94, 49, 105, 54, 110, 45, 101, 30, 86)(28, 84, 43, 99, 53, 109, 56, 112, 55, 111, 50, 106, 39, 95)(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, 139, 195)(127, 183, 140, 196)(128, 184, 137, 193)(129, 185, 138, 194)(130, 186, 145, 201)(132, 188, 149, 205)(133, 189, 148, 204)(136, 192, 151, 207)(141, 197, 154, 210)(142, 198, 155, 211)(143, 199, 152, 208)(144, 200, 153, 209)(146, 202, 160, 216)(147, 203, 159, 215)(150, 206, 162, 218)(156, 212, 164, 220)(157, 213, 165, 221)(158, 214, 163, 219)(161, 217, 167, 223)(166, 222, 168, 224)
	L = (1, 116)(2, 121)(3, 124)(4, 127)(5, 126)(6, 113)(7, 132)(8, 134)(9, 136)(10, 114)(11, 138)(12, 140)(13, 115)(14, 142)(15, 118)(16, 141)(17, 117)(18, 146)(19, 148)(20, 150)(21, 119)(22, 151)(23, 120)(24, 122)(25, 153)(26, 155)(27, 123)(28, 125)(29, 157)(30, 129)(31, 156)(32, 128)(33, 159)(34, 161)(35, 130)(36, 162)(37, 131)(38, 133)(39, 135)(40, 163)(41, 165)(42, 137)(43, 139)(44, 166)(45, 144)(46, 143)(47, 167)(48, 145)(49, 147)(50, 149)(51, 168)(52, 152)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.864
Graph:: simple bipartite
	v = 36 e = 112 f = 42
	degree seq :: [ 4^28, 14^8 ]

E18.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = D8 x D14 (small group id <112, 31>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 7, 63, 5, 61)(3, 59, 10, 66, 18, 74, 13, 69)(4, 60, 14, 70, 19, 75, 9, 65)(6, 62, 8, 64, 20, 76, 16, 72)(11, 67, 24, 80, 33, 89, 27, 83)(12, 68, 28, 84, 34, 90, 23, 79)(15, 71, 29, 85, 35, 91, 22, 78)(17, 73, 21, 77, 36, 92, 31, 87)(25, 81, 40, 96, 47, 103, 42, 98)(26, 82, 43, 99, 48, 104, 39, 95)(30, 86, 44, 100, 49, 105, 38, 94)(32, 88, 37, 93, 50, 106, 46, 102)(41, 97, 53, 109, 55, 111, 52, 108)(45, 101, 54, 110, 56, 112, 51, 107)(113, 169, 115, 171, 123, 179, 137, 193, 144, 200, 129, 185, 118, 174)(114, 170, 120, 176, 133, 189, 149, 205, 152, 208, 136, 192, 122, 178)(116, 172, 127, 183, 142, 198, 157, 213, 153, 209, 138, 194, 124, 180)(117, 173, 128, 184, 143, 199, 158, 214, 154, 210, 139, 195, 125, 181)(119, 175, 130, 186, 145, 201, 159, 215, 162, 218, 148, 204, 132, 188)(121, 177, 135, 191, 151, 207, 164, 220, 163, 219, 150, 206, 134, 190)(126, 182, 140, 196, 155, 211, 165, 221, 166, 222, 156, 212, 141, 197)(131, 187, 147, 203, 161, 217, 168, 224, 167, 223, 160, 216, 146, 202)
	L = (1, 116)(2, 121)(3, 124)(4, 113)(5, 126)(6, 127)(7, 131)(8, 134)(9, 114)(10, 135)(11, 138)(12, 115)(13, 140)(14, 117)(15, 118)(16, 141)(17, 142)(18, 146)(19, 119)(20, 147)(21, 150)(22, 120)(23, 122)(24, 151)(25, 153)(26, 123)(27, 155)(28, 125)(29, 128)(30, 129)(31, 156)(32, 157)(33, 160)(34, 130)(35, 132)(36, 161)(37, 163)(38, 133)(39, 136)(40, 164)(41, 137)(42, 165)(43, 139)(44, 143)(45, 144)(46, 166)(47, 167)(48, 145)(49, 148)(50, 168)(51, 149)(52, 152)(53, 154)(54, 158)(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) :: { ( 4^8 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E18.862
Graph:: simple bipartite
	v = 22 e = 112 f = 56
	degree seq :: [ 8^14, 14^8 ]

E18.868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2 * Y3, Y3^4, Y3^2 * Y2^2, (Y1 * Y3)^2, Y2^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (Y3^-1 * Y2)^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58)(3, 59, 11, 67)(4, 60, 10, 66)(5, 61, 17, 73)(6, 62, 8, 64)(7, 63, 18, 74)(9, 65, 24, 80)(12, 68, 19, 75)(13, 69, 22, 78)(14, 70, 23, 79)(15, 71, 20, 76)(16, 72, 21, 77)(25, 81, 33, 89)(26, 82, 36, 92)(27, 83, 34, 90)(28, 84, 35, 91)(29, 85, 37, 93)(30, 86, 40, 96)(31, 87, 38, 94)(32, 88, 39, 95)(41, 97, 49, 105)(42, 98, 52, 108)(43, 99, 50, 106)(44, 100, 51, 107)(45, 101, 53, 109)(46, 102, 56, 112)(47, 103, 54, 110)(48, 104, 55, 111)(113, 169, 115, 171, 124, 180, 117, 173)(114, 170, 119, 175, 131, 187, 121, 177)(116, 172, 127, 183, 118, 174, 128, 184)(120, 176, 134, 190, 122, 178, 135, 191)(123, 179, 137, 193, 129, 185, 138, 194)(125, 181, 139, 195, 126, 182, 140, 196)(130, 186, 141, 197, 136, 192, 142, 198)(132, 188, 143, 199, 133, 189, 144, 200)(145, 201, 153, 209, 148, 204, 154, 210)(146, 202, 155, 211, 147, 203, 156, 212)(149, 205, 157, 213, 152, 208, 158, 214)(150, 206, 159, 215, 151, 207, 160, 216)(161, 217, 167, 223, 164, 220, 166, 222)(162, 218, 165, 221, 163, 219, 168, 224)
	L = (1, 116)(2, 120)(3, 125)(4, 124)(5, 126)(6, 113)(7, 132)(8, 131)(9, 133)(10, 114)(11, 135)(12, 118)(13, 117)(14, 115)(15, 130)(16, 136)(17, 134)(18, 128)(19, 122)(20, 121)(21, 119)(22, 123)(23, 129)(24, 127)(25, 146)(26, 147)(27, 145)(28, 148)(29, 150)(30, 151)(31, 149)(32, 152)(33, 140)(34, 138)(35, 137)(36, 139)(37, 144)(38, 142)(39, 141)(40, 143)(41, 162)(42, 163)(43, 161)(44, 164)(45, 166)(46, 167)(47, 165)(48, 168)(49, 156)(50, 154)(51, 153)(52, 155)(53, 160)(54, 158)(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) :: { ( 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.869
Graph:: simple bipartite
	v = 42 e = 112 f = 36
	degree seq :: [ 4^28, 8^14 ]

E18.869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 7})
Quotient :: dipole
Aut^+ = (C14 x C2) : C2 (small group id <56, 7>)
Aut   = C2 x ((C14 x C2) : C2) (small group id <112, 36>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1^-1, Y3^4, (R * Y2 * Y3^-1)^2, Y1^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 7, 63, 18, 74, 31, 87, 16, 72, 5, 61)(3, 59, 8, 64, 19, 75, 33, 89, 42, 98, 27, 83, 12, 68)(4, 60, 14, 70, 29, 85, 44, 100, 34, 90, 20, 76, 9, 65)(6, 62, 17, 73, 32, 88, 46, 102, 35, 91, 21, 77, 10, 66)(11, 67, 25, 81, 40, 96, 51, 107, 47, 103, 36, 92, 22, 78)(13, 69, 28, 84, 43, 99, 53, 109, 48, 104, 37, 93, 23, 79)(15, 71, 24, 80, 38, 94, 49, 105, 54, 110, 45, 101, 30, 86)(26, 82, 39, 95, 50, 106, 55, 111, 56, 112, 52, 108, 41, 97)(113, 169, 115, 171)(114, 170, 120, 176)(116, 172, 125, 181)(117, 173, 124, 180)(118, 174, 123, 179)(119, 175, 131, 187)(121, 177, 135, 191)(122, 178, 134, 190)(126, 182, 140, 196)(127, 183, 138, 194)(128, 184, 139, 195)(129, 185, 137, 193)(130, 186, 145, 201)(132, 188, 149, 205)(133, 189, 148, 204)(136, 192, 151, 207)(141, 197, 155, 211)(142, 198, 153, 209)(143, 199, 154, 210)(144, 200, 152, 208)(146, 202, 160, 216)(147, 203, 159, 215)(150, 206, 162, 218)(156, 212, 165, 221)(157, 213, 164, 220)(158, 214, 163, 219)(161, 217, 167, 223)(166, 222, 168, 224)
	L = (1, 116)(2, 121)(3, 123)(4, 127)(5, 126)(6, 113)(7, 132)(8, 134)(9, 136)(10, 114)(11, 138)(12, 137)(13, 115)(14, 142)(15, 118)(16, 141)(17, 117)(18, 146)(19, 148)(20, 150)(21, 119)(22, 151)(23, 120)(24, 122)(25, 153)(26, 125)(27, 152)(28, 124)(29, 157)(30, 129)(31, 156)(32, 128)(33, 159)(34, 161)(35, 130)(36, 162)(37, 131)(38, 133)(39, 135)(40, 164)(41, 140)(42, 163)(43, 139)(44, 166)(45, 144)(46, 143)(47, 167)(48, 145)(49, 147)(50, 149)(51, 168)(52, 155)(53, 154)(54, 158)(55, 160)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.868
Graph:: simple bipartite
	v = 36 e = 112 f = 42
	degree seq :: [ 4^28, 14^8 ]

E18.870 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {7, 8, 8})
Quotient :: edge
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^7, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 35, 25, 13, 5)(2, 7, 17, 30, 43, 31, 18, 8)(4, 9, 20, 34, 46, 38, 24, 12)(6, 15, 28, 41, 51, 42, 29, 16)(11, 19, 33, 45, 53, 48, 37, 23)(14, 26, 39, 49, 55, 50, 40, 27)(22, 32, 44, 52, 56, 54, 47, 36)(57, 58, 62, 70, 78, 67, 60)(59, 65, 75, 88, 82, 71, 63)(61, 68, 79, 92, 83, 72, 64)(66, 73, 84, 95, 100, 89, 76)(69, 74, 85, 96, 103, 93, 80)(77, 90, 101, 108, 105, 97, 86)(81, 94, 104, 110, 106, 98, 87)(91, 99, 107, 111, 112, 109, 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) :: { ( 16^7 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E18.871
Transitivity :: ET+
Graph:: simple bipartite
	v = 15 e = 56 f = 7
	degree seq :: [ 7^8, 8^7 ]

E18.871 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {7, 8, 8})
Quotient :: loop
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T1^7, T2^8 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 21, 77, 35, 91, 25, 81, 13, 69, 5, 61)(2, 58, 7, 63, 17, 73, 30, 86, 43, 99, 31, 87, 18, 74, 8, 64)(4, 60, 9, 65, 20, 76, 34, 90, 46, 102, 38, 94, 24, 80, 12, 68)(6, 62, 15, 71, 28, 84, 41, 97, 51, 107, 42, 98, 29, 85, 16, 72)(11, 67, 19, 75, 33, 89, 45, 101, 53, 109, 48, 104, 37, 93, 23, 79)(14, 70, 26, 82, 39, 95, 49, 105, 55, 111, 50, 106, 40, 96, 27, 83)(22, 78, 32, 88, 44, 100, 52, 108, 56, 112, 54, 110, 47, 103, 36, 92)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 68)(6, 70)(7, 59)(8, 61)(9, 75)(10, 73)(11, 60)(12, 79)(13, 74)(14, 78)(15, 63)(16, 64)(17, 84)(18, 85)(19, 88)(20, 66)(21, 90)(22, 67)(23, 92)(24, 69)(25, 94)(26, 71)(27, 72)(28, 95)(29, 96)(30, 77)(31, 81)(32, 82)(33, 76)(34, 101)(35, 99)(36, 83)(37, 80)(38, 104)(39, 100)(40, 103)(41, 86)(42, 87)(43, 107)(44, 89)(45, 108)(46, 91)(47, 93)(48, 110)(49, 97)(50, 98)(51, 111)(52, 105)(53, 102)(54, 106)(55, 112)(56, 109)
	local type(s) :: { ( 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8, 7, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.870
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 56 f = 15
	degree seq :: [ 16^7 ]

E18.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 8})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^7, Y2^8, (Y2^-1 * Y1)^8 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 22, 78, 11, 67, 4, 60)(3, 59, 9, 65, 19, 75, 32, 88, 26, 82, 15, 71, 7, 63)(5, 61, 12, 68, 23, 79, 36, 92, 27, 83, 16, 72, 8, 64)(10, 66, 17, 73, 28, 84, 39, 95, 44, 100, 33, 89, 20, 76)(13, 69, 18, 74, 29, 85, 40, 96, 47, 103, 37, 93, 24, 80)(21, 77, 34, 90, 45, 101, 52, 108, 49, 105, 41, 97, 30, 86)(25, 81, 38, 94, 48, 104, 54, 110, 50, 106, 42, 98, 31, 87)(35, 91, 43, 99, 51, 107, 55, 111, 56, 112, 53, 109, 46, 102)(113, 169, 115, 171, 122, 178, 133, 189, 147, 203, 137, 193, 125, 181, 117, 173)(114, 170, 119, 175, 129, 185, 142, 198, 155, 211, 143, 199, 130, 186, 120, 176)(116, 172, 121, 177, 132, 188, 146, 202, 158, 214, 150, 206, 136, 192, 124, 180)(118, 174, 127, 183, 140, 196, 153, 209, 163, 219, 154, 210, 141, 197, 128, 184)(123, 179, 131, 187, 145, 201, 157, 213, 165, 221, 160, 216, 149, 205, 135, 191)(126, 182, 138, 194, 151, 207, 161, 217, 167, 223, 162, 218, 152, 208, 139, 195)(134, 190, 144, 200, 156, 212, 164, 220, 168, 224, 166, 222, 159, 215, 148, 204)
	L = (1, 116)(2, 113)(3, 119)(4, 123)(5, 120)(6, 114)(7, 127)(8, 128)(9, 115)(10, 132)(11, 134)(12, 117)(13, 136)(14, 118)(15, 138)(16, 139)(17, 122)(18, 125)(19, 121)(20, 145)(21, 142)(22, 126)(23, 124)(24, 149)(25, 143)(26, 144)(27, 148)(28, 129)(29, 130)(30, 153)(31, 154)(32, 131)(33, 156)(34, 133)(35, 158)(36, 135)(37, 159)(38, 137)(39, 140)(40, 141)(41, 161)(42, 162)(43, 147)(44, 151)(45, 146)(46, 165)(47, 152)(48, 150)(49, 164)(50, 166)(51, 155)(52, 157)(53, 168)(54, 160)(55, 163)(56, 167)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 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 E18.873
Graph:: bipartite
	v = 15 e = 112 f = 63
	degree seq :: [ 14^8, 16^7 ]

E18.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {7, 8, 8})
Quotient :: dipole
Aut^+ = C7 : C8 (small group id <56, 1>)
Aut   = (C7 x D8) : C2 (small group id <112, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3 * Y2^-1)^7 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 14, 70, 26, 82, 24, 80, 12, 68, 4, 60)(3, 59, 8, 64, 15, 71, 28, 84, 39, 95, 35, 91, 21, 77, 10, 66)(5, 61, 7, 63, 16, 72, 27, 83, 40, 96, 38, 94, 23, 79, 11, 67)(9, 65, 18, 74, 29, 85, 42, 98, 49, 105, 46, 102, 34, 90, 20, 76)(13, 69, 17, 73, 30, 86, 41, 97, 50, 106, 48, 104, 37, 93, 22, 78)(19, 75, 32, 88, 43, 99, 52, 108, 55, 111, 53, 109, 45, 101, 33, 89)(25, 81, 31, 87, 44, 100, 51, 107, 56, 112, 54, 110, 47, 103, 36, 92)(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, 123)(5, 113)(6, 127)(7, 129)(8, 114)(9, 131)(10, 116)(11, 134)(12, 133)(13, 117)(14, 139)(15, 141)(16, 118)(17, 143)(18, 120)(19, 137)(20, 122)(21, 146)(22, 148)(23, 124)(24, 150)(25, 125)(26, 151)(27, 153)(28, 126)(29, 155)(30, 128)(31, 144)(32, 130)(33, 132)(34, 157)(35, 136)(36, 145)(37, 135)(38, 160)(39, 161)(40, 138)(41, 163)(42, 140)(43, 156)(44, 142)(45, 159)(46, 147)(47, 149)(48, 166)(49, 167)(50, 152)(51, 164)(52, 154)(53, 158)(54, 165)(55, 168)(56, 162)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 14, 16 ), ( 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16, 14, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.872
Graph:: simple bipartite
	v = 63 e = 112 f = 15
	degree seq :: [ 2^56, 16^7 ]

E18.874 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 14, 14})
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 * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^14 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 54, 48, 40, 32, 24, 16, 8)(4, 9, 17, 25, 33, 41, 49, 55, 51, 43, 35, 27, 19, 11)(6, 13, 21, 29, 37, 45, 52, 56, 53, 46, 38, 30, 22, 14)(57, 58, 62, 60)(59, 65, 69, 63)(61, 67, 70, 64)(66, 71, 77, 73)(68, 72, 78, 75)(74, 81, 85, 79)(76, 83, 86, 80)(82, 87, 93, 89)(84, 88, 94, 91)(90, 97, 101, 95)(92, 99, 102, 96)(98, 103, 108, 105)(100, 104, 109, 107)(106, 111, 112, 110)
	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) :: { ( 28^4 ), ( 28^14 ) }
Outer automorphisms :: reflexible
Dual of E18.875
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 56 f = 4
	degree seq :: [ 4^14, 14^4 ]

E18.875 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 14, 14})
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 * T2)^2, (F * T1)^2, T1^4, T2 * T1^-1 * T2^-1 * T1^-1, T2^14 ]
Map:: non-degenerate
	R = (1, 57, 3, 59, 10, 66, 18, 74, 26, 82, 34, 90, 42, 98, 50, 106, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 5, 61)(2, 58, 7, 63, 15, 71, 23, 79, 31, 87, 39, 95, 47, 103, 54, 110, 48, 104, 40, 96, 32, 88, 24, 80, 16, 72, 8, 64)(4, 60, 9, 65, 17, 73, 25, 81, 33, 89, 41, 97, 49, 105, 55, 111, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67)(6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 52, 108, 56, 112, 53, 109, 46, 102, 38, 94, 30, 86, 22, 78, 14, 70)
	L = (1, 58)(2, 62)(3, 65)(4, 57)(5, 67)(6, 60)(7, 59)(8, 61)(9, 69)(10, 71)(11, 70)(12, 72)(13, 63)(14, 64)(15, 77)(16, 78)(17, 66)(18, 81)(19, 68)(20, 83)(21, 73)(22, 75)(23, 74)(24, 76)(25, 85)(26, 87)(27, 86)(28, 88)(29, 79)(30, 80)(31, 93)(32, 94)(33, 82)(34, 97)(35, 84)(36, 99)(37, 89)(38, 91)(39, 90)(40, 92)(41, 101)(42, 103)(43, 102)(44, 104)(45, 95)(46, 96)(47, 108)(48, 109)(49, 98)(50, 111)(51, 100)(52, 105)(53, 107)(54, 106)(55, 112)(56, 110)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.874
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 56 f = 18
	degree seq :: [ 28^4 ]

E18.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 14})
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 * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^14, (Y2^-1 * Y1)^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 4, 60)(3, 59, 9, 65, 13, 69, 7, 63)(5, 61, 11, 67, 14, 70, 8, 64)(10, 66, 15, 71, 21, 77, 17, 73)(12, 68, 16, 72, 22, 78, 19, 75)(18, 74, 25, 81, 29, 85, 23, 79)(20, 76, 27, 83, 30, 86, 24, 80)(26, 82, 31, 87, 37, 93, 33, 89)(28, 84, 32, 88, 38, 94, 35, 91)(34, 90, 41, 97, 45, 101, 39, 95)(36, 92, 43, 99, 46, 102, 40, 96)(42, 98, 47, 103, 52, 108, 49, 105)(44, 100, 48, 104, 53, 109, 51, 107)(50, 106, 55, 111, 56, 112, 54, 110)(113, 169, 115, 171, 122, 178, 130, 186, 138, 194, 146, 202, 154, 210, 162, 218, 156, 212, 148, 204, 140, 196, 132, 188, 124, 180, 117, 173)(114, 170, 119, 175, 127, 183, 135, 191, 143, 199, 151, 207, 159, 215, 166, 222, 160, 216, 152, 208, 144, 200, 136, 192, 128, 184, 120, 176)(116, 172, 121, 177, 129, 185, 137, 193, 145, 201, 153, 209, 161, 217, 167, 223, 163, 219, 155, 211, 147, 203, 139, 195, 131, 187, 123, 179)(118, 174, 125, 181, 133, 189, 141, 197, 149, 205, 157, 213, 164, 220, 168, 224, 165, 221, 158, 214, 150, 206, 142, 198, 134, 190, 126, 182)
	L = (1, 116)(2, 113)(3, 119)(4, 118)(5, 120)(6, 114)(7, 125)(8, 126)(9, 115)(10, 129)(11, 117)(12, 131)(13, 121)(14, 123)(15, 122)(16, 124)(17, 133)(18, 135)(19, 134)(20, 136)(21, 127)(22, 128)(23, 141)(24, 142)(25, 130)(26, 145)(27, 132)(28, 147)(29, 137)(30, 139)(31, 138)(32, 140)(33, 149)(34, 151)(35, 150)(36, 152)(37, 143)(38, 144)(39, 157)(40, 158)(41, 146)(42, 161)(43, 148)(44, 163)(45, 153)(46, 155)(47, 154)(48, 156)(49, 164)(50, 166)(51, 165)(52, 159)(53, 160)(54, 168)(55, 162)(56, 167)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 2, 28, 2, 28, 2, 28, 2, 28 ), ( 2, 28, 2, 28, 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 E18.877
Graph:: bipartite
	v = 18 e = 112 f = 60
	degree seq :: [ 8^14, 28^4 ]

E18.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 14, 14})
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, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^14 ]
Map::
	R = (1, 57, 2, 58, 6, 62, 13, 69, 21, 77, 29, 85, 37, 93, 45, 101, 44, 100, 36, 92, 28, 84, 20, 76, 12, 68, 4, 60)(3, 59, 8, 64, 14, 70, 23, 79, 30, 86, 39, 95, 46, 102, 53, 109, 50, 106, 42, 98, 34, 90, 26, 82, 18, 74, 10, 66)(5, 61, 7, 63, 15, 71, 22, 78, 31, 87, 38, 94, 47, 103, 52, 108, 51, 107, 43, 99, 35, 91, 27, 83, 19, 75, 11, 67)(9, 65, 16, 72, 24, 80, 32, 88, 40, 96, 48, 104, 54, 110, 56, 112, 55, 111, 49, 105, 41, 97, 33, 89, 25, 81, 17, 73)(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, 123)(5, 113)(6, 126)(7, 128)(8, 114)(9, 117)(10, 116)(11, 129)(12, 130)(13, 134)(14, 136)(15, 118)(16, 120)(17, 122)(18, 137)(19, 124)(20, 139)(21, 142)(22, 144)(23, 125)(24, 127)(25, 131)(26, 132)(27, 145)(28, 146)(29, 150)(30, 152)(31, 133)(32, 135)(33, 138)(34, 153)(35, 140)(36, 155)(37, 158)(38, 160)(39, 141)(40, 143)(41, 147)(42, 148)(43, 161)(44, 162)(45, 164)(46, 166)(47, 149)(48, 151)(49, 154)(50, 167)(51, 156)(52, 168)(53, 157)(54, 159)(55, 163)(56, 165)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 8, 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 E18.876
Graph:: simple bipartite
	v = 60 e = 112 f = 18
	degree seq :: [ 2^56, 28^4 ]

E18.878 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 19, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^19 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 56, 57, 52, 46, 40, 34, 28, 22, 16, 10)(58, 59, 61)(60, 63, 66)(62, 64, 67)(65, 69, 72)(68, 70, 73)(71, 75, 78)(74, 76, 79)(77, 81, 84)(80, 82, 85)(83, 87, 90)(86, 88, 91)(89, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 103)(101, 105, 108)(104, 106, 109)(107, 111, 113)(110, 112, 114)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 114^3 ), ( 114^19 ) }
Outer automorphisms :: reflexible
Dual of E18.882
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 57 f = 1
	degree seq :: [ 3^19, 19^3 ]

E18.879 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 19, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^3, T1^-1 * T2^18, T1^7 * T2^-1 * T1^2 * T2^-8 * T1, T1^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 52, 48, 41, 34, 30, 23, 14, 13, 5)(58, 59, 63, 71, 79, 85, 91, 97, 103, 109, 112, 108, 101, 94, 90, 83, 76, 68, 61)(60, 64, 72, 70, 75, 81, 87, 93, 99, 105, 111, 114, 107, 100, 96, 89, 82, 78, 67)(62, 65, 73, 80, 86, 92, 98, 104, 110, 113, 106, 102, 95, 88, 84, 77, 66, 74, 69)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 6^19 ), ( 6^57 ) }
Outer automorphisms :: reflexible
Dual of E18.883
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 57 f = 19
	degree seq :: [ 19^3, 57 ]

E18.880 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 19, 57})
Quotient :: edge
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-1 * T1^-19, (T1^-1 * T2^-1)^19 ]
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, 54)(58, 59, 63, 69, 75, 81, 87, 93, 99, 105, 111, 110, 104, 98, 92, 86, 80, 74, 68, 62, 65, 71, 77, 83, 89, 95, 101, 107, 113, 114, 108, 102, 96, 90, 84, 78, 72, 66, 60, 64, 70, 76, 82, 88, 94, 100, 106, 112, 109, 103, 97, 91, 85, 79, 73, 67, 61)
	L = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)
	local type(s) :: { ( 38^3 ), ( 38^57 ) }
Outer automorphisms :: reflexible
Dual of E18.881
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 57 f = 3
	degree seq :: [ 3^19, 57 ]

E18.881 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 19, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^19 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 8, 65, 14, 71, 20, 77, 26, 83, 32, 89, 38, 95, 44, 101, 50, 107, 53, 110, 47, 104, 41, 98, 35, 92, 29, 86, 23, 80, 17, 74, 11, 68, 5, 62)(2, 59, 6, 63, 12, 69, 18, 75, 24, 81, 30, 87, 36, 93, 42, 99, 48, 105, 54, 111, 55, 112, 49, 106, 43, 100, 37, 94, 31, 88, 25, 82, 19, 76, 13, 70, 7, 64)(4, 61, 9, 66, 15, 72, 21, 78, 27, 84, 33, 90, 39, 96, 45, 102, 51, 108, 56, 113, 57, 114, 52, 109, 46, 103, 40, 97, 34, 91, 28, 85, 22, 79, 16, 73, 10, 67)
	L = (1, 59)(2, 61)(3, 63)(4, 58)(5, 64)(6, 66)(7, 67)(8, 69)(9, 60)(10, 62)(11, 70)(12, 72)(13, 73)(14, 75)(15, 65)(16, 68)(17, 76)(18, 78)(19, 79)(20, 81)(21, 71)(22, 74)(23, 82)(24, 84)(25, 85)(26, 87)(27, 77)(28, 80)(29, 88)(30, 90)(31, 91)(32, 93)(33, 83)(34, 86)(35, 94)(36, 96)(37, 97)(38, 99)(39, 89)(40, 92)(41, 100)(42, 102)(43, 103)(44, 105)(45, 95)(46, 98)(47, 106)(48, 108)(49, 109)(50, 111)(51, 101)(52, 104)(53, 112)(54, 113)(55, 114)(56, 107)(57, 110)
	local type(s) :: { ( 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57, 3, 57 ) }
Outer automorphisms :: reflexible
Dual of E18.880
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 57 f = 20
	degree seq :: [ 38^3 ]

E18.882 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 19, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^3 * T1^3, T1^-1 * T2^18, T1^7 * T2^-1 * T1^2 * T2^-8 * T1, T1^19 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 9, 66, 19, 76, 25, 82, 31, 88, 37, 94, 43, 100, 49, 106, 55, 112, 54, 111, 47, 104, 40, 97, 36, 93, 29, 86, 22, 79, 18, 75, 8, 65, 2, 59, 7, 64, 17, 74, 11, 68, 21, 78, 27, 84, 33, 90, 39, 96, 45, 102, 51, 108, 57, 114, 53, 110, 46, 103, 42, 99, 35, 92, 28, 85, 24, 81, 16, 73, 6, 63, 15, 72, 12, 69, 4, 61, 10, 67, 20, 77, 26, 83, 32, 89, 38, 95, 44, 101, 50, 107, 56, 113, 52, 109, 48, 105, 41, 98, 34, 91, 30, 87, 23, 80, 14, 71, 13, 70, 5, 62)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 71)(7, 72)(8, 73)(9, 74)(10, 60)(11, 61)(12, 62)(13, 75)(14, 79)(15, 70)(16, 80)(17, 69)(18, 81)(19, 68)(20, 66)(21, 67)(22, 85)(23, 86)(24, 87)(25, 78)(26, 76)(27, 77)(28, 91)(29, 92)(30, 93)(31, 84)(32, 82)(33, 83)(34, 97)(35, 98)(36, 99)(37, 90)(38, 88)(39, 89)(40, 103)(41, 104)(42, 105)(43, 96)(44, 94)(45, 95)(46, 109)(47, 110)(48, 111)(49, 102)(50, 100)(51, 101)(52, 112)(53, 113)(54, 114)(55, 108)(56, 106)(57, 107)
	local type(s) :: { ( 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19, 3, 19 ) }
Outer automorphisms :: reflexible
Dual of E18.878
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 57 f = 22
	degree seq :: [ 114 ]

E18.883 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 19, 57})
Quotient :: loop
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2^-1 * T1^-19, (T1^-1 * T2^-1)^19 ]
Map:: non-degenerate
	R = (1, 58, 3, 60, 5, 62)(2, 59, 7, 64, 8, 65)(4, 61, 9, 66, 11, 68)(6, 63, 13, 70, 14, 71)(10, 67, 15, 72, 17, 74)(12, 69, 19, 76, 20, 77)(16, 73, 21, 78, 23, 80)(18, 75, 25, 82, 26, 83)(22, 79, 27, 84, 29, 86)(24, 81, 31, 88, 32, 89)(28, 85, 33, 90, 35, 92)(30, 87, 37, 94, 38, 95)(34, 91, 39, 96, 41, 98)(36, 93, 43, 100, 44, 101)(40, 97, 45, 102, 47, 104)(42, 99, 49, 106, 50, 107)(46, 103, 51, 108, 53, 110)(48, 105, 55, 112, 56, 113)(52, 109, 57, 114, 54, 111)
	L = (1, 59)(2, 63)(3, 64)(4, 58)(5, 65)(6, 69)(7, 70)(8, 71)(9, 60)(10, 61)(11, 62)(12, 75)(13, 76)(14, 77)(15, 66)(16, 67)(17, 68)(18, 81)(19, 82)(20, 83)(21, 72)(22, 73)(23, 74)(24, 87)(25, 88)(26, 89)(27, 78)(28, 79)(29, 80)(30, 93)(31, 94)(32, 95)(33, 84)(34, 85)(35, 86)(36, 99)(37, 100)(38, 101)(39, 90)(40, 91)(41, 92)(42, 105)(43, 106)(44, 107)(45, 96)(46, 97)(47, 98)(48, 111)(49, 112)(50, 113)(51, 102)(52, 103)(53, 104)(54, 110)(55, 109)(56, 114)(57, 108)
	local type(s) :: { ( 19, 57, 19, 57, 19, 57 ) }
Outer automorphisms :: reflexible
Dual of E18.879
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 57 f = 4
	degree seq :: [ 6^19 ]

E18.884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^19, Y3^57 ]
Map::
	R = (1, 58, 2, 59, 4, 61)(3, 60, 6, 63, 9, 66)(5, 62, 7, 64, 10, 67)(8, 65, 12, 69, 15, 72)(11, 68, 13, 70, 16, 73)(14, 71, 18, 75, 21, 78)(17, 74, 19, 76, 22, 79)(20, 77, 24, 81, 27, 84)(23, 80, 25, 82, 28, 85)(26, 83, 30, 87, 33, 90)(29, 86, 31, 88, 34, 91)(32, 89, 36, 93, 39, 96)(35, 92, 37, 94, 40, 97)(38, 95, 42, 99, 45, 102)(41, 98, 43, 100, 46, 103)(44, 101, 48, 105, 51, 108)(47, 104, 49, 106, 52, 109)(50, 107, 54, 111, 56, 113)(53, 110, 55, 112, 57, 114)(115, 172, 117, 174, 122, 179, 128, 185, 134, 191, 140, 197, 146, 203, 152, 209, 158, 215, 164, 221, 167, 224, 161, 218, 155, 212, 149, 206, 143, 200, 137, 194, 131, 188, 125, 182, 119, 176)(116, 173, 120, 177, 126, 183, 132, 189, 138, 195, 144, 201, 150, 207, 156, 213, 162, 219, 168, 225, 169, 226, 163, 220, 157, 214, 151, 208, 145, 202, 139, 196, 133, 190, 127, 184, 121, 178)(118, 175, 123, 180, 129, 186, 135, 192, 141, 198, 147, 204, 153, 210, 159, 216, 165, 222, 170, 227, 171, 228, 166, 223, 160, 217, 154, 211, 148, 205, 142, 199, 136, 193, 130, 187, 124, 181)
	L = (1, 118)(2, 115)(3, 123)(4, 116)(5, 124)(6, 117)(7, 119)(8, 129)(9, 120)(10, 121)(11, 130)(12, 122)(13, 125)(14, 135)(15, 126)(16, 127)(17, 136)(18, 128)(19, 131)(20, 141)(21, 132)(22, 133)(23, 142)(24, 134)(25, 137)(26, 147)(27, 138)(28, 139)(29, 148)(30, 140)(31, 143)(32, 153)(33, 144)(34, 145)(35, 154)(36, 146)(37, 149)(38, 159)(39, 150)(40, 151)(41, 160)(42, 152)(43, 155)(44, 165)(45, 156)(46, 157)(47, 166)(48, 158)(49, 161)(50, 170)(51, 162)(52, 163)(53, 171)(54, 164)(55, 167)(56, 168)(57, 169)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 114, 2, 114, 2, 114 ), ( 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114, 2, 114 ) }
Outer automorphisms :: reflexible
Dual of E18.887
Graph:: bipartite
	v = 22 e = 114 f = 58
	degree seq :: [ 6^19, 38^3 ]

E18.885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), Y2^3 * Y1^3, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^18, Y1^19 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 22, 79, 28, 85, 34, 91, 40, 97, 46, 103, 52, 109, 55, 112, 51, 108, 44, 101, 37, 94, 33, 90, 26, 83, 19, 76, 11, 68, 4, 61)(3, 60, 7, 64, 15, 72, 13, 70, 18, 75, 24, 81, 30, 87, 36, 93, 42, 99, 48, 105, 54, 111, 57, 114, 50, 107, 43, 100, 39, 96, 32, 89, 25, 82, 21, 78, 10, 67)(5, 62, 8, 65, 16, 73, 23, 80, 29, 86, 35, 92, 41, 98, 47, 104, 53, 110, 56, 113, 49, 106, 45, 102, 38, 95, 31, 88, 27, 84, 20, 77, 9, 66, 17, 74, 12, 69)(115, 172, 117, 174, 123, 180, 133, 190, 139, 196, 145, 202, 151, 208, 157, 214, 163, 220, 169, 226, 168, 225, 161, 218, 154, 211, 150, 207, 143, 200, 136, 193, 132, 189, 122, 179, 116, 173, 121, 178, 131, 188, 125, 182, 135, 192, 141, 198, 147, 204, 153, 210, 159, 216, 165, 222, 171, 228, 167, 224, 160, 217, 156, 213, 149, 206, 142, 199, 138, 195, 130, 187, 120, 177, 129, 186, 126, 183, 118, 175, 124, 181, 134, 191, 140, 197, 146, 203, 152, 209, 158, 215, 164, 221, 170, 227, 166, 223, 162, 219, 155, 212, 148, 205, 144, 201, 137, 194, 128, 185, 127, 184, 119, 176)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 127)(15, 126)(16, 120)(17, 125)(18, 122)(19, 139)(20, 140)(21, 141)(22, 132)(23, 128)(24, 130)(25, 145)(26, 146)(27, 147)(28, 138)(29, 136)(30, 137)(31, 151)(32, 152)(33, 153)(34, 144)(35, 142)(36, 143)(37, 157)(38, 158)(39, 159)(40, 150)(41, 148)(42, 149)(43, 163)(44, 164)(45, 165)(46, 156)(47, 154)(48, 155)(49, 169)(50, 170)(51, 171)(52, 162)(53, 160)(54, 161)(55, 168)(56, 166)(57, 167)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 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 E18.886
Graph:: bipartite
	v = 4 e = 114 f = 76
	degree seq :: [ 38^3, 114 ]

E18.886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-1 * Y3^19, 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 * Y3^2, (Y3^-1 * Y1^-1)^57 ]
Map::
	R = (1, 58)(2, 59)(3, 60)(4, 61)(5, 62)(6, 63)(7, 64)(8, 65)(9, 66)(10, 67)(11, 68)(12, 69)(13, 70)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 77)(21, 78)(22, 79)(23, 80)(24, 81)(25, 82)(26, 83)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 89)(33, 90)(34, 91)(35, 92)(36, 93)(37, 94)(38, 95)(39, 96)(40, 97)(41, 98)(42, 99)(43, 100)(44, 101)(45, 102)(46, 103)(47, 104)(48, 105)(49, 106)(50, 107)(51, 108)(52, 109)(53, 110)(54, 111)(55, 112)(56, 113)(57, 114)(115, 172, 116, 173, 118, 175)(117, 174, 120, 177, 123, 180)(119, 176, 121, 178, 124, 181)(122, 179, 126, 183, 129, 186)(125, 182, 127, 184, 130, 187)(128, 185, 132, 189, 135, 192)(131, 188, 133, 190, 136, 193)(134, 191, 138, 195, 141, 198)(137, 194, 139, 196, 142, 199)(140, 197, 144, 201, 147, 204)(143, 200, 145, 202, 148, 205)(146, 203, 150, 207, 153, 210)(149, 206, 151, 208, 154, 211)(152, 209, 156, 213, 159, 216)(155, 212, 157, 214, 160, 217)(158, 215, 162, 219, 165, 222)(161, 218, 163, 220, 166, 223)(164, 221, 168, 225, 170, 227)(167, 224, 169, 226, 171, 228)
	L = (1, 117)(2, 120)(3, 122)(4, 123)(5, 115)(6, 126)(7, 116)(8, 128)(9, 129)(10, 118)(11, 119)(12, 132)(13, 121)(14, 134)(15, 135)(16, 124)(17, 125)(18, 138)(19, 127)(20, 140)(21, 141)(22, 130)(23, 131)(24, 144)(25, 133)(26, 146)(27, 147)(28, 136)(29, 137)(30, 150)(31, 139)(32, 152)(33, 153)(34, 142)(35, 143)(36, 156)(37, 145)(38, 158)(39, 159)(40, 148)(41, 149)(42, 162)(43, 151)(44, 164)(45, 165)(46, 154)(47, 155)(48, 168)(49, 157)(50, 169)(51, 170)(52, 160)(53, 161)(54, 171)(55, 163)(56, 167)(57, 166)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 38, 114 ), ( 38, 114, 38, 114, 38, 114 ) }
Outer automorphisms :: reflexible
Dual of E18.885
Graph:: simple bipartite
	v = 76 e = 114 f = 4
	degree seq :: [ 2^57, 6^19 ]

E18.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-19, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 12, 69, 18, 75, 24, 81, 30, 87, 36, 93, 42, 99, 48, 105, 54, 111, 53, 110, 47, 104, 41, 98, 35, 92, 29, 86, 23, 80, 17, 74, 11, 68, 5, 62, 8, 65, 14, 71, 20, 77, 26, 83, 32, 89, 38, 95, 44, 101, 50, 107, 56, 113, 57, 114, 51, 108, 45, 102, 39, 96, 33, 90, 27, 84, 21, 78, 15, 72, 9, 66, 3, 60, 7, 64, 13, 70, 19, 76, 25, 82, 31, 88, 37, 94, 43, 100, 49, 106, 55, 112, 52, 109, 46, 103, 40, 97, 34, 91, 28, 85, 22, 79, 16, 73, 10, 67, 4, 61)(115, 172)(116, 173)(117, 174)(118, 175)(119, 176)(120, 177)(121, 178)(122, 179)(123, 180)(124, 181)(125, 182)(126, 183)(127, 184)(128, 185)(129, 186)(130, 187)(131, 188)(132, 189)(133, 190)(134, 191)(135, 192)(136, 193)(137, 194)(138, 195)(139, 196)(140, 197)(141, 198)(142, 199)(143, 200)(144, 201)(145, 202)(146, 203)(147, 204)(148, 205)(149, 206)(150, 207)(151, 208)(152, 209)(153, 210)(154, 211)(155, 212)(156, 213)(157, 214)(158, 215)(159, 216)(160, 217)(161, 218)(162, 219)(163, 220)(164, 221)(165, 222)(166, 223)(167, 224)(168, 225)(169, 226)(170, 227)(171, 228)
	L = (1, 117)(2, 121)(3, 119)(4, 123)(5, 115)(6, 127)(7, 122)(8, 116)(9, 125)(10, 129)(11, 118)(12, 133)(13, 128)(14, 120)(15, 131)(16, 135)(17, 124)(18, 139)(19, 134)(20, 126)(21, 137)(22, 141)(23, 130)(24, 145)(25, 140)(26, 132)(27, 143)(28, 147)(29, 136)(30, 151)(31, 146)(32, 138)(33, 149)(34, 153)(35, 142)(36, 157)(37, 152)(38, 144)(39, 155)(40, 159)(41, 148)(42, 163)(43, 158)(44, 150)(45, 161)(46, 165)(47, 154)(48, 169)(49, 164)(50, 156)(51, 167)(52, 171)(53, 160)(54, 166)(55, 170)(56, 162)(57, 168)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 6, 38 ), ( 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38, 6, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.884
Graph:: bipartite
	v = 58 e = 114 f = 22
	degree seq :: [ 2^57, 114 ]

E18.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^3, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y3 * Y2^-19, 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 ]
Map::
	R = (1, 58, 2, 59, 4, 61)(3, 60, 6, 63, 9, 66)(5, 62, 7, 64, 10, 67)(8, 65, 12, 69, 15, 72)(11, 68, 13, 70, 16, 73)(14, 71, 18, 75, 21, 78)(17, 74, 19, 76, 22, 79)(20, 77, 24, 81, 27, 84)(23, 80, 25, 82, 28, 85)(26, 83, 30, 87, 33, 90)(29, 86, 31, 88, 34, 91)(32, 89, 36, 93, 39, 96)(35, 92, 37, 94, 40, 97)(38, 95, 42, 99, 45, 102)(41, 98, 43, 100, 46, 103)(44, 101, 48, 105, 51, 108)(47, 104, 49, 106, 52, 109)(50, 107, 54, 111, 57, 114)(53, 110, 55, 112, 56, 113)(115, 172, 117, 174, 122, 179, 128, 185, 134, 191, 140, 197, 146, 203, 152, 209, 158, 215, 164, 221, 170, 227, 166, 223, 160, 217, 154, 211, 148, 205, 142, 199, 136, 193, 130, 187, 124, 181, 118, 175, 123, 180, 129, 186, 135, 192, 141, 198, 147, 204, 153, 210, 159, 216, 165, 222, 171, 228, 169, 226, 163, 220, 157, 214, 151, 208, 145, 202, 139, 196, 133, 190, 127, 184, 121, 178, 116, 173, 120, 177, 126, 183, 132, 189, 138, 195, 144, 201, 150, 207, 156, 213, 162, 219, 168, 225, 167, 224, 161, 218, 155, 212, 149, 206, 143, 200, 137, 194, 131, 188, 125, 182, 119, 176)
	L = (1, 118)(2, 115)(3, 123)(4, 116)(5, 124)(6, 117)(7, 119)(8, 129)(9, 120)(10, 121)(11, 130)(12, 122)(13, 125)(14, 135)(15, 126)(16, 127)(17, 136)(18, 128)(19, 131)(20, 141)(21, 132)(22, 133)(23, 142)(24, 134)(25, 137)(26, 147)(27, 138)(28, 139)(29, 148)(30, 140)(31, 143)(32, 153)(33, 144)(34, 145)(35, 154)(36, 146)(37, 149)(38, 159)(39, 150)(40, 151)(41, 160)(42, 152)(43, 155)(44, 165)(45, 156)(46, 157)(47, 166)(48, 158)(49, 161)(50, 171)(51, 162)(52, 163)(53, 170)(54, 164)(55, 167)(56, 169)(57, 168)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38 ), ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.889
Graph:: bipartite
	v = 20 e = 114 f = 60
	degree seq :: [ 6^19, 114 ]

E18.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 19, 57})
Quotient :: dipole
Aut^+ = C57 (small group id <57, 2>)
Aut   = D114 (small group id <114, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^18, Y1^8 * Y3^-1 * Y1^2 * Y3^-8, Y1^19, (Y3 * Y2^-1)^57 ]
Map::
	R = (1, 58, 2, 59, 6, 63, 14, 71, 22, 79, 28, 85, 34, 91, 40, 97, 46, 103, 52, 109, 55, 112, 51, 108, 44, 101, 37, 94, 33, 90, 26, 83, 19, 76, 11, 68, 4, 61)(3, 60, 7, 64, 15, 72, 13, 70, 18, 75, 24, 81, 30, 87, 36, 93, 42, 99, 48, 105, 54, 111, 57, 114, 50, 107, 43, 100, 39, 96, 32, 89, 25, 82, 21, 78, 10, 67)(5, 62, 8, 65, 16, 73, 23, 80, 29, 86, 35, 92, 41, 98, 47, 104, 53, 110, 56, 113, 49, 106, 45, 102, 38, 95, 31, 88, 27, 84, 20, 77, 9, 66, 17, 74, 12, 69)(115, 172)(116, 173)(117, 174)(118, 175)(119, 176)(120, 177)(121, 178)(122, 179)(123, 180)(124, 181)(125, 182)(126, 183)(127, 184)(128, 185)(129, 186)(130, 187)(131, 188)(132, 189)(133, 190)(134, 191)(135, 192)(136, 193)(137, 194)(138, 195)(139, 196)(140, 197)(141, 198)(142, 199)(143, 200)(144, 201)(145, 202)(146, 203)(147, 204)(148, 205)(149, 206)(150, 207)(151, 208)(152, 209)(153, 210)(154, 211)(155, 212)(156, 213)(157, 214)(158, 215)(159, 216)(160, 217)(161, 218)(162, 219)(163, 220)(164, 221)(165, 222)(166, 223)(167, 224)(168, 225)(169, 226)(170, 227)(171, 228)
	L = (1, 117)(2, 121)(3, 123)(4, 124)(5, 115)(6, 129)(7, 131)(8, 116)(9, 133)(10, 134)(11, 135)(12, 118)(13, 119)(14, 127)(15, 126)(16, 120)(17, 125)(18, 122)(19, 139)(20, 140)(21, 141)(22, 132)(23, 128)(24, 130)(25, 145)(26, 146)(27, 147)(28, 138)(29, 136)(30, 137)(31, 151)(32, 152)(33, 153)(34, 144)(35, 142)(36, 143)(37, 157)(38, 158)(39, 159)(40, 150)(41, 148)(42, 149)(43, 163)(44, 164)(45, 165)(46, 156)(47, 154)(48, 155)(49, 169)(50, 170)(51, 171)(52, 162)(53, 160)(54, 161)(55, 168)(56, 166)(57, 167)(58, 172)(59, 173)(60, 174)(61, 175)(62, 176)(63, 177)(64, 178)(65, 179)(66, 180)(67, 181)(68, 182)(69, 183)(70, 184)(71, 185)(72, 186)(73, 187)(74, 188)(75, 189)(76, 190)(77, 191)(78, 192)(79, 193)(80, 194)(81, 195)(82, 196)(83, 197)(84, 198)(85, 199)(86, 200)(87, 201)(88, 202)(89, 203)(90, 204)(91, 205)(92, 206)(93, 207)(94, 208)(95, 209)(96, 210)(97, 211)(98, 212)(99, 213)(100, 214)(101, 215)(102, 216)(103, 217)(104, 218)(105, 219)(106, 220)(107, 221)(108, 222)(109, 223)(110, 224)(111, 225)(112, 226)(113, 227)(114, 228)
	local type(s) :: { ( 6, 114 ), ( 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114, 6, 114 ) }
Outer automorphisms :: reflexible
Dual of E18.888
Graph:: simple bipartite
	v = 60 e = 114 f = 20
	degree seq :: [ 2^57, 38^3 ]

E18.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-2 * Y1 * Y2, (Y3^-1 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 12, 72)(5, 65, 13, 73)(6, 66, 14, 74)(7, 67, 17, 77)(8, 68, 18, 78)(10, 70, 16, 76)(11, 71, 15, 75)(19, 79, 25, 85)(20, 80, 26, 86)(21, 81, 27, 87)(22, 82, 28, 88)(23, 83, 29, 89)(24, 84, 30, 90)(31, 91, 37, 97)(32, 92, 38, 98)(33, 93, 39, 99)(34, 94, 40, 100)(35, 95, 41, 101)(36, 96, 42, 102)(43, 103, 49, 109)(44, 104, 50, 110)(45, 105, 51, 111)(46, 106, 52, 112)(47, 107, 53, 113)(48, 108, 54, 114)(55, 115, 58, 118)(56, 116, 60, 120)(57, 117, 59, 119)(121, 181, 123, 183)(122, 182, 126, 186)(124, 184, 130, 190)(125, 185, 131, 191)(127, 187, 135, 195)(128, 188, 136, 196)(129, 189, 139, 199)(132, 192, 141, 201)(133, 193, 140, 200)(134, 194, 142, 202)(137, 197, 144, 204)(138, 198, 143, 203)(145, 205, 151, 211)(146, 206, 153, 213)(147, 207, 152, 212)(148, 208, 154, 214)(149, 209, 156, 216)(150, 210, 155, 215)(157, 217, 163, 223)(158, 218, 165, 225)(159, 219, 164, 224)(160, 220, 166, 226)(161, 221, 168, 228)(162, 222, 167, 227)(169, 229, 175, 235)(170, 230, 177, 237)(171, 231, 176, 236)(172, 232, 178, 238)(173, 233, 180, 240)(174, 234, 179, 239)
	L = (1, 124)(2, 127)(3, 130)(4, 131)(5, 121)(6, 135)(7, 136)(8, 122)(9, 140)(10, 125)(11, 123)(12, 139)(13, 141)(14, 143)(15, 128)(16, 126)(17, 142)(18, 144)(19, 133)(20, 132)(21, 129)(22, 138)(23, 137)(24, 134)(25, 152)(26, 151)(27, 153)(28, 155)(29, 154)(30, 156)(31, 147)(32, 146)(33, 145)(34, 150)(35, 149)(36, 148)(37, 164)(38, 163)(39, 165)(40, 167)(41, 166)(42, 168)(43, 159)(44, 158)(45, 157)(46, 162)(47, 161)(48, 160)(49, 176)(50, 175)(51, 177)(52, 179)(53, 178)(54, 180)(55, 171)(56, 170)(57, 169)(58, 174)(59, 173)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.895
Graph:: simple bipartite
	v = 60 e = 120 f = 26
	degree seq :: [ 4^60 ]

E18.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^10 ]
Map:: polytopal 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, 18, 78)(12, 72, 17, 77)(13, 73, 21, 81)(14, 74, 22, 82)(15, 75, 19, 79)(16, 76, 20, 80)(23, 83, 30, 90)(24, 84, 29, 89)(25, 85, 33, 93)(26, 86, 34, 94)(27, 87, 31, 91)(28, 88, 32, 92)(35, 95, 42, 102)(36, 96, 41, 101)(37, 97, 45, 105)(38, 98, 46, 106)(39, 99, 43, 103)(40, 100, 44, 104)(47, 107, 53, 113)(48, 108, 52, 112)(49, 109, 56, 116)(50, 110, 55, 115)(51, 111, 54, 114)(57, 117, 59, 119)(58, 118, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 133, 193, 131, 191)(126, 186, 135, 195, 132, 192)(128, 188, 139, 199, 137, 197)(130, 190, 141, 201, 138, 198)(134, 194, 143, 203, 145, 205)(136, 196, 144, 204, 147, 207)(140, 200, 149, 209, 151, 211)(142, 202, 150, 210, 153, 213)(146, 206, 157, 217, 155, 215)(148, 208, 159, 219, 156, 216)(152, 212, 163, 223, 161, 221)(154, 214, 165, 225, 162, 222)(158, 218, 167, 227, 169, 229)(160, 220, 168, 228, 171, 231)(164, 224, 172, 232, 174, 234)(166, 226, 173, 233, 176, 236)(170, 230, 178, 238, 177, 237)(175, 235, 180, 240, 179, 239)
	L = (1, 124)(2, 128)(3, 131)(4, 134)(5, 133)(6, 121)(7, 137)(8, 140)(9, 139)(10, 122)(11, 143)(12, 123)(13, 145)(14, 146)(15, 125)(16, 126)(17, 149)(18, 127)(19, 151)(20, 152)(21, 129)(22, 130)(23, 155)(24, 132)(25, 157)(26, 158)(27, 135)(28, 136)(29, 161)(30, 138)(31, 163)(32, 164)(33, 141)(34, 142)(35, 167)(36, 144)(37, 169)(38, 170)(39, 147)(40, 148)(41, 172)(42, 150)(43, 174)(44, 175)(45, 153)(46, 154)(47, 177)(48, 156)(49, 178)(50, 160)(51, 159)(52, 179)(53, 162)(54, 180)(55, 166)(56, 165)(57, 168)(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, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.894
Graph:: simple bipartite
	v = 50 e = 120 f = 36
	degree seq :: [ 4^30, 6^20 ]

E18.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y3^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 21, 81)(12, 72, 19, 79)(13, 73, 18, 78)(14, 74, 22, 82)(15, 75, 17, 77)(16, 76, 20, 80)(23, 83, 33, 93)(24, 84, 31, 91)(25, 85, 30, 90)(26, 86, 34, 94)(27, 87, 29, 89)(28, 88, 32, 92)(35, 95, 45, 105)(36, 96, 43, 103)(37, 97, 42, 102)(38, 98, 46, 106)(39, 99, 41, 101)(40, 100, 44, 104)(47, 107, 56, 116)(48, 108, 54, 114)(49, 109, 53, 113)(50, 110, 55, 115)(51, 111, 52, 112)(57, 117, 60, 120)(58, 118, 59, 119)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 133, 193, 131, 191)(126, 186, 135, 195, 132, 192)(128, 188, 139, 199, 137, 197)(130, 190, 141, 201, 138, 198)(134, 194, 143, 203, 145, 205)(136, 196, 144, 204, 147, 207)(140, 200, 149, 209, 151, 211)(142, 202, 150, 210, 153, 213)(146, 206, 157, 217, 155, 215)(148, 208, 159, 219, 156, 216)(152, 212, 163, 223, 161, 221)(154, 214, 165, 225, 162, 222)(158, 218, 167, 227, 169, 229)(160, 220, 168, 228, 171, 231)(164, 224, 172, 232, 174, 234)(166, 226, 173, 233, 176, 236)(170, 230, 178, 238, 177, 237)(175, 235, 180, 240, 179, 239)
	L = (1, 124)(2, 128)(3, 131)(4, 134)(5, 133)(6, 121)(7, 137)(8, 140)(9, 139)(10, 122)(11, 143)(12, 123)(13, 145)(14, 146)(15, 125)(16, 126)(17, 149)(18, 127)(19, 151)(20, 152)(21, 129)(22, 130)(23, 155)(24, 132)(25, 157)(26, 158)(27, 135)(28, 136)(29, 161)(30, 138)(31, 163)(32, 164)(33, 141)(34, 142)(35, 167)(36, 144)(37, 169)(38, 170)(39, 147)(40, 148)(41, 172)(42, 150)(43, 174)(44, 175)(45, 153)(46, 154)(47, 177)(48, 156)(49, 178)(50, 160)(51, 159)(52, 179)(53, 162)(54, 180)(55, 166)(56, 165)(57, 168)(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, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.893
Graph:: simple bipartite
	v = 50 e = 120 f = 36
	degree seq :: [ 4^30, 6^20 ]

E18.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^2 * Y3, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 49, 109, 46, 106, 33, 93, 15, 75, 5, 65)(3, 63, 11, 71, 27, 87, 43, 103, 55, 115, 58, 118, 50, 110, 36, 96, 20, 80, 8, 68)(4, 64, 14, 74, 6, 66, 18, 78, 21, 81, 39, 99, 51, 111, 47, 107, 32, 92, 16, 76)(9, 69, 24, 84, 10, 70, 26, 86, 37, 97, 53, 113, 48, 108, 34, 94, 17, 77, 25, 85)(12, 72, 29, 89, 13, 73, 31, 91, 44, 104, 57, 117, 59, 119, 54, 114, 38, 98, 30, 90)(22, 82, 40, 100, 23, 83, 42, 102, 28, 88, 45, 105, 56, 116, 60, 120, 52, 112, 41, 101)(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, 143, 203)(130, 190, 142, 202)(134, 194, 149, 209)(135, 195, 147, 207)(136, 196, 151, 211)(137, 197, 148, 208)(138, 198, 150, 210)(139, 199, 156, 216)(141, 201, 158, 218)(144, 204, 160, 220)(145, 205, 162, 222)(146, 206, 161, 221)(152, 212, 164, 224)(153, 213, 163, 223)(154, 214, 165, 225)(155, 215, 170, 230)(157, 217, 172, 232)(159, 219, 174, 234)(166, 226, 175, 235)(167, 227, 177, 237)(168, 228, 176, 236)(169, 229, 178, 238)(171, 231, 179, 239)(173, 233, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 135)(5, 137)(6, 121)(7, 126)(8, 142)(9, 125)(10, 122)(11, 143)(12, 140)(13, 123)(14, 145)(15, 152)(16, 154)(17, 153)(18, 144)(19, 130)(20, 158)(21, 127)(22, 156)(23, 128)(24, 134)(25, 136)(26, 138)(27, 133)(28, 131)(29, 160)(30, 161)(31, 162)(32, 166)(33, 168)(34, 167)(35, 141)(36, 172)(37, 139)(38, 170)(39, 146)(40, 150)(41, 174)(42, 149)(43, 148)(44, 147)(45, 151)(46, 171)(47, 173)(48, 169)(49, 157)(50, 179)(51, 155)(52, 178)(53, 159)(54, 180)(55, 164)(56, 163)(57, 165)(58, 176)(59, 175)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E18.892
Graph:: simple bipartite
	v = 36 e = 120 f = 50
	degree seq :: [ 4^30, 20^6 ]

E18.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y2^2, R^2, Y3 * Y1^2 * Y3, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^2 * Y2 * Y3^-2 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-2 * Y3^4 * Y1^-4 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 7, 67, 21, 81, 37, 97, 49, 109, 46, 106, 35, 95, 16, 76, 5, 65)(3, 63, 11, 71, 31, 91, 43, 103, 55, 115, 60, 120, 50, 110, 41, 101, 22, 82, 13, 73)(4, 64, 15, 75, 6, 66, 20, 80, 23, 83, 42, 102, 51, 111, 47, 107, 34, 94, 17, 77)(8, 68, 24, 84, 18, 78, 32, 92, 45, 105, 56, 116, 58, 118, 53, 113, 38, 98, 26, 86)(9, 69, 28, 88, 10, 70, 30, 90, 39, 99, 54, 114, 48, 108, 36, 96, 19, 79, 29, 89)(12, 72, 27, 87, 14, 74, 33, 93, 44, 104, 57, 117, 59, 119, 52, 112, 40, 100, 25, 85)(121, 181, 123, 183)(122, 182, 128, 188)(124, 184, 134, 194)(125, 185, 138, 198)(126, 186, 132, 192)(127, 187, 142, 202)(129, 189, 147, 207)(130, 190, 145, 205)(131, 191, 149, 209)(133, 193, 148, 208)(135, 195, 144, 204)(136, 196, 151, 211)(137, 197, 152, 212)(139, 199, 153, 213)(140, 200, 146, 206)(141, 201, 158, 218)(143, 203, 160, 220)(150, 210, 161, 221)(154, 214, 164, 224)(155, 215, 165, 225)(156, 216, 163, 223)(157, 217, 170, 230)(159, 219, 172, 232)(162, 222, 173, 233)(166, 226, 175, 235)(167, 227, 176, 236)(168, 228, 177, 237)(169, 229, 178, 238)(171, 231, 179, 239)(174, 234, 180, 240)
	L = (1, 124)(2, 129)(3, 132)(4, 136)(5, 139)(6, 121)(7, 126)(8, 145)(9, 125)(10, 122)(11, 144)(12, 142)(13, 146)(14, 123)(15, 149)(16, 154)(17, 156)(18, 147)(19, 155)(20, 148)(21, 130)(22, 160)(23, 127)(24, 133)(25, 158)(26, 161)(27, 128)(28, 135)(29, 137)(30, 140)(31, 134)(32, 131)(33, 138)(34, 166)(35, 168)(36, 167)(37, 143)(38, 172)(39, 141)(40, 170)(41, 173)(42, 150)(43, 152)(44, 151)(45, 153)(46, 171)(47, 174)(48, 169)(49, 159)(50, 179)(51, 157)(52, 178)(53, 180)(54, 162)(55, 164)(56, 163)(57, 165)(58, 177)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 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 E18.891
Graph:: simple bipartite
	v = 36 e = 120 f = 50
	degree seq :: [ 4^30, 20^6 ]

E18.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = S3 x D10 (small group id <60, 8>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 5, 65)(3, 63, 10, 70, 7, 67)(4, 64, 13, 73, 8, 68)(6, 66, 15, 75, 9, 69)(11, 71, 17, 77, 21, 81)(12, 72, 18, 78, 22, 82)(14, 74, 19, 79, 25, 85)(16, 76, 20, 80, 27, 87)(23, 83, 33, 93, 29, 89)(24, 84, 34, 94, 30, 90)(26, 86, 37, 97, 31, 91)(28, 88, 39, 99, 32, 92)(35, 95, 41, 101, 45, 105)(36, 96, 42, 102, 46, 106)(38, 98, 43, 103, 49, 109)(40, 100, 44, 104, 51, 111)(47, 107, 55, 115, 52, 112)(48, 108, 56, 116, 53, 113)(50, 110, 58, 118, 54, 114)(57, 117, 59, 119, 60, 120)(121, 181, 123, 183, 131, 191, 143, 203, 155, 215, 167, 227, 160, 220, 148, 208, 136, 196, 126, 186)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 164, 224, 152, 212, 140, 200, 129, 189)(124, 184, 134, 194, 146, 206, 158, 218, 170, 230, 177, 237, 168, 228, 156, 216, 144, 204, 132, 192)(125, 185, 130, 190, 141, 201, 153, 213, 165, 225, 175, 235, 171, 231, 159, 219, 147, 207, 135, 195)(128, 188, 139, 199, 151, 211, 163, 223, 174, 234, 179, 239, 173, 233, 162, 222, 150, 210, 138, 198)(133, 193, 145, 205, 157, 217, 169, 229, 178, 238, 180, 240, 176, 236, 166, 226, 154, 214, 142, 202)
	L = (1, 124)(2, 128)(3, 132)(4, 121)(5, 133)(6, 134)(7, 138)(8, 122)(9, 139)(10, 142)(11, 144)(12, 123)(13, 125)(14, 126)(15, 145)(16, 146)(17, 150)(18, 127)(19, 129)(20, 151)(21, 154)(22, 130)(23, 156)(24, 131)(25, 135)(26, 136)(27, 157)(28, 158)(29, 162)(30, 137)(31, 140)(32, 163)(33, 166)(34, 141)(35, 168)(36, 143)(37, 147)(38, 148)(39, 169)(40, 170)(41, 173)(42, 149)(43, 152)(44, 174)(45, 176)(46, 153)(47, 177)(48, 155)(49, 159)(50, 160)(51, 178)(52, 179)(53, 161)(54, 164)(55, 180)(56, 165)(57, 167)(58, 171)(59, 172)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^6 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E18.890
Graph:: simple bipartite
	v = 26 e = 120 f = 60
	degree seq :: [ 6^20, 20^6 ]

E18.896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
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, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^-10 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62)(3, 63, 9, 69)(4, 64, 10, 70)(5, 65, 7, 67)(6, 66, 8, 68)(11, 71, 21, 81)(12, 72, 20, 80)(13, 73, 22, 82)(14, 74, 18, 78)(15, 75, 17, 77)(16, 76, 19, 79)(23, 83, 33, 93)(24, 84, 32, 92)(25, 85, 34, 94)(26, 86, 30, 90)(27, 87, 29, 89)(28, 88, 31, 91)(35, 95, 45, 105)(36, 96, 44, 104)(37, 97, 46, 106)(38, 98, 42, 102)(39, 99, 41, 101)(40, 100, 43, 103)(47, 107, 57, 117)(48, 108, 56, 116)(49, 109, 58, 118)(50, 110, 54, 114)(51, 111, 53, 113)(52, 112, 55, 115)(59, 119, 60, 120)(121, 181, 123, 183, 125, 185)(122, 182, 127, 187, 129, 189)(124, 184, 131, 191, 134, 194)(126, 186, 132, 192, 135, 195)(128, 188, 137, 197, 140, 200)(130, 190, 138, 198, 141, 201)(133, 193, 143, 203, 146, 206)(136, 196, 144, 204, 147, 207)(139, 199, 149, 209, 152, 212)(142, 202, 150, 210, 153, 213)(145, 205, 155, 215, 158, 218)(148, 208, 156, 216, 159, 219)(151, 211, 161, 221, 164, 224)(154, 214, 162, 222, 165, 225)(157, 217, 167, 227, 170, 230)(160, 220, 168, 228, 171, 231)(163, 223, 173, 233, 176, 236)(166, 226, 174, 234, 177, 237)(169, 229, 179, 239, 172, 232)(175, 235, 180, 240, 178, 238)
	L = (1, 124)(2, 128)(3, 131)(4, 133)(5, 134)(6, 121)(7, 137)(8, 139)(9, 140)(10, 122)(11, 143)(12, 123)(13, 145)(14, 146)(15, 125)(16, 126)(17, 149)(18, 127)(19, 151)(20, 152)(21, 129)(22, 130)(23, 155)(24, 132)(25, 157)(26, 158)(27, 135)(28, 136)(29, 161)(30, 138)(31, 163)(32, 164)(33, 141)(34, 142)(35, 167)(36, 144)(37, 169)(38, 170)(39, 147)(40, 148)(41, 173)(42, 150)(43, 175)(44, 176)(45, 153)(46, 154)(47, 179)(48, 156)(49, 168)(50, 172)(51, 159)(52, 160)(53, 180)(54, 162)(55, 174)(56, 178)(57, 165)(58, 166)(59, 171)(60, 177)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.897
Graph:: simple bipartite
	v = 50 e = 120 f = 36
	degree seq :: [ 4^30, 6^20 ]

E18.897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 10})
Quotient :: dipole
Aut^+ = D60 (small group id <60, 12>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y2^2, R^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (Y2 * Y1)^2, Y1^-3 * Y3^-3, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^9, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 61, 2, 62, 7, 67, 19, 79, 35, 95, 49, 109, 47, 107, 32, 92, 16, 76, 5, 65)(3, 63, 11, 71, 27, 87, 43, 103, 55, 115, 58, 118, 50, 110, 36, 96, 20, 80, 8, 68)(4, 64, 9, 69, 21, 81, 18, 78, 26, 86, 40, 100, 53, 113, 46, 106, 34, 94, 15, 75)(6, 66, 10, 70, 22, 82, 37, 97, 51, 111, 48, 108, 33, 93, 14, 74, 25, 85, 17, 77)(12, 72, 28, 88, 42, 102, 31, 91, 45, 105, 57, 117, 59, 119, 52, 112, 38, 98, 23, 83)(13, 73, 29, 89, 44, 104, 56, 116, 60, 120, 54, 114, 41, 101, 30, 90, 39, 99, 24, 84)(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, 165, 225)(154, 214, 164, 224)(155, 215, 170, 230)(157, 217, 172, 232)(160, 220, 174, 234)(166, 226, 176, 236)(167, 227, 175, 235)(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, 152)(15, 153)(16, 154)(17, 125)(18, 126)(19, 138)(20, 158)(21, 137)(22, 127)(23, 161)(24, 128)(25, 136)(26, 130)(27, 162)(28, 159)(29, 131)(30, 156)(31, 133)(32, 166)(33, 167)(34, 168)(35, 146)(36, 172)(37, 139)(38, 174)(39, 140)(40, 142)(41, 170)(42, 144)(43, 151)(44, 147)(45, 149)(46, 171)(47, 173)(48, 169)(49, 160)(50, 179)(51, 155)(52, 180)(53, 157)(54, 178)(55, 165)(56, 163)(57, 164)(58, 177)(59, 176)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4, 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 E18.896
Graph:: simple bipartite
	v = 36 e = 120 f = 50
	degree seq :: [ 4^30, 20^6 ]

E18.898 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 10})
Quotient :: edge
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^6, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 36, 24, 13, 5)(2, 7, 17, 29, 41, 52, 42, 30, 18, 8)(4, 11, 22, 34, 46, 53, 44, 32, 20, 10)(6, 15, 27, 39, 50, 58, 51, 40, 28, 16)(12, 21, 33, 45, 54, 59, 55, 47, 35, 23)(14, 25, 37, 48, 56, 60, 57, 49, 38, 26)(61, 62, 66, 74, 72, 64)(63, 68, 75, 86, 81, 70)(65, 67, 76, 85, 83, 71)(69, 78, 87, 98, 93, 80)(73, 77, 88, 97, 95, 82)(79, 90, 99, 109, 105, 92)(84, 89, 100, 108, 107, 94)(91, 102, 110, 117, 114, 104)(96, 101, 111, 116, 115, 106)(103, 112, 118, 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) :: { ( 12^6 ), ( 12^10 ) }
Outer automorphisms :: reflexible
Dual of E18.899
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 60 f = 10
	degree seq :: [ 6^10, 10^6 ]

E18.899 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 10})
Quotient :: loop
Aut^+ = C6 x D10 (small group id <60, 10>)
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^-2 * T2^4, (T2 * T1)^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 10, 70, 15, 75, 6, 66, 5, 65)(2, 62, 7, 67, 4, 64, 12, 72, 14, 74, 8, 68)(9, 69, 19, 79, 11, 71, 21, 81, 13, 73, 20, 80)(16, 76, 22, 82, 17, 77, 24, 84, 18, 78, 23, 83)(25, 85, 31, 91, 26, 86, 33, 93, 27, 87, 32, 92)(28, 88, 34, 94, 29, 89, 36, 96, 30, 90, 35, 95)(37, 97, 43, 103, 38, 98, 45, 105, 39, 99, 44, 104)(40, 100, 46, 106, 41, 101, 48, 108, 42, 102, 47, 107)(49, 109, 55, 115, 50, 110, 57, 117, 51, 111, 56, 116)(52, 112, 58, 118, 53, 113, 60, 120, 54, 114, 59, 119)
	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, 70)(15, 71)(16, 68)(17, 67)(18, 72)(19, 85)(20, 87)(21, 86)(22, 88)(23, 90)(24, 89)(25, 80)(26, 79)(27, 81)(28, 83)(29, 82)(30, 84)(31, 97)(32, 99)(33, 98)(34, 100)(35, 102)(36, 101)(37, 92)(38, 91)(39, 93)(40, 95)(41, 94)(42, 96)(43, 109)(44, 111)(45, 110)(46, 112)(47, 114)(48, 113)(49, 104)(50, 103)(51, 105)(52, 107)(53, 106)(54, 108)(55, 118)(56, 119)(57, 120)(58, 116)(59, 117)(60, 115)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E18.898
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 16
	degree seq :: [ 12^10 ]

E18.900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^6, Y2^10, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 12, 72, 4, 64)(3, 63, 8, 68, 15, 75, 26, 86, 21, 81, 10, 70)(5, 65, 7, 67, 16, 76, 25, 85, 23, 83, 11, 71)(9, 69, 18, 78, 27, 87, 38, 98, 33, 93, 20, 80)(13, 73, 17, 77, 28, 88, 37, 97, 35, 95, 22, 82)(19, 79, 30, 90, 39, 99, 49, 109, 45, 105, 32, 92)(24, 84, 29, 89, 40, 100, 48, 108, 47, 107, 34, 94)(31, 91, 42, 102, 50, 110, 57, 117, 54, 114, 44, 104)(36, 96, 41, 101, 51, 111, 56, 116, 55, 115, 46, 106)(43, 103, 52, 112, 58, 118, 60, 120, 59, 119, 53, 113)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 162, 222, 150, 210, 138, 198, 128, 188)(124, 184, 131, 191, 142, 202, 154, 214, 166, 226, 173, 233, 164, 224, 152, 212, 140, 200, 130, 190)(126, 186, 135, 195, 147, 207, 159, 219, 170, 230, 178, 238, 171, 231, 160, 220, 148, 208, 136, 196)(132, 192, 141, 201, 153, 213, 165, 225, 174, 234, 179, 239, 175, 235, 167, 227, 155, 215, 143, 203)(134, 194, 145, 205, 157, 217, 168, 228, 176, 236, 180, 240, 177, 237, 169, 229, 158, 218, 146, 206)
	L = (1, 123)(2, 127)(3, 129)(4, 131)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 124)(11, 142)(12, 141)(13, 125)(14, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 130)(21, 153)(22, 154)(23, 132)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 140)(33, 165)(34, 166)(35, 143)(36, 144)(37, 168)(38, 146)(39, 170)(40, 148)(41, 172)(42, 150)(43, 156)(44, 152)(45, 174)(46, 173)(47, 155)(48, 176)(49, 158)(50, 178)(51, 160)(52, 162)(53, 164)(54, 179)(55, 167)(56, 180)(57, 169)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 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 E18.901
Graph:: bipartite
	v = 16 e = 120 f = 70
	degree seq :: [ 12^10, 20^6 ]

E18.901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 10})
Quotient :: dipole
Aut^+ = C6 x D10 (small group id <60, 10>)
Aut   = C2 x S3 x D10 (small group id <120, 42>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y3^4 * Y2 * Y3^-6 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
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, 132, 192, 124, 184)(123, 183, 128, 188, 135, 195, 146, 206, 141, 201, 130, 190)(125, 185, 127, 187, 136, 196, 145, 205, 143, 203, 131, 191)(129, 189, 138, 198, 147, 207, 158, 218, 153, 213, 140, 200)(133, 193, 137, 197, 148, 208, 157, 217, 155, 215, 142, 202)(139, 199, 150, 210, 159, 219, 169, 229, 165, 225, 152, 212)(144, 204, 149, 209, 160, 220, 168, 228, 167, 227, 154, 214)(151, 211, 162, 222, 170, 230, 177, 237, 174, 234, 164, 224)(156, 216, 161, 221, 171, 231, 176, 236, 175, 235, 166, 226)(163, 223, 172, 232, 178, 238, 180, 240, 179, 239, 173, 233)
	L = (1, 123)(2, 127)(3, 129)(4, 131)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 124)(11, 142)(12, 141)(13, 125)(14, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 130)(21, 153)(22, 154)(23, 132)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 140)(33, 165)(34, 166)(35, 143)(36, 144)(37, 168)(38, 146)(39, 170)(40, 148)(41, 172)(42, 150)(43, 156)(44, 152)(45, 174)(46, 173)(47, 155)(48, 176)(49, 158)(50, 178)(51, 160)(52, 162)(53, 164)(54, 179)(55, 167)(56, 180)(57, 169)(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) :: { ( 12, 20 ), ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.900
Graph:: simple bipartite
	v = 70 e = 120 f = 16
	degree seq :: [ 2^60, 12^10 ]

E18.902 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 20, 20})
Quotient :: edge
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 59, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 8, 14, 20, 26, 32, 38, 44, 50, 56, 60, 58, 52, 46, 40, 34, 28, 22, 16, 10)(61, 62, 64)(63, 68, 66)(65, 70, 67)(69, 72, 74)(71, 73, 76)(75, 80, 78)(77, 82, 79)(81, 84, 86)(83, 85, 88)(87, 92, 90)(89, 94, 91)(93, 96, 98)(95, 97, 100)(99, 104, 102)(101, 106, 103)(105, 108, 110)(107, 109, 112)(111, 116, 114)(113, 118, 115)(117, 119, 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) :: { ( 40^3 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.903
Transitivity :: ET+
Graph:: simple bipartite
	v = 23 e = 60 f = 3
	degree seq :: [ 3^20, 20^3 ]

E18.903 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 20, 20})
Quotient :: loop
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^20 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 15, 75, 21, 81, 27, 87, 33, 93, 39, 99, 45, 105, 51, 111, 57, 117, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 5, 65)(2, 62, 6, 66, 12, 72, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 59, 119, 55, 115, 49, 109, 43, 103, 37, 97, 31, 91, 25, 85, 19, 79, 13, 73, 7, 67)(4, 64, 8, 68, 14, 74, 20, 80, 26, 86, 32, 92, 38, 98, 44, 104, 50, 110, 56, 116, 60, 120, 58, 118, 52, 112, 46, 106, 40, 100, 34, 94, 28, 88, 22, 82, 16, 76, 10, 70)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 70)(6, 63)(7, 65)(8, 66)(9, 72)(10, 67)(11, 73)(12, 74)(13, 76)(14, 69)(15, 80)(16, 71)(17, 82)(18, 75)(19, 77)(20, 78)(21, 84)(22, 79)(23, 85)(24, 86)(25, 88)(26, 81)(27, 92)(28, 83)(29, 94)(30, 87)(31, 89)(32, 90)(33, 96)(34, 91)(35, 97)(36, 98)(37, 100)(38, 93)(39, 104)(40, 95)(41, 106)(42, 99)(43, 101)(44, 102)(45, 108)(46, 103)(47, 109)(48, 110)(49, 112)(50, 105)(51, 116)(52, 107)(53, 118)(54, 111)(55, 113)(56, 114)(57, 119)(58, 115)(59, 120)(60, 117)
	local type(s) :: { ( 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20, 3, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.902
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 60 f = 23
	degree seq :: [ 40^3 ]

E18.904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^20, (Y2^-1 * Y1)^20 ]
Map::
	R = (1, 61, 2, 62, 4, 64)(3, 63, 8, 68, 6, 66)(5, 65, 10, 70, 7, 67)(9, 69, 12, 72, 14, 74)(11, 71, 13, 73, 16, 76)(15, 75, 20, 80, 18, 78)(17, 77, 22, 82, 19, 79)(21, 81, 24, 84, 26, 86)(23, 83, 25, 85, 28, 88)(27, 87, 32, 92, 30, 90)(29, 89, 34, 94, 31, 91)(33, 93, 36, 96, 38, 98)(35, 95, 37, 97, 40, 100)(39, 99, 44, 104, 42, 102)(41, 101, 46, 106, 43, 103)(45, 105, 48, 108, 50, 110)(47, 107, 49, 109, 52, 112)(51, 111, 56, 116, 54, 114)(53, 113, 58, 118, 55, 115)(57, 117, 59, 119, 60, 120)(121, 181, 123, 183, 129, 189, 135, 195, 141, 201, 147, 207, 153, 213, 159, 219, 165, 225, 171, 231, 177, 237, 173, 233, 167, 227, 161, 221, 155, 215, 149, 209, 143, 203, 137, 197, 131, 191, 125, 185)(122, 182, 126, 186, 132, 192, 138, 198, 144, 204, 150, 210, 156, 216, 162, 222, 168, 228, 174, 234, 179, 239, 175, 235, 169, 229, 163, 223, 157, 217, 151, 211, 145, 205, 139, 199, 133, 193, 127, 187)(124, 184, 128, 188, 134, 194, 140, 200, 146, 206, 152, 212, 158, 218, 164, 224, 170, 230, 176, 236, 180, 240, 178, 238, 172, 232, 166, 226, 160, 220, 154, 214, 148, 208, 142, 202, 136, 196, 130, 190)
	L = (1, 124)(2, 121)(3, 126)(4, 122)(5, 127)(6, 128)(7, 130)(8, 123)(9, 134)(10, 125)(11, 136)(12, 129)(13, 131)(14, 132)(15, 138)(16, 133)(17, 139)(18, 140)(19, 142)(20, 135)(21, 146)(22, 137)(23, 148)(24, 141)(25, 143)(26, 144)(27, 150)(28, 145)(29, 151)(30, 152)(31, 154)(32, 147)(33, 158)(34, 149)(35, 160)(36, 153)(37, 155)(38, 156)(39, 162)(40, 157)(41, 163)(42, 164)(43, 166)(44, 159)(45, 170)(46, 161)(47, 172)(48, 165)(49, 167)(50, 168)(51, 174)(52, 169)(53, 175)(54, 176)(55, 178)(56, 171)(57, 180)(58, 173)(59, 177)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.905
Graph:: bipartite
	v = 23 e = 120 f = 63
	degree seq :: [ 6^20, 40^3 ]

E18.905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 20, 20})
Quotient :: dipole
Aut^+ = C5 x (C3 : C4) (small group id <60, 1>)
Aut   = (C6 x D10) : C2 (small group id <120, 12>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^20 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 12, 72, 18, 78, 24, 84, 30, 90, 36, 96, 42, 102, 48, 108, 54, 114, 53, 113, 47, 107, 41, 101, 35, 95, 29, 89, 23, 83, 17, 77, 11, 71, 4, 64)(3, 63, 8, 68, 13, 73, 20, 80, 25, 85, 32, 92, 37, 97, 44, 104, 49, 109, 56, 116, 59, 119, 57, 117, 51, 111, 45, 105, 39, 99, 33, 93, 27, 87, 21, 81, 15, 75, 9, 69)(5, 65, 7, 67, 14, 74, 19, 79, 26, 86, 31, 91, 38, 98, 43, 103, 50, 110, 55, 115, 60, 120, 58, 118, 52, 112, 46, 106, 40, 100, 34, 94, 28, 88, 22, 82, 16, 76, 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, 125)(4, 130)(5, 121)(6, 133)(7, 128)(8, 122)(9, 124)(10, 129)(11, 135)(12, 139)(13, 134)(14, 126)(15, 136)(16, 131)(17, 142)(18, 145)(19, 140)(20, 132)(21, 137)(22, 141)(23, 147)(24, 151)(25, 146)(26, 138)(27, 148)(28, 143)(29, 154)(30, 157)(31, 152)(32, 144)(33, 149)(34, 153)(35, 159)(36, 163)(37, 158)(38, 150)(39, 160)(40, 155)(41, 166)(42, 169)(43, 164)(44, 156)(45, 161)(46, 165)(47, 171)(48, 175)(49, 170)(50, 162)(51, 172)(52, 167)(53, 178)(54, 179)(55, 176)(56, 168)(57, 173)(58, 177)(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, 40 ), ( 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40, 6, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.904
Graph:: simple bipartite
	v = 63 e = 120 f = 23
	degree seq :: [ 2^60, 40^3 ]

E18.906 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C2 x (C17 : C4) (small group id <136, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, Y1^3 * Y2^-1, R * Y2 * R * Y1, Y2^4, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 69, 4, 72)(2, 70, 6, 74)(3, 71, 7, 75)(5, 73, 10, 78)(8, 76, 16, 84)(9, 77, 17, 85)(11, 79, 21, 89)(12, 80, 22, 90)(13, 81, 24, 92)(14, 82, 25, 93)(15, 83, 26, 94)(18, 86, 30, 98)(19, 87, 31, 99)(20, 88, 32, 100)(23, 91, 35, 103)(27, 95, 40, 108)(28, 96, 41, 109)(29, 97, 42, 110)(33, 101, 47, 115)(34, 102, 48, 116)(36, 104, 51, 119)(37, 105, 52, 120)(38, 106, 54, 122)(39, 107, 55, 123)(43, 111, 53, 121)(44, 112, 58, 126)(45, 113, 49, 117)(46, 114, 59, 127)(50, 118, 61, 129)(56, 124, 64, 132)(57, 125, 65, 133)(60, 128, 63, 131)(62, 130, 68, 136)(66, 134, 67, 135)(137, 138, 141, 139)(140, 144, 151, 145)(142, 147, 156, 148)(143, 149, 159, 150)(146, 154, 165, 155)(152, 161, 173, 163)(153, 164, 169, 157)(158, 170, 179, 166)(160, 167, 180, 172)(162, 174, 189, 175)(168, 181, 187, 182)(171, 185, 183, 186)(176, 192, 178, 190)(177, 191, 199, 193)(184, 195, 203, 196)(188, 197, 201, 198)(194, 200, 204, 202)(205, 207, 209, 206)(208, 213, 219, 212)(210, 216, 224, 215)(211, 218, 227, 217)(214, 223, 233, 222)(220, 231, 241, 229)(221, 225, 237, 232)(226, 234, 247, 238)(228, 240, 248, 235)(230, 243, 257, 242)(236, 250, 255, 249)(239, 254, 251, 253)(244, 258, 246, 260)(245, 261, 267, 259)(252, 264, 271, 263)(256, 266, 269, 265)(262, 270, 272, 268)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E18.909
Graph:: simple bipartite
	v = 68 e = 136 f = 34
	degree seq :: [ 4^68 ]

E18.907 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C2 x (C17 : C4) (small group id <136, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^4, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 69, 4, 72)(2, 70, 6, 74)(3, 71, 7, 75)(5, 73, 10, 78)(8, 76, 16, 84)(9, 77, 17, 85)(11, 79, 21, 89)(12, 80, 22, 90)(13, 81, 24, 92)(14, 82, 25, 93)(15, 83, 26, 94)(18, 86, 30, 98)(19, 87, 31, 99)(20, 88, 32, 100)(23, 91, 35, 103)(27, 95, 40, 108)(28, 96, 41, 109)(29, 97, 42, 110)(33, 101, 47, 115)(34, 102, 48, 116)(36, 104, 51, 119)(37, 105, 52, 120)(38, 106, 54, 122)(39, 107, 55, 123)(43, 111, 58, 126)(44, 112, 53, 121)(45, 113, 59, 127)(46, 114, 50, 118)(49, 117, 61, 129)(56, 124, 64, 132)(57, 125, 65, 133)(60, 128, 67, 135)(62, 130, 63, 131)(66, 134, 68, 136)(137, 138, 141, 139)(140, 144, 151, 145)(142, 147, 156, 148)(143, 149, 159, 150)(146, 154, 165, 155)(152, 161, 173, 163)(153, 164, 169, 157)(158, 170, 179, 166)(160, 167, 180, 172)(162, 174, 189, 175)(168, 181, 188, 182)(171, 185, 184, 186)(176, 192, 199, 190)(177, 191, 178, 193)(183, 196, 200, 195)(187, 198, 204, 197)(194, 202, 203, 201)(205, 207, 209, 206)(208, 213, 219, 212)(210, 216, 224, 215)(211, 218, 227, 217)(214, 223, 233, 222)(220, 231, 241, 229)(221, 225, 237, 232)(226, 234, 247, 238)(228, 240, 248, 235)(230, 243, 257, 242)(236, 250, 256, 249)(239, 254, 252, 253)(244, 258, 267, 260)(245, 261, 246, 259)(251, 263, 268, 264)(255, 265, 272, 266)(262, 269, 271, 270)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E18.908
Graph:: simple bipartite
	v = 68 e = 136 f = 34
	degree seq :: [ 4^68 ]

E18.908 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C2 x (C17 : C4) (small group id <136, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, Y1^3 * Y2^-1, R * Y2 * R * Y1, Y2^4, Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2^2 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 69, 137, 205, 4, 72, 140, 208)(2, 70, 138, 206, 6, 74, 142, 210)(3, 71, 139, 207, 7, 75, 143, 211)(5, 73, 141, 209, 10, 78, 146, 214)(8, 76, 144, 212, 16, 84, 152, 220)(9, 77, 145, 213, 17, 85, 153, 221)(11, 79, 147, 215, 21, 89, 157, 225)(12, 80, 148, 216, 22, 90, 158, 226)(13, 81, 149, 217, 24, 92, 160, 228)(14, 82, 150, 218, 25, 93, 161, 229)(15, 83, 151, 219, 26, 94, 162, 230)(18, 86, 154, 222, 30, 98, 166, 234)(19, 87, 155, 223, 31, 99, 167, 235)(20, 88, 156, 224, 32, 100, 168, 236)(23, 91, 159, 227, 35, 103, 171, 239)(27, 95, 163, 231, 40, 108, 176, 244)(28, 96, 164, 232, 41, 109, 177, 245)(29, 97, 165, 233, 42, 110, 178, 246)(33, 101, 169, 237, 47, 115, 183, 251)(34, 102, 170, 238, 48, 116, 184, 252)(36, 104, 172, 240, 51, 119, 187, 255)(37, 105, 173, 241, 52, 120, 188, 256)(38, 106, 174, 242, 54, 122, 190, 258)(39, 107, 175, 243, 55, 123, 191, 259)(43, 111, 179, 247, 53, 121, 189, 257)(44, 112, 180, 248, 58, 126, 194, 262)(45, 113, 181, 249, 49, 117, 185, 253)(46, 114, 182, 250, 59, 127, 195, 263)(50, 118, 186, 254, 61, 129, 197, 265)(56, 124, 192, 260, 64, 132, 200, 268)(57, 125, 193, 261, 65, 133, 201, 269)(60, 128, 196, 264, 63, 131, 199, 267)(62, 130, 198, 266, 68, 136, 204, 272)(66, 134, 202, 270, 67, 135, 203, 271)
	L = (1, 70)(2, 73)(3, 69)(4, 76)(5, 71)(6, 79)(7, 81)(8, 83)(9, 72)(10, 86)(11, 88)(12, 74)(13, 91)(14, 75)(15, 77)(16, 93)(17, 96)(18, 97)(19, 78)(20, 80)(21, 85)(22, 102)(23, 82)(24, 99)(25, 105)(26, 106)(27, 84)(28, 101)(29, 87)(30, 90)(31, 112)(32, 113)(33, 89)(34, 111)(35, 117)(36, 92)(37, 95)(38, 121)(39, 94)(40, 124)(41, 123)(42, 122)(43, 98)(44, 104)(45, 119)(46, 100)(47, 118)(48, 127)(49, 115)(50, 103)(51, 114)(52, 129)(53, 107)(54, 108)(55, 131)(56, 110)(57, 109)(58, 132)(59, 135)(60, 116)(61, 133)(62, 120)(63, 125)(64, 136)(65, 130)(66, 126)(67, 128)(68, 134)(137, 207)(138, 205)(139, 209)(140, 213)(141, 206)(142, 216)(143, 218)(144, 208)(145, 219)(146, 223)(147, 210)(148, 224)(149, 211)(150, 227)(151, 212)(152, 231)(153, 225)(154, 214)(155, 233)(156, 215)(157, 237)(158, 234)(159, 217)(160, 240)(161, 220)(162, 243)(163, 241)(164, 221)(165, 222)(166, 247)(167, 228)(168, 250)(169, 232)(170, 226)(171, 254)(172, 248)(173, 229)(174, 230)(175, 257)(176, 258)(177, 261)(178, 260)(179, 238)(180, 235)(181, 236)(182, 255)(183, 253)(184, 264)(185, 239)(186, 251)(187, 249)(188, 266)(189, 242)(190, 246)(191, 245)(192, 244)(193, 267)(194, 270)(195, 252)(196, 271)(197, 256)(198, 269)(199, 259)(200, 262)(201, 265)(202, 272)(203, 263)(204, 268)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E18.907
Transitivity :: VT+
Graph:: bipartite
	v = 34 e = 136 f = 68
	degree seq :: [ 8^34 ]

E18.909 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C2 x (C17 : C4) (small group id <136, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^4, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y2, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 69, 137, 205, 4, 72, 140, 208)(2, 70, 138, 206, 6, 74, 142, 210)(3, 71, 139, 207, 7, 75, 143, 211)(5, 73, 141, 209, 10, 78, 146, 214)(8, 76, 144, 212, 16, 84, 152, 220)(9, 77, 145, 213, 17, 85, 153, 221)(11, 79, 147, 215, 21, 89, 157, 225)(12, 80, 148, 216, 22, 90, 158, 226)(13, 81, 149, 217, 24, 92, 160, 228)(14, 82, 150, 218, 25, 93, 161, 229)(15, 83, 151, 219, 26, 94, 162, 230)(18, 86, 154, 222, 30, 98, 166, 234)(19, 87, 155, 223, 31, 99, 167, 235)(20, 88, 156, 224, 32, 100, 168, 236)(23, 91, 159, 227, 35, 103, 171, 239)(27, 95, 163, 231, 40, 108, 176, 244)(28, 96, 164, 232, 41, 109, 177, 245)(29, 97, 165, 233, 42, 110, 178, 246)(33, 101, 169, 237, 47, 115, 183, 251)(34, 102, 170, 238, 48, 116, 184, 252)(36, 104, 172, 240, 51, 119, 187, 255)(37, 105, 173, 241, 52, 120, 188, 256)(38, 106, 174, 242, 54, 122, 190, 258)(39, 107, 175, 243, 55, 123, 191, 259)(43, 111, 179, 247, 58, 126, 194, 262)(44, 112, 180, 248, 53, 121, 189, 257)(45, 113, 181, 249, 59, 127, 195, 263)(46, 114, 182, 250, 50, 118, 186, 254)(49, 117, 185, 253, 61, 129, 197, 265)(56, 124, 192, 260, 64, 132, 200, 268)(57, 125, 193, 261, 65, 133, 201, 269)(60, 128, 196, 264, 67, 135, 203, 271)(62, 130, 198, 266, 63, 131, 199, 267)(66, 134, 202, 270, 68, 136, 204, 272)
	L = (1, 70)(2, 73)(3, 69)(4, 76)(5, 71)(6, 79)(7, 81)(8, 83)(9, 72)(10, 86)(11, 88)(12, 74)(13, 91)(14, 75)(15, 77)(16, 93)(17, 96)(18, 97)(19, 78)(20, 80)(21, 85)(22, 102)(23, 82)(24, 99)(25, 105)(26, 106)(27, 84)(28, 101)(29, 87)(30, 90)(31, 112)(32, 113)(33, 89)(34, 111)(35, 117)(36, 92)(37, 95)(38, 121)(39, 94)(40, 124)(41, 123)(42, 125)(43, 98)(44, 104)(45, 120)(46, 100)(47, 128)(48, 118)(49, 116)(50, 103)(51, 130)(52, 114)(53, 107)(54, 108)(55, 110)(56, 131)(57, 109)(58, 134)(59, 115)(60, 132)(61, 119)(62, 136)(63, 122)(64, 127)(65, 126)(66, 135)(67, 133)(68, 129)(137, 207)(138, 205)(139, 209)(140, 213)(141, 206)(142, 216)(143, 218)(144, 208)(145, 219)(146, 223)(147, 210)(148, 224)(149, 211)(150, 227)(151, 212)(152, 231)(153, 225)(154, 214)(155, 233)(156, 215)(157, 237)(158, 234)(159, 217)(160, 240)(161, 220)(162, 243)(163, 241)(164, 221)(165, 222)(166, 247)(167, 228)(168, 250)(169, 232)(170, 226)(171, 254)(172, 248)(173, 229)(174, 230)(175, 257)(176, 258)(177, 261)(178, 259)(179, 238)(180, 235)(181, 236)(182, 256)(183, 263)(184, 253)(185, 239)(186, 252)(187, 265)(188, 249)(189, 242)(190, 267)(191, 245)(192, 244)(193, 246)(194, 269)(195, 268)(196, 251)(197, 272)(198, 255)(199, 260)(200, 264)(201, 271)(202, 262)(203, 270)(204, 266)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E18.906
Transitivity :: VT+
Graph:: bipartite
	v = 34 e = 136 f = 68
	degree seq :: [ 8^34 ]

E18.910 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 8
Presentation :: [ Y1^2, Y2^2, R^-1 * Y3 * R^-1, Y3 * R^-2, Y3^4, Y2 * R^-1 * Y1 * R, R^-1 * Y3^-2 * R^-1 * Y3^-1, Y2 * Y1 * Y2 * Y3^2, Y1 * Y3^-2 * Y1 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y1)^4, (Y3 * Y2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 69, 2, 70)(3, 71, 9, 77)(4, 72, 12, 80)(5, 73, 15, 83)(6, 74, 17, 85)(7, 75, 18, 86)(8, 76, 21, 89)(10, 78, 25, 93)(11, 79, 27, 95)(13, 81, 16, 84)(14, 82, 34, 102)(19, 87, 22, 90)(20, 88, 33, 101)(23, 91, 51, 119)(24, 92, 53, 121)(26, 94, 28, 96)(29, 97, 61, 129)(30, 98, 48, 116)(31, 99, 49, 117)(32, 100, 50, 118)(35, 103, 58, 126)(36, 104, 62, 130)(37, 105, 43, 111)(38, 106, 44, 112)(39, 107, 45, 113)(40, 108, 54, 122)(41, 109, 65, 133)(42, 110, 66, 134)(46, 114, 55, 123)(47, 115, 67, 135)(52, 120, 57, 125)(56, 124, 64, 132)(59, 127, 68, 136)(60, 128, 63, 131)(137, 205, 139, 207)(138, 206, 142, 210)(140, 208, 149, 217)(141, 209, 152, 220)(143, 211, 155, 223)(144, 212, 158, 226)(145, 213, 150, 218)(146, 214, 162, 230)(147, 215, 164, 232)(148, 216, 165, 233)(151, 219, 171, 239)(153, 221, 156, 224)(154, 222, 178, 246)(157, 225, 182, 250)(159, 227, 176, 244)(160, 228, 190, 258)(161, 229, 191, 259)(163, 231, 194, 262)(166, 234, 172, 240)(167, 235, 198, 266)(168, 236, 196, 264)(169, 237, 199, 267)(170, 238, 188, 256)(173, 241, 184, 252)(174, 242, 200, 268)(175, 243, 192, 260)(177, 245, 187, 255)(179, 247, 183, 251)(180, 248, 203, 271)(181, 249, 193, 261)(185, 253, 204, 272)(186, 254, 195, 263)(189, 257, 197, 265)(201, 269, 202, 270)
	L = (1, 140)(2, 143)(3, 146)(4, 150)(5, 137)(6, 147)(7, 156)(8, 138)(9, 159)(10, 142)(11, 139)(12, 166)(13, 168)(14, 141)(15, 172)(16, 174)(17, 176)(18, 179)(19, 181)(20, 144)(21, 183)(22, 185)(23, 188)(24, 145)(25, 184)(26, 192)(27, 173)(28, 195)(29, 169)(30, 189)(31, 148)(32, 165)(33, 149)(34, 155)(35, 175)(36, 163)(37, 151)(38, 171)(39, 152)(40, 199)(41, 153)(42, 170)(43, 201)(44, 154)(45, 178)(46, 186)(47, 161)(48, 157)(49, 182)(50, 158)(51, 198)(52, 160)(53, 167)(54, 203)(55, 193)(56, 191)(57, 162)(58, 196)(59, 194)(60, 164)(61, 200)(62, 202)(63, 177)(64, 190)(65, 180)(66, 204)(67, 197)(68, 187)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E18.911
Transitivity :: VT
Graph:: simple bipartite
	v = 68 e = 136 f = 34
	degree seq :: [ 4^68 ]

E18.911 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C17 : C4 (small group id <68, 3>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 8
Presentation :: [ Y3 * R^-2, (Y2 * Y1^-1)^2, Y2 * R^-1 * Y1 * R, (Y3 * Y2^-1)^2, (Y3 * Y1)^2, Y2^4, Y1^4, Y3^4, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y3^-2 * Y2 * Y3 * Y2 * Y1^-1, R * Y1^-1 * Y2^-1 * Y1^-1 * R^-1 * Y2^-1, Y1 * R^-1 * Y1^-1 * Y2^2 * Y1^-1 * R^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 69, 2, 70, 8, 76, 5, 73)(3, 71, 13, 81, 41, 109, 11, 79)(4, 72, 17, 85, 46, 114, 20, 88)(6, 74, 21, 89, 52, 120, 25, 93)(7, 75, 27, 95, 39, 107, 10, 78)(9, 77, 33, 101, 19, 87, 31, 99)(12, 80, 43, 111, 24, 92, 30, 98)(14, 82, 47, 115, 28, 96, 37, 105)(15, 83, 42, 110, 62, 130, 50, 118)(16, 84, 51, 119, 64, 132, 45, 113)(18, 86, 35, 103, 60, 128, 53, 121)(22, 90, 32, 100, 61, 129, 40, 108)(23, 91, 29, 97, 57, 125, 38, 106)(26, 94, 44, 112, 59, 127, 34, 102)(36, 104, 66, 134, 49, 117, 63, 131)(48, 116, 67, 135, 55, 123, 68, 136)(54, 122, 58, 126, 56, 124, 65, 133)(137, 205, 139, 207, 150, 218, 142, 210)(138, 206, 145, 213, 170, 238, 147, 215)(140, 208, 154, 222, 188, 256, 152, 220)(141, 209, 157, 225, 171, 239, 159, 227)(143, 211, 160, 228, 192, 260, 164, 232)(144, 212, 165, 233, 151, 219, 167, 235)(146, 214, 173, 241, 149, 217, 172, 240)(148, 216, 176, 244, 204, 272, 180, 248)(153, 221, 175, 243, 202, 270, 189, 257)(155, 223, 178, 246, 200, 268, 190, 258)(156, 224, 187, 255, 198, 266, 168, 236)(158, 226, 186, 254, 193, 261, 191, 259)(161, 229, 183, 251, 201, 269, 181, 249)(162, 230, 184, 252, 199, 267, 177, 245)(163, 231, 182, 250, 197, 265, 179, 247)(166, 234, 195, 263, 169, 237, 194, 262)(174, 242, 196, 264, 185, 253, 203, 271)
	L = (1, 140)(2, 146)(3, 151)(4, 155)(5, 158)(6, 160)(7, 137)(8, 166)(9, 171)(10, 174)(11, 176)(12, 138)(13, 181)(14, 184)(15, 185)(16, 139)(17, 141)(18, 179)(19, 143)(20, 180)(21, 170)(22, 177)(23, 175)(24, 189)(25, 168)(26, 142)(27, 169)(28, 178)(29, 150)(30, 161)(31, 156)(32, 144)(33, 199)(34, 200)(35, 201)(36, 145)(37, 197)(38, 148)(39, 198)(40, 164)(41, 153)(42, 147)(43, 193)(44, 196)(45, 195)(46, 149)(47, 159)(48, 194)(49, 152)(50, 163)(51, 202)(52, 203)(53, 162)(54, 154)(55, 157)(56, 204)(57, 190)(58, 165)(59, 182)(60, 167)(61, 188)(62, 183)(63, 186)(64, 191)(65, 172)(66, 192)(67, 173)(68, 187)(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) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E18.910
Transitivity :: VT
Graph:: simple bipartite
	v = 34 e = 136 f = 68
	degree seq :: [ 8^34 ]

E18.912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^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 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 5, 77)(4, 76, 8, 80)(6, 78, 10, 82)(7, 79, 11, 83)(9, 81, 13, 85)(12, 84, 16, 88)(14, 86, 18, 90)(15, 87, 19, 91)(17, 89, 21, 93)(20, 92, 24, 96)(22, 94, 26, 98)(23, 95, 27, 99)(25, 97, 29, 101)(28, 100, 32, 104)(30, 102, 47, 119)(31, 103, 49, 121)(33, 105, 51, 123)(34, 106, 53, 125)(35, 107, 55, 127)(36, 108, 57, 129)(37, 109, 59, 131)(38, 110, 61, 133)(39, 111, 63, 135)(40, 112, 65, 137)(41, 113, 67, 139)(42, 114, 69, 141)(43, 115, 70, 142)(44, 116, 71, 143)(45, 117, 72, 144)(46, 118, 64, 136)(48, 120, 62, 134)(50, 122, 68, 140)(52, 124, 66, 138)(54, 126, 60, 132)(56, 128, 58, 130)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 151, 223)(150, 222, 153, 225)(152, 224, 155, 227)(154, 226, 157, 229)(156, 228, 159, 231)(158, 230, 161, 233)(160, 232, 163, 235)(162, 234, 165, 237)(164, 236, 167, 239)(166, 238, 169, 241)(168, 240, 171, 243)(170, 242, 173, 245)(172, 244, 175, 247)(174, 246, 177, 249)(176, 248, 193, 265)(178, 250, 180, 252)(179, 251, 181, 253)(182, 254, 184, 256)(183, 255, 185, 257)(186, 258, 188, 260)(187, 259, 189, 261)(190, 262, 194, 266)(191, 263, 195, 267)(192, 264, 196, 268)(197, 269, 201, 273)(198, 270, 202, 274)(199, 271, 203, 275)(200, 272, 204, 276)(205, 277, 209, 281)(206, 278, 210, 282)(207, 279, 211, 283)(208, 280, 212, 284)(213, 285, 215, 287)(214, 286, 216, 288)
	L = (1, 148)(2, 150)(3, 151)(4, 145)(5, 153)(6, 146)(7, 147)(8, 156)(9, 149)(10, 158)(11, 159)(12, 152)(13, 161)(14, 154)(15, 155)(16, 164)(17, 157)(18, 166)(19, 167)(20, 160)(21, 169)(22, 162)(23, 163)(24, 172)(25, 165)(26, 174)(27, 175)(28, 168)(29, 177)(30, 170)(31, 171)(32, 180)(33, 173)(34, 193)(35, 195)(36, 176)(37, 191)(38, 197)(39, 199)(40, 201)(41, 203)(42, 205)(43, 207)(44, 209)(45, 211)(46, 213)(47, 181)(48, 214)(49, 178)(50, 215)(51, 179)(52, 216)(53, 182)(54, 212)(55, 183)(56, 210)(57, 184)(58, 208)(59, 185)(60, 206)(61, 186)(62, 204)(63, 187)(64, 202)(65, 188)(66, 200)(67, 189)(68, 198)(69, 190)(70, 192)(71, 194)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E18.913
Graph:: simple bipartite
	v = 72 e = 144 f = 38
	degree seq :: [ 4^72 ]

E18.913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 36})
Quotient :: dipole
Aut^+ = D72 (small group id <72, 6>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^18, Y1^-1 * Y2 * Y1^8 * Y3 * Y1^-9 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 69, 141, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 18, 90, 10, 82, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 72, 144, 68, 140, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(3, 75, 9, 81, 17, 89, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 71, 143, 63, 135, 55, 127, 47, 119, 39, 111, 31, 103, 23, 95, 15, 87, 8, 80, 4, 76, 11, 83, 19, 91, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 70, 142, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86, 7, 79)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 153, 225)(150, 222, 158, 230)(152, 224, 160, 232)(155, 227, 162, 234)(156, 228, 161, 233)(157, 229, 166, 238)(159, 231, 168, 240)(163, 235, 170, 242)(164, 236, 169, 241)(165, 237, 174, 246)(167, 239, 176, 248)(171, 243, 178, 250)(172, 244, 177, 249)(173, 245, 182, 254)(175, 247, 184, 256)(179, 251, 186, 258)(180, 252, 185, 257)(181, 253, 190, 262)(183, 255, 192, 264)(187, 259, 194, 266)(188, 260, 193, 265)(189, 261, 198, 270)(191, 263, 200, 272)(195, 267, 202, 274)(196, 268, 201, 273)(197, 269, 206, 278)(199, 271, 208, 280)(203, 275, 210, 282)(204, 276, 209, 281)(205, 277, 214, 286)(207, 279, 216, 288)(211, 283, 213, 285)(212, 284, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 155)(6, 159)(7, 160)(8, 146)(9, 162)(10, 147)(11, 149)(12, 163)(13, 167)(14, 168)(15, 150)(16, 151)(17, 170)(18, 153)(19, 156)(20, 171)(21, 175)(22, 176)(23, 157)(24, 158)(25, 178)(26, 161)(27, 164)(28, 179)(29, 183)(30, 184)(31, 165)(32, 166)(33, 186)(34, 169)(35, 172)(36, 187)(37, 191)(38, 192)(39, 173)(40, 174)(41, 194)(42, 177)(43, 180)(44, 195)(45, 199)(46, 200)(47, 181)(48, 182)(49, 202)(50, 185)(51, 188)(52, 203)(53, 207)(54, 208)(55, 189)(56, 190)(57, 210)(58, 193)(59, 196)(60, 211)(61, 215)(62, 216)(63, 197)(64, 198)(65, 213)(66, 201)(67, 204)(68, 214)(69, 209)(70, 212)(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) :: { ( 4^4 ), ( 4^72 ) }
Outer automorphisms :: reflexible
Dual of E18.912
Graph:: bipartite
	v = 38 e = 144 f = 72
	degree seq :: [ 4^36, 72^2 ]

E18.914 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 36})
Quotient :: edge
Aut^+ = C9 : Q8 (small group id <72, 4>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1^-1 * T2^-1 * T1, T1^4, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^8 * T1^-1 * T2^-10 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 72, 64, 56, 48, 40, 32, 24, 16, 8)(73, 74, 78, 76)(75, 80, 85, 82)(77, 79, 86, 83)(81, 88, 93, 90)(84, 87, 94, 91)(89, 96, 101, 98)(92, 95, 102, 99)(97, 104, 109, 106)(100, 103, 110, 107)(105, 112, 117, 114)(108, 111, 118, 115)(113, 120, 125, 122)(116, 119, 126, 123)(121, 128, 133, 130)(124, 127, 134, 131)(129, 136, 141, 138)(132, 135, 142, 139)(137, 144, 140, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ), ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E18.915
Transitivity :: ET+
Graph:: bipartite
	v = 20 e = 72 f = 18
	degree seq :: [ 4^18, 36^2 ]

E18.915 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 36})
Quotient :: loop
Aut^+ = C9 : Q8 (small group id <72, 4>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, T2 * T1^2 * T2, (F * T1)^2, (F * T2)^2, 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 * T2^-1 * T1^-1 * T2^-1 * T1^-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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 6, 78, 5, 77)(2, 74, 7, 79, 4, 76, 8, 80)(9, 81, 13, 85, 10, 82, 14, 86)(11, 83, 15, 87, 12, 84, 16, 88)(17, 89, 21, 93, 18, 90, 22, 94)(19, 91, 23, 95, 20, 92, 24, 96)(25, 97, 29, 101, 26, 98, 30, 102)(27, 99, 31, 103, 28, 100, 32, 104)(33, 105, 57, 129, 34, 106, 59, 131)(35, 107, 62, 134, 40, 112, 65, 137)(36, 108, 67, 139, 38, 110, 68, 140)(37, 109, 66, 138, 39, 111, 63, 135)(41, 113, 64, 136, 42, 114, 61, 133)(43, 115, 71, 143, 44, 116, 72, 144)(45, 117, 60, 132, 46, 118, 58, 130)(47, 119, 70, 142, 48, 120, 69, 141)(49, 121, 55, 127, 50, 122, 56, 128)(51, 123, 54, 126, 52, 124, 53, 125)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 82)(6, 76)(7, 83)(8, 84)(9, 77)(10, 75)(11, 80)(12, 79)(13, 89)(14, 90)(15, 91)(16, 92)(17, 86)(18, 85)(19, 88)(20, 87)(21, 97)(22, 98)(23, 99)(24, 100)(25, 94)(26, 93)(27, 96)(28, 95)(29, 105)(30, 106)(31, 119)(32, 120)(33, 102)(34, 101)(35, 133)(36, 138)(37, 141)(38, 135)(39, 142)(40, 136)(41, 129)(42, 131)(43, 137)(44, 134)(45, 140)(46, 139)(47, 104)(48, 103)(49, 144)(50, 143)(51, 130)(52, 132)(53, 128)(54, 127)(55, 125)(56, 126)(57, 114)(58, 124)(59, 113)(60, 123)(61, 112)(62, 115)(63, 108)(64, 107)(65, 116)(66, 110)(67, 117)(68, 118)(69, 111)(70, 109)(71, 121)(72, 122)
	local type(s) :: { ( 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E18.914
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 20
	degree seq :: [ 8^18 ]

E18.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 36})
Quotient :: dipole
Aut^+ = C9 : Q8 (small group id <72, 4>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, Y1^4, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^8 * Y1^-1 * Y2^-10 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 8, 80, 13, 85, 10, 82)(5, 77, 7, 79, 14, 86, 11, 83)(9, 81, 16, 88, 21, 93, 18, 90)(12, 84, 15, 87, 22, 94, 19, 91)(17, 89, 24, 96, 29, 101, 26, 98)(20, 92, 23, 95, 30, 102, 27, 99)(25, 97, 32, 104, 37, 109, 34, 106)(28, 100, 31, 103, 38, 110, 35, 107)(33, 105, 40, 112, 45, 117, 42, 114)(36, 108, 39, 111, 46, 118, 43, 115)(41, 113, 48, 120, 53, 125, 50, 122)(44, 116, 47, 119, 54, 126, 51, 123)(49, 121, 56, 128, 61, 133, 58, 130)(52, 124, 55, 127, 62, 134, 59, 131)(57, 129, 64, 136, 69, 141, 66, 138)(60, 132, 63, 135, 70, 142, 67, 139)(65, 137, 72, 144, 68, 140, 71, 143)(145, 217, 147, 219, 153, 225, 161, 233, 169, 241, 177, 249, 185, 257, 193, 265, 201, 273, 209, 281, 214, 286, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230, 150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 213, 285, 212, 284, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 215, 287, 210, 282, 202, 274, 194, 266, 186, 258, 178, 250, 170, 242, 162, 234, 154, 226, 148, 220, 155, 227, 163, 235, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 216, 288, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 161)(10, 148)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 169)(18, 154)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 177)(26, 162)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 209)(58, 194)(59, 211)(60, 196)(61, 213)(62, 198)(63, 215)(64, 200)(65, 214)(66, 202)(67, 216)(68, 204)(69, 212)(70, 206)(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) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.917
Graph:: bipartite
	v = 20 e = 144 f = 90
	degree seq :: [ 8^18, 72^2 ]

E18.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 36})
Quotient :: dipole
Aut^+ = C9 : Q8 (small group id <72, 4>)
Aut   = (C36 x C2) : C2 (small group id <144, 40>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^17 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^36 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 148, 220)(147, 219, 152, 224, 157, 229, 154, 226)(149, 221, 151, 223, 158, 230, 155, 227)(153, 225, 160, 232, 165, 237, 162, 234)(156, 228, 159, 231, 166, 238, 163, 235)(161, 233, 168, 240, 173, 245, 170, 242)(164, 236, 167, 239, 174, 246, 171, 243)(169, 241, 176, 248, 181, 253, 178, 250)(172, 244, 175, 247, 182, 254, 179, 251)(177, 249, 184, 256, 189, 261, 186, 258)(180, 252, 183, 255, 190, 262, 187, 259)(185, 257, 192, 264, 197, 269, 194, 266)(188, 260, 191, 263, 198, 270, 195, 267)(193, 265, 200, 272, 205, 277, 202, 274)(196, 268, 199, 271, 206, 278, 203, 275)(201, 273, 208, 280, 213, 285, 210, 282)(204, 276, 207, 279, 214, 286, 211, 283)(209, 281, 216, 288, 212, 284, 215, 287)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 161)(10, 148)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 169)(18, 154)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 177)(26, 162)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 209)(58, 194)(59, 211)(60, 196)(61, 213)(62, 198)(63, 215)(64, 200)(65, 214)(66, 202)(67, 216)(68, 204)(69, 212)(70, 206)(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) :: { ( 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E18.916
Graph:: simple bipartite
	v = 90 e = 144 f = 20
	degree seq :: [ 2^72, 8^18 ]

E18.918 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 72, 72})
Quotient :: regular
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^36 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 47, 43, 39, 35, 38, 42, 46, 50, 52, 54, 56, 72, 69, 65, 61, 58, 59, 62, 66, 57, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 48, 44, 40, 36, 33, 34, 37, 41, 45, 49, 51, 53, 55, 71, 68, 64, 60, 63, 67, 70, 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, 48)(32, 57)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(49, 52)(51, 54)(53, 56)(55, 72)(58, 60)(59, 63)(61, 64)(62, 67)(65, 68)(66, 70)(69, 71)
	local type(s) :: { ( 72^72 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 36 f = 1
	degree seq :: [ 72 ]

E18.919 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 72, 72})
Quotient :: edge
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^36 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 34, 37, 39, 41, 43, 45, 47, 49, 55, 52, 54, 57, 59, 61, 63, 65, 67, 69, 70, 51, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 35, 38, 40, 42, 44, 46, 48, 50, 53, 56, 58, 60, 62, 64, 66, 68, 72, 71, 32, 28, 24, 20, 16, 12, 8, 4)(73, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 108)(104, 123)(105, 106)(107, 109)(110, 111)(112, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 127)(124, 125)(126, 128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 144)(142, 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, 144 ), ( 144^72 ) }
Outer automorphisms :: reflexible
Dual of E18.920
Transitivity :: ET+
Graph:: bipartite
	v = 37 e = 72 f = 1
	degree seq :: [ 2^36, 72 ]

E18.920 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 72, 72})
Quotient :: loop
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^36 * T1 ]
Map::
	R = (1, 73, 3, 75, 7, 79, 11, 83, 15, 87, 19, 91, 23, 95, 27, 99, 31, 103, 42, 114, 38, 110, 34, 106, 37, 109, 41, 113, 45, 117, 47, 119, 49, 121, 51, 123, 53, 125, 67, 139, 63, 135, 59, 131, 56, 128, 58, 130, 62, 134, 66, 138, 69, 141, 71, 143, 55, 127, 30, 102, 26, 98, 22, 94, 18, 90, 14, 86, 10, 82, 6, 78, 2, 74, 5, 77, 9, 81, 13, 85, 17, 89, 21, 93, 25, 97, 29, 101, 44, 116, 40, 112, 36, 108, 33, 105, 35, 107, 39, 111, 43, 115, 46, 118, 48, 120, 50, 122, 52, 124, 54, 126, 65, 137, 61, 133, 57, 129, 60, 132, 64, 136, 68, 140, 70, 142, 72, 144, 32, 104, 28, 100, 24, 96, 20, 92, 16, 88, 12, 84, 8, 80, 4, 76)
	L = (1, 74)(2, 73)(3, 77)(4, 78)(5, 75)(6, 76)(7, 81)(8, 82)(9, 79)(10, 80)(11, 85)(12, 86)(13, 83)(14, 84)(15, 89)(16, 90)(17, 87)(18, 88)(19, 93)(20, 94)(21, 91)(22, 92)(23, 97)(24, 98)(25, 95)(26, 96)(27, 101)(28, 102)(29, 99)(30, 100)(31, 116)(32, 127)(33, 106)(34, 105)(35, 109)(36, 110)(37, 107)(38, 108)(39, 113)(40, 114)(41, 111)(42, 112)(43, 117)(44, 103)(45, 115)(46, 119)(47, 118)(48, 121)(49, 120)(50, 123)(51, 122)(52, 125)(53, 124)(54, 139)(55, 104)(56, 129)(57, 128)(58, 132)(59, 133)(60, 130)(61, 131)(62, 136)(63, 137)(64, 134)(65, 135)(66, 140)(67, 126)(68, 138)(69, 142)(70, 141)(71, 144)(72, 143)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E18.919
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 72 f = 37
	degree seq :: [ 144 ]

E18.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^36 * Y1, (Y3 * Y2^-1)^72 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 5, 77)(4, 76, 6, 78)(7, 79, 9, 81)(8, 80, 10, 82)(11, 83, 13, 85)(12, 84, 14, 86)(15, 87, 17, 89)(16, 88, 18, 90)(19, 91, 21, 93)(20, 92, 22, 94)(23, 95, 25, 97)(24, 96, 26, 98)(27, 99, 29, 101)(28, 100, 30, 102)(31, 103, 36, 108)(32, 104, 51, 123)(33, 105, 34, 106)(35, 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, 55, 127)(52, 124, 53, 125)(54, 126, 56, 128)(57, 129, 58, 130)(59, 131, 60, 132)(61, 133, 62, 134)(63, 135, 64, 136)(65, 137, 66, 138)(67, 139, 68, 140)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 151, 223, 155, 227, 159, 231, 163, 235, 167, 239, 171, 243, 175, 247, 178, 250, 181, 253, 183, 255, 185, 257, 187, 259, 189, 261, 191, 263, 193, 265, 199, 271, 196, 268, 198, 270, 201, 273, 203, 275, 205, 277, 207, 279, 209, 281, 211, 283, 213, 285, 214, 286, 195, 267, 174, 246, 170, 242, 166, 238, 162, 234, 158, 230, 154, 226, 150, 222, 146, 218, 149, 221, 153, 225, 157, 229, 161, 233, 165, 237, 169, 241, 173, 245, 180, 252, 177, 249, 179, 251, 182, 254, 184, 256, 186, 258, 188, 260, 190, 262, 192, 264, 194, 266, 197, 269, 200, 272, 202, 274, 204, 276, 206, 278, 208, 280, 210, 282, 212, 284, 216, 288, 215, 287, 176, 248, 172, 244, 168, 240, 164, 236, 160, 232, 156, 228, 152, 224, 148, 220)
	L = (1, 146)(2, 145)(3, 149)(4, 150)(5, 147)(6, 148)(7, 153)(8, 154)(9, 151)(10, 152)(11, 157)(12, 158)(13, 155)(14, 156)(15, 161)(16, 162)(17, 159)(18, 160)(19, 165)(20, 166)(21, 163)(22, 164)(23, 169)(24, 170)(25, 167)(26, 168)(27, 173)(28, 174)(29, 171)(30, 172)(31, 180)(32, 195)(33, 178)(34, 177)(35, 181)(36, 175)(37, 179)(38, 183)(39, 182)(40, 185)(41, 184)(42, 187)(43, 186)(44, 189)(45, 188)(46, 191)(47, 190)(48, 193)(49, 192)(50, 199)(51, 176)(52, 197)(53, 196)(54, 200)(55, 194)(56, 198)(57, 202)(58, 201)(59, 204)(60, 203)(61, 206)(62, 205)(63, 208)(64, 207)(65, 210)(66, 209)(67, 212)(68, 211)(69, 216)(70, 215)(71, 214)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E18.922
Graph:: bipartite
	v = 37 e = 144 f = 73
	degree seq :: [ 4^36, 144 ]

E18.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 72, 72})
Quotient :: dipole
Aut^+ = C72 (small group id <72, 2>)
Aut   = D144 (small group id <144, 8>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^36 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 9, 81, 13, 85, 17, 89, 21, 93, 25, 97, 29, 101, 36, 108, 33, 105, 34, 106, 37, 109, 40, 112, 43, 115, 45, 117, 47, 119, 49, 121, 51, 123, 57, 129, 54, 126, 55, 127, 58, 130, 61, 133, 64, 136, 66, 138, 68, 140, 70, 142, 53, 125, 31, 103, 27, 99, 23, 95, 19, 91, 15, 87, 11, 83, 7, 79, 3, 75, 6, 78, 10, 82, 14, 86, 18, 90, 22, 94, 26, 98, 30, 102, 42, 114, 39, 111, 35, 107, 38, 110, 41, 113, 44, 116, 46, 118, 48, 120, 50, 122, 52, 124, 63, 135, 60, 132, 56, 128, 59, 131, 62, 134, 65, 137, 67, 139, 69, 141, 71, 143, 72, 144, 32, 104, 28, 100, 24, 96, 20, 92, 16, 88, 12, 84, 8, 80, 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, 150)(3, 145)(4, 151)(5, 154)(6, 146)(7, 148)(8, 155)(9, 158)(10, 149)(11, 152)(12, 159)(13, 162)(14, 153)(15, 156)(16, 163)(17, 166)(18, 157)(19, 160)(20, 167)(21, 170)(22, 161)(23, 164)(24, 171)(25, 174)(26, 165)(27, 168)(28, 175)(29, 186)(30, 169)(31, 172)(32, 197)(33, 179)(34, 182)(35, 177)(36, 183)(37, 185)(38, 178)(39, 180)(40, 188)(41, 181)(42, 173)(43, 190)(44, 184)(45, 192)(46, 187)(47, 194)(48, 189)(49, 196)(50, 191)(51, 207)(52, 193)(53, 176)(54, 200)(55, 203)(56, 198)(57, 204)(58, 206)(59, 199)(60, 201)(61, 209)(62, 202)(63, 195)(64, 211)(65, 205)(66, 213)(67, 208)(68, 215)(69, 210)(70, 216)(71, 212)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 144 ), ( 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144, 4, 144 ) }
Outer automorphisms :: reflexible
Dual of E18.921
Graph:: bipartite
	v = 73 e = 144 f = 37
	degree seq :: [ 2^72, 144 ]

E18.923 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 37, 74})
Quotient :: regular
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-37 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 51, 47, 43, 39, 35, 38, 42, 46, 50, 54, 56, 58, 74, 72, 70, 67, 63, 60, 61, 64, 59, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 52, 48, 44, 40, 36, 33, 34, 37, 41, 45, 49, 53, 55, 57, 73, 71, 69, 66, 62, 65, 68, 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, 52)(32, 59)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 54)(53, 56)(55, 58)(57, 74)(60, 62)(61, 65)(63, 66)(64, 68)(67, 69)(70, 71)(72, 73)
	local type(s) :: { ( 37^74 ) }
Outer automorphisms :: reflexible
Dual of E18.924
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 37 f = 2
	degree seq :: [ 74 ]

E18.924 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 37, 74})
Quotient :: regular
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^37 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 74, 55, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 74)
	local type(s) :: { ( 74^37 ) }
Outer automorphisms :: reflexible
Dual of E18.923
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 37 f = 1
	degree seq :: [ 37^2 ]

E18.925 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 37, 74})
Quotient :: edge
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^37 ]
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, 71, 73, 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, 74, 72, 70, 51, 30, 26, 22, 18, 14, 10, 6)(75, 76)(77, 79)(78, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 111)(106, 125)(107, 108)(109, 110)(112, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 123)(124, 130)(126, 127)(128, 129)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 148)(144, 147)(145, 146)
	L = (1, 75)(2, 76)(3, 77)(4, 78)(5, 79)(6, 80)(7, 81)(8, 82)(9, 83)(10, 84)(11, 85)(12, 86)(13, 87)(14, 88)(15, 89)(16, 90)(17, 91)(18, 92)(19, 93)(20, 94)(21, 95)(22, 96)(23, 97)(24, 98)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 108)(35, 109)(36, 110)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 148, 148 ), ( 148^37 ) }
Outer automorphisms :: reflexible
Dual of E18.929
Transitivity :: ET+
Graph:: simple bipartite
	v = 39 e = 74 f = 1
	degree seq :: [ 2^37, 37^2 ]

E18.926 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 37, 74})
Quotient :: edge
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^16 * T2^-1 * T1 * T2^-17, T2^-2 * T1^35, T2^15 * T1^14 * T2^-1 * T1^17 * T2^-1 * T1^17 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 57, 73, 72, 69, 66, 60, 65, 62, 68, 55, 54, 51, 50, 47, 46, 40, 39, 35, 37, 43, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 58, 74, 71, 70, 64, 63, 59, 61, 67, 56, 53, 52, 49, 48, 45, 42, 36, 41, 38, 44, 31, 28, 23, 20, 15, 12, 6, 5)(75, 76, 80, 85, 89, 93, 97, 101, 105, 117, 112, 109, 110, 114, 119, 121, 123, 125, 127, 129, 141, 136, 133, 134, 138, 143, 145, 147, 132, 107, 104, 99, 96, 91, 88, 83, 78)(77, 81, 79, 82, 86, 90, 94, 98, 102, 106, 118, 111, 115, 113, 116, 120, 122, 124, 126, 128, 130, 142, 135, 139, 137, 140, 144, 146, 148, 131, 108, 103, 100, 95, 92, 87, 84)
	L = (1, 75)(2, 76)(3, 77)(4, 78)(5, 79)(6, 80)(7, 81)(8, 82)(9, 83)(10, 84)(11, 85)(12, 86)(13, 87)(14, 88)(15, 89)(16, 90)(17, 91)(18, 92)(19, 93)(20, 94)(21, 95)(22, 96)(23, 97)(24, 98)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 108)(35, 109)(36, 110)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 4^37 ), ( 4^74 ) }
Outer automorphisms :: reflexible
Dual of E18.930
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 74 f = 37
	degree seq :: [ 37^2, 74 ]

E18.927 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 37, 74})
Quotient :: edge
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-37 ]
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, 48)(32, 57)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(49, 52)(51, 54)(53, 56)(55, 73)(58, 60)(59, 63)(61, 64)(62, 67)(65, 68)(66, 71)(69, 72)(70, 74)(75, 76, 79, 83, 87, 91, 95, 99, 103, 121, 117, 113, 109, 112, 116, 120, 124, 126, 128, 130, 147, 143, 139, 135, 132, 133, 136, 140, 144, 131, 105, 101, 97, 93, 89, 85, 81, 77, 80, 84, 88, 92, 96, 100, 104, 122, 118, 114, 110, 107, 108, 111, 115, 119, 123, 125, 127, 129, 146, 142, 138, 134, 137, 141, 145, 148, 106, 102, 98, 94, 90, 86, 82, 78)
	L = (1, 75)(2, 76)(3, 77)(4, 78)(5, 79)(6, 80)(7, 81)(8, 82)(9, 83)(10, 84)(11, 85)(12, 86)(13, 87)(14, 88)(15, 89)(16, 90)(17, 91)(18, 92)(19, 93)(20, 94)(21, 95)(22, 96)(23, 97)(24, 98)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 108)(35, 109)(36, 110)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)
	local type(s) :: { ( 74, 74 ), ( 74^74 ) }
Outer automorphisms :: reflexible
Dual of E18.928
Transitivity :: ET+
Graph:: bipartite
	v = 38 e = 74 f = 2
	degree seq :: [ 2^37, 74 ]

E18.928 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 37, 74})
Quotient :: loop
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^37 ]
Map::
	R = (1, 75, 3, 77, 7, 81, 11, 85, 15, 89, 19, 93, 23, 97, 27, 101, 31, 105, 34, 108, 37, 111, 39, 113, 41, 115, 43, 117, 45, 119, 47, 121, 49, 123, 55, 129, 52, 126, 54, 128, 57, 131, 59, 133, 61, 135, 63, 137, 65, 139, 67, 141, 69, 143, 72, 146, 74, 148, 32, 106, 28, 102, 24, 98, 20, 94, 16, 90, 12, 86, 8, 82, 4, 78)(2, 76, 5, 79, 9, 83, 13, 87, 17, 91, 21, 95, 25, 99, 29, 103, 36, 110, 33, 107, 35, 109, 38, 112, 40, 114, 42, 116, 44, 118, 46, 120, 48, 122, 50, 124, 53, 127, 56, 130, 58, 132, 60, 134, 62, 136, 64, 138, 66, 140, 68, 142, 73, 147, 71, 145, 70, 144, 51, 125, 30, 104, 26, 100, 22, 96, 18, 92, 14, 88, 10, 84, 6, 80)
	L = (1, 76)(2, 75)(3, 79)(4, 80)(5, 77)(6, 78)(7, 83)(8, 84)(9, 81)(10, 82)(11, 87)(12, 88)(13, 85)(14, 86)(15, 91)(16, 92)(17, 89)(18, 90)(19, 95)(20, 96)(21, 93)(22, 94)(23, 99)(24, 100)(25, 97)(26, 98)(27, 103)(28, 104)(29, 101)(30, 102)(31, 110)(32, 125)(33, 108)(34, 107)(35, 111)(36, 105)(37, 109)(38, 113)(39, 112)(40, 115)(41, 114)(42, 117)(43, 116)(44, 119)(45, 118)(46, 121)(47, 120)(48, 123)(49, 122)(50, 129)(51, 106)(52, 127)(53, 126)(54, 130)(55, 124)(56, 128)(57, 132)(58, 131)(59, 134)(60, 133)(61, 136)(62, 135)(63, 138)(64, 137)(65, 140)(66, 139)(67, 142)(68, 141)(69, 147)(70, 148)(71, 146)(72, 145)(73, 143)(74, 144)
	local type(s) :: { ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.927
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 74 f = 38
	degree seq :: [ 74^2 ]

E18.929 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 37, 74})
Quotient :: loop
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^16 * T2^-1 * T1 * T2^-17, T2^-2 * T1^35, T2^15 * T1^14 * T2^-1 * T1^17 * T2^-1 * T1^17 * T2^-1 * T1 ]
Map::
	R = (1, 75, 3, 77, 9, 83, 13, 87, 17, 91, 21, 95, 25, 99, 29, 103, 33, 107, 59, 133, 71, 145, 68, 142, 62, 136, 67, 141, 64, 138, 70, 144, 74, 148, 57, 131, 56, 130, 53, 127, 52, 126, 49, 123, 46, 120, 40, 114, 39, 113, 35, 109, 37, 111, 43, 117, 47, 121, 32, 106, 27, 101, 24, 98, 19, 93, 16, 90, 11, 85, 8, 82, 2, 76, 7, 81, 4, 78, 10, 84, 14, 88, 18, 92, 22, 96, 26, 100, 30, 104, 34, 108, 60, 134, 72, 146, 66, 140, 65, 139, 61, 135, 63, 137, 69, 143, 73, 147, 58, 132, 55, 129, 54, 128, 51, 125, 50, 124, 45, 119, 42, 116, 36, 110, 41, 115, 38, 112, 44, 118, 48, 122, 31, 105, 28, 102, 23, 97, 20, 94, 15, 89, 12, 86, 6, 80, 5, 79)
	L = (1, 76)(2, 80)(3, 81)(4, 75)(5, 82)(6, 85)(7, 79)(8, 86)(9, 78)(10, 77)(11, 89)(12, 90)(13, 84)(14, 83)(15, 93)(16, 94)(17, 88)(18, 87)(19, 97)(20, 98)(21, 92)(22, 91)(23, 101)(24, 102)(25, 96)(26, 95)(27, 105)(28, 106)(29, 100)(30, 99)(31, 121)(32, 122)(33, 104)(34, 103)(35, 110)(36, 114)(37, 115)(38, 109)(39, 116)(40, 119)(41, 113)(42, 120)(43, 112)(44, 111)(45, 123)(46, 124)(47, 118)(48, 117)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 147)(58, 148)(59, 108)(60, 107)(61, 136)(62, 140)(63, 141)(64, 135)(65, 142)(66, 145)(67, 139)(68, 146)(69, 138)(70, 137)(71, 134)(72, 133)(73, 144)(74, 143)
	local type(s) :: { ( 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37, 2, 37 ) }
Outer automorphisms :: reflexible
Dual of E18.925
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 74 f = 39
	degree seq :: [ 148 ]

E18.930 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 37, 74})
Quotient :: loop
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-37 ]
Map:: non-degenerate
	R = (1, 75, 3, 77)(2, 76, 6, 80)(4, 78, 7, 81)(5, 79, 10, 84)(8, 82, 11, 85)(9, 83, 14, 88)(12, 86, 15, 89)(13, 87, 18, 92)(16, 90, 19, 93)(17, 91, 22, 96)(20, 94, 23, 97)(21, 95, 26, 100)(24, 98, 27, 101)(25, 99, 30, 104)(28, 102, 31, 105)(29, 103, 33, 107)(32, 106, 49, 123)(34, 108, 36, 110)(35, 109, 38, 112)(37, 111, 40, 114)(39, 113, 42, 116)(41, 115, 44, 118)(43, 117, 46, 120)(45, 119, 48, 122)(47, 121, 50, 124)(51, 125, 53, 127)(52, 126, 55, 129)(54, 128, 57, 131)(56, 130, 59, 133)(58, 132, 61, 135)(60, 134, 63, 137)(62, 136, 65, 139)(64, 138, 67, 141)(66, 140, 73, 147)(68, 142, 70, 144)(69, 143, 72, 146)(71, 145, 74, 148)
	L = (1, 76)(2, 79)(3, 80)(4, 75)(5, 83)(6, 84)(7, 77)(8, 78)(9, 87)(10, 88)(11, 81)(12, 82)(13, 91)(14, 92)(15, 85)(16, 86)(17, 95)(18, 96)(19, 89)(20, 90)(21, 99)(22, 100)(23, 93)(24, 94)(25, 103)(26, 104)(27, 97)(28, 98)(29, 110)(30, 107)(31, 101)(32, 102)(33, 108)(34, 109)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 127)(48, 124)(49, 105)(50, 125)(51, 126)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 144)(65, 141)(66, 123)(67, 142)(68, 143)(69, 145)(70, 146)(71, 147)(72, 148)(73, 106)(74, 140)
	local type(s) :: { ( 37, 74, 37, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.926
Transitivity :: ET+ VT+ AT
Graph::
	v = 37 e = 74 f = 3
	degree seq :: [ 4^37 ]

E18.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^37, (Y3 * Y2^-1)^74 ]
Map::
	R = (1, 75, 2, 76)(3, 77, 5, 79)(4, 78, 6, 80)(7, 81, 9, 83)(8, 82, 10, 84)(11, 85, 13, 87)(12, 86, 14, 88)(15, 89, 17, 91)(16, 90, 18, 92)(19, 93, 21, 95)(20, 94, 22, 96)(23, 97, 25, 99)(24, 98, 26, 100)(27, 101, 29, 103)(28, 102, 30, 104)(31, 105, 40, 114)(32, 106, 53, 127)(33, 107, 34, 108)(35, 109, 37, 111)(36, 110, 38, 112)(39, 113, 41, 115)(42, 116, 43, 117)(44, 118, 45, 119)(46, 120, 47, 121)(48, 122, 49, 123)(50, 124, 51, 125)(52, 126, 61, 135)(54, 128, 55, 129)(56, 130, 58, 132)(57, 131, 59, 133)(60, 134, 62, 136)(63, 137, 64, 138)(65, 139, 66, 140)(67, 141, 68, 142)(69, 143, 70, 144)(71, 145, 72, 146)(73, 147, 74, 148)(149, 223, 151, 225, 155, 229, 159, 233, 163, 237, 167, 241, 171, 245, 175, 249, 179, 253, 186, 260, 182, 256, 185, 259, 189, 263, 191, 265, 193, 267, 195, 269, 197, 271, 199, 273, 209, 283, 205, 279, 202, 276, 204, 278, 208, 282, 211, 285, 213, 287, 215, 289, 217, 291, 219, 293, 221, 295, 180, 254, 176, 250, 172, 246, 168, 242, 164, 238, 160, 234, 156, 230, 152, 226)(150, 224, 153, 227, 157, 231, 161, 235, 165, 239, 169, 243, 173, 247, 177, 251, 188, 262, 184, 258, 181, 255, 183, 257, 187, 261, 190, 264, 192, 266, 194, 268, 196, 270, 198, 272, 200, 274, 207, 281, 203, 277, 206, 280, 210, 284, 212, 286, 214, 288, 216, 290, 218, 292, 220, 294, 222, 296, 201, 275, 178, 252, 174, 248, 170, 244, 166, 240, 162, 236, 158, 232, 154, 228)
	L = (1, 150)(2, 149)(3, 153)(4, 154)(5, 151)(6, 152)(7, 157)(8, 158)(9, 155)(10, 156)(11, 161)(12, 162)(13, 159)(14, 160)(15, 165)(16, 166)(17, 163)(18, 164)(19, 169)(20, 170)(21, 167)(22, 168)(23, 173)(24, 174)(25, 171)(26, 172)(27, 177)(28, 178)(29, 175)(30, 176)(31, 188)(32, 201)(33, 182)(34, 181)(35, 185)(36, 186)(37, 183)(38, 184)(39, 189)(40, 179)(41, 187)(42, 191)(43, 190)(44, 193)(45, 192)(46, 195)(47, 194)(48, 197)(49, 196)(50, 199)(51, 198)(52, 209)(53, 180)(54, 203)(55, 202)(56, 206)(57, 207)(58, 204)(59, 205)(60, 210)(61, 200)(62, 208)(63, 212)(64, 211)(65, 214)(66, 213)(67, 216)(68, 215)(69, 218)(70, 217)(71, 220)(72, 219)(73, 222)(74, 221)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	local type(s) :: { ( 2, 148, 2, 148 ), ( 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148, 2, 148 ) }
Outer automorphisms :: reflexible
Dual of E18.934
Graph:: bipartite
	v = 39 e = 148 f = 75
	degree seq :: [ 4^37, 74^2 ]

E18.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2, Y1^-1), Y2^-18 * Y1^-18, Y1^-1 * Y2^36, Y1^37 ]
Map::
	R = (1, 75, 2, 76, 6, 80, 11, 85, 15, 89, 19, 93, 23, 97, 27, 101, 31, 105, 37, 111, 41, 115, 39, 113, 42, 116, 44, 118, 46, 120, 48, 122, 50, 124, 52, 126, 54, 128, 60, 134, 57, 131, 58, 132, 62, 136, 65, 139, 67, 141, 69, 143, 71, 145, 73, 147, 56, 130, 33, 107, 30, 104, 25, 99, 22, 96, 17, 91, 14, 88, 9, 83, 4, 78)(3, 77, 7, 81, 5, 79, 8, 82, 12, 86, 16, 90, 20, 94, 24, 98, 28, 102, 32, 106, 38, 112, 35, 109, 36, 110, 40, 114, 43, 117, 45, 119, 47, 121, 49, 123, 51, 125, 53, 127, 59, 133, 63, 137, 61, 135, 64, 138, 66, 140, 68, 142, 70, 144, 72, 146, 74, 148, 55, 129, 34, 108, 29, 103, 26, 100, 21, 95, 18, 92, 13, 87, 10, 84)(149, 223, 151, 225, 157, 231, 161, 235, 165, 239, 169, 243, 173, 247, 177, 251, 181, 255, 203, 277, 221, 295, 220, 294, 217, 291, 216, 290, 213, 287, 212, 286, 206, 280, 211, 285, 208, 282, 201, 275, 200, 274, 197, 271, 196, 270, 193, 267, 192, 266, 188, 262, 187, 261, 183, 257, 185, 259, 180, 254, 175, 249, 172, 246, 167, 241, 164, 238, 159, 233, 156, 230, 150, 224, 155, 229, 152, 226, 158, 232, 162, 236, 166, 240, 170, 244, 174, 248, 178, 252, 182, 256, 204, 278, 222, 296, 219, 293, 218, 292, 215, 289, 214, 288, 210, 284, 209, 283, 205, 279, 207, 281, 202, 276, 199, 273, 198, 272, 195, 269, 194, 268, 191, 265, 190, 264, 184, 258, 189, 263, 186, 260, 179, 253, 176, 250, 171, 245, 168, 242, 163, 237, 160, 234, 154, 228, 153, 227)
	L = (1, 151)(2, 155)(3, 157)(4, 158)(5, 149)(6, 153)(7, 152)(8, 150)(9, 161)(10, 162)(11, 156)(12, 154)(13, 165)(14, 166)(15, 160)(16, 159)(17, 169)(18, 170)(19, 164)(20, 163)(21, 173)(22, 174)(23, 168)(24, 167)(25, 177)(26, 178)(27, 172)(28, 171)(29, 181)(30, 182)(31, 176)(32, 175)(33, 203)(34, 204)(35, 185)(36, 189)(37, 180)(38, 179)(39, 183)(40, 187)(41, 186)(42, 184)(43, 190)(44, 188)(45, 192)(46, 191)(47, 194)(48, 193)(49, 196)(50, 195)(51, 198)(52, 197)(53, 200)(54, 199)(55, 221)(56, 222)(57, 207)(58, 211)(59, 202)(60, 201)(61, 205)(62, 209)(63, 208)(64, 206)(65, 212)(66, 210)(67, 214)(68, 213)(69, 216)(70, 215)(71, 218)(72, 217)(73, 220)(74, 219)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.933
Graph:: bipartite
	v = 3 e = 148 f = 111
	degree seq :: [ 74^2, 148 ]

E18.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^37 * Y2, (Y3^-1 * Y1^-1)^74 ]
Map::
	R = (1, 75)(2, 76)(3, 77)(4, 78)(5, 79)(6, 80)(7, 81)(8, 82)(9, 83)(10, 84)(11, 85)(12, 86)(13, 87)(14, 88)(15, 89)(16, 90)(17, 91)(18, 92)(19, 93)(20, 94)(21, 95)(22, 96)(23, 97)(24, 98)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 104)(31, 105)(32, 106)(33, 107)(34, 108)(35, 109)(36, 110)(37, 111)(38, 112)(39, 113)(40, 114)(41, 115)(42, 116)(43, 117)(44, 118)(45, 119)(46, 120)(47, 121)(48, 122)(49, 123)(50, 124)(51, 125)(52, 126)(53, 127)(54, 128)(55, 129)(56, 130)(57, 131)(58, 132)(59, 133)(60, 134)(61, 135)(62, 136)(63, 137)(64, 138)(65, 139)(66, 140)(67, 141)(68, 142)(69, 143)(70, 144)(71, 145)(72, 146)(73, 147)(74, 148)(149, 223, 150, 224)(151, 225, 153, 227)(152, 226, 154, 228)(155, 229, 157, 231)(156, 230, 158, 232)(159, 233, 161, 235)(160, 234, 162, 236)(163, 237, 165, 239)(164, 238, 166, 240)(167, 241, 169, 243)(168, 242, 170, 244)(171, 245, 173, 247)(172, 246, 174, 248)(175, 249, 177, 251)(176, 250, 178, 252)(179, 253, 181, 255)(180, 254, 197, 271)(182, 256, 183, 257)(184, 258, 185, 259)(186, 260, 187, 261)(188, 262, 189, 263)(190, 264, 191, 265)(192, 266, 193, 267)(194, 268, 195, 269)(196, 270, 198, 272)(199, 273, 200, 274)(201, 275, 202, 276)(203, 277, 204, 278)(205, 279, 206, 280)(207, 281, 208, 282)(209, 283, 210, 284)(211, 285, 212, 286)(213, 287, 215, 289)(214, 288, 222, 296)(216, 290, 217, 291)(218, 292, 219, 293)(220, 294, 221, 295)
	L = (1, 151)(2, 153)(3, 155)(4, 149)(5, 157)(6, 150)(7, 159)(8, 152)(9, 161)(10, 154)(11, 163)(12, 156)(13, 165)(14, 158)(15, 167)(16, 160)(17, 169)(18, 162)(19, 171)(20, 164)(21, 173)(22, 166)(23, 175)(24, 168)(25, 177)(26, 170)(27, 179)(28, 172)(29, 181)(30, 174)(31, 183)(32, 176)(33, 182)(34, 184)(35, 185)(36, 186)(37, 187)(38, 188)(39, 189)(40, 190)(41, 191)(42, 192)(43, 193)(44, 194)(45, 195)(46, 196)(47, 198)(48, 200)(49, 178)(50, 199)(51, 201)(52, 202)(53, 203)(54, 204)(55, 205)(56, 206)(57, 207)(58, 208)(59, 209)(60, 210)(61, 211)(62, 212)(63, 213)(64, 215)(65, 217)(66, 197)(67, 216)(68, 218)(69, 219)(70, 220)(71, 221)(72, 222)(73, 214)(74, 180)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	local type(s) :: { ( 74, 148 ), ( 74, 148, 74, 148 ) }
Outer automorphisms :: reflexible
Dual of E18.932
Graph:: simple bipartite
	v = 111 e = 148 f = 3
	degree seq :: [ 2^74, 4^37 ]

E18.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-37 ]
Map::
	R = (1, 75, 2, 76, 5, 79, 9, 83, 13, 87, 17, 91, 21, 95, 25, 99, 29, 103, 40, 114, 36, 110, 33, 107, 34, 108, 37, 111, 41, 115, 44, 118, 47, 121, 49, 123, 51, 125, 53, 127, 63, 137, 59, 133, 56, 130, 57, 131, 60, 134, 64, 138, 67, 141, 70, 144, 72, 146, 55, 129, 31, 105, 27, 101, 23, 97, 19, 93, 15, 89, 11, 85, 7, 81, 3, 77, 6, 80, 10, 84, 14, 88, 18, 92, 22, 96, 26, 100, 30, 104, 46, 120, 43, 117, 39, 113, 35, 109, 38, 112, 42, 116, 45, 119, 48, 122, 50, 124, 52, 126, 54, 128, 69, 143, 66, 140, 62, 136, 58, 132, 61, 135, 65, 139, 68, 142, 71, 145, 73, 147, 74, 148, 32, 106, 28, 102, 24, 98, 20, 94, 16, 90, 12, 86, 8, 82, 4, 78)(149, 223)(150, 224)(151, 225)(152, 226)(153, 227)(154, 228)(155, 229)(156, 230)(157, 231)(158, 232)(159, 233)(160, 234)(161, 235)(162, 236)(163, 237)(164, 238)(165, 239)(166, 240)(167, 241)(168, 242)(169, 243)(170, 244)(171, 245)(172, 246)(173, 247)(174, 248)(175, 249)(176, 250)(177, 251)(178, 252)(179, 253)(180, 254)(181, 255)(182, 256)(183, 257)(184, 258)(185, 259)(186, 260)(187, 261)(188, 262)(189, 263)(190, 264)(191, 265)(192, 266)(193, 267)(194, 268)(195, 269)(196, 270)(197, 271)(198, 272)(199, 273)(200, 274)(201, 275)(202, 276)(203, 277)(204, 278)(205, 279)(206, 280)(207, 281)(208, 282)(209, 283)(210, 284)(211, 285)(212, 286)(213, 287)(214, 288)(215, 289)(216, 290)(217, 291)(218, 292)(219, 293)(220, 294)(221, 295)(222, 296)
	L = (1, 151)(2, 154)(3, 149)(4, 155)(5, 158)(6, 150)(7, 152)(8, 159)(9, 162)(10, 153)(11, 156)(12, 163)(13, 166)(14, 157)(15, 160)(16, 167)(17, 170)(18, 161)(19, 164)(20, 171)(21, 174)(22, 165)(23, 168)(24, 175)(25, 178)(26, 169)(27, 172)(28, 179)(29, 194)(30, 173)(31, 176)(32, 203)(33, 183)(34, 186)(35, 181)(36, 187)(37, 190)(38, 182)(39, 184)(40, 191)(41, 193)(42, 185)(43, 188)(44, 196)(45, 189)(46, 177)(47, 198)(48, 192)(49, 200)(50, 195)(51, 202)(52, 197)(53, 217)(54, 199)(55, 180)(56, 206)(57, 209)(58, 204)(59, 210)(60, 213)(61, 205)(62, 207)(63, 214)(64, 216)(65, 208)(66, 211)(67, 219)(68, 212)(69, 201)(70, 221)(71, 215)(72, 222)(73, 218)(74, 220)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	local type(s) :: { ( 4, 74 ), ( 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74, 4, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.931
Graph:: bipartite
	v = 75 e = 148 f = 39
	degree seq :: [ 2^74, 148 ]

E18.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^37 * Y1, (Y3 * Y2^-1)^37 ]
Map::
	R = (1, 75, 2, 76)(3, 77, 5, 79)(4, 78, 6, 80)(7, 81, 9, 83)(8, 82, 10, 84)(11, 85, 13, 87)(12, 86, 14, 88)(15, 89, 17, 91)(16, 90, 18, 92)(19, 93, 21, 95)(20, 94, 22, 96)(23, 97, 25, 99)(24, 98, 26, 100)(27, 101, 29, 103)(28, 102, 30, 104)(31, 105, 41, 115)(32, 106, 53, 127)(33, 107, 34, 108)(35, 109, 37, 111)(36, 110, 38, 112)(39, 113, 40, 114)(42, 116, 43, 117)(44, 118, 45, 119)(46, 120, 47, 121)(48, 122, 49, 123)(50, 124, 51, 125)(52, 126, 62, 136)(54, 128, 55, 129)(56, 130, 58, 132)(57, 131, 59, 133)(60, 134, 61, 135)(63, 137, 64, 138)(65, 139, 66, 140)(67, 141, 68, 142)(69, 143, 70, 144)(71, 145, 72, 146)(73, 147, 74, 148)(149, 223, 151, 225, 155, 229, 159, 233, 163, 237, 167, 241, 171, 245, 175, 249, 179, 253, 184, 258, 181, 255, 183, 257, 187, 261, 190, 264, 192, 266, 194, 268, 196, 270, 198, 272, 200, 274, 205, 279, 202, 276, 204, 278, 208, 282, 211, 285, 213, 287, 215, 289, 217, 291, 219, 293, 221, 295, 201, 275, 178, 252, 174, 248, 170, 244, 166, 240, 162, 236, 158, 232, 154, 228, 150, 224, 153, 227, 157, 231, 161, 235, 165, 239, 169, 243, 173, 247, 177, 251, 189, 263, 186, 260, 182, 256, 185, 259, 188, 262, 191, 265, 193, 267, 195, 269, 197, 271, 199, 273, 210, 284, 207, 281, 203, 277, 206, 280, 209, 283, 212, 286, 214, 288, 216, 290, 218, 292, 220, 294, 222, 296, 180, 254, 176, 250, 172, 246, 168, 242, 164, 238, 160, 234, 156, 230, 152, 226)
	L = (1, 150)(2, 149)(3, 153)(4, 154)(5, 151)(6, 152)(7, 157)(8, 158)(9, 155)(10, 156)(11, 161)(12, 162)(13, 159)(14, 160)(15, 165)(16, 166)(17, 163)(18, 164)(19, 169)(20, 170)(21, 167)(22, 168)(23, 173)(24, 174)(25, 171)(26, 172)(27, 177)(28, 178)(29, 175)(30, 176)(31, 189)(32, 201)(33, 182)(34, 181)(35, 185)(36, 186)(37, 183)(38, 184)(39, 188)(40, 187)(41, 179)(42, 191)(43, 190)(44, 193)(45, 192)(46, 195)(47, 194)(48, 197)(49, 196)(50, 199)(51, 198)(52, 210)(53, 180)(54, 203)(55, 202)(56, 206)(57, 207)(58, 204)(59, 205)(60, 209)(61, 208)(62, 200)(63, 212)(64, 211)(65, 214)(66, 213)(67, 216)(68, 215)(69, 218)(70, 217)(71, 220)(72, 219)(73, 222)(74, 221)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	local type(s) :: { ( 2, 74, 2, 74 ), ( 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74, 2, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.936
Graph:: bipartite
	v = 38 e = 148 f = 76
	degree seq :: [ 4^37, 148 ]

E18.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 37, 74})
Quotient :: dipole
Aut^+ = C74 (small group id <74, 2>)
Aut   = D148 (small group id <148, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^16 * Y3^-1 * Y1 * Y3^-17, Y3^-2 * Y1^35, (Y3 * Y2^-1)^74 ]
Map::
	R = (1, 75, 2, 76, 6, 80, 11, 85, 15, 89, 19, 93, 23, 97, 27, 101, 31, 105, 39, 113, 37, 111, 40, 114, 42, 116, 44, 118, 46, 120, 48, 122, 50, 124, 52, 126, 55, 129, 56, 130, 58, 132, 61, 135, 63, 137, 65, 139, 67, 141, 69, 143, 71, 145, 73, 147, 54, 128, 33, 107, 30, 104, 25, 99, 22, 96, 17, 91, 14, 88, 9, 83, 4, 78)(3, 77, 7, 81, 5, 79, 8, 82, 12, 86, 16, 90, 20, 94, 24, 98, 28, 102, 32, 106, 35, 109, 36, 110, 38, 112, 41, 115, 43, 117, 45, 119, 47, 121, 49, 123, 51, 125, 59, 133, 57, 131, 60, 134, 62, 136, 64, 138, 66, 140, 68, 142, 70, 144, 72, 146, 74, 148, 53, 127, 34, 108, 29, 103, 26, 100, 21, 95, 18, 92, 13, 87, 10, 84)(149, 223)(150, 224)(151, 225)(152, 226)(153, 227)(154, 228)(155, 229)(156, 230)(157, 231)(158, 232)(159, 233)(160, 234)(161, 235)(162, 236)(163, 237)(164, 238)(165, 239)(166, 240)(167, 241)(168, 242)(169, 243)(170, 244)(171, 245)(172, 246)(173, 247)(174, 248)(175, 249)(176, 250)(177, 251)(178, 252)(179, 253)(180, 254)(181, 255)(182, 256)(183, 257)(184, 258)(185, 259)(186, 260)(187, 261)(188, 262)(189, 263)(190, 264)(191, 265)(192, 266)(193, 267)(194, 268)(195, 269)(196, 270)(197, 271)(198, 272)(199, 273)(200, 274)(201, 275)(202, 276)(203, 277)(204, 278)(205, 279)(206, 280)(207, 281)(208, 282)(209, 283)(210, 284)(211, 285)(212, 286)(213, 287)(214, 288)(215, 289)(216, 290)(217, 291)(218, 292)(219, 293)(220, 294)(221, 295)(222, 296)
	L = (1, 151)(2, 155)(3, 157)(4, 158)(5, 149)(6, 153)(7, 152)(8, 150)(9, 161)(10, 162)(11, 156)(12, 154)(13, 165)(14, 166)(15, 160)(16, 159)(17, 169)(18, 170)(19, 164)(20, 163)(21, 173)(22, 174)(23, 168)(24, 167)(25, 177)(26, 178)(27, 172)(28, 171)(29, 181)(30, 182)(31, 176)(32, 175)(33, 201)(34, 202)(35, 179)(36, 187)(37, 183)(38, 185)(39, 180)(40, 184)(41, 188)(42, 186)(43, 190)(44, 189)(45, 192)(46, 191)(47, 194)(48, 193)(49, 196)(50, 195)(51, 198)(52, 197)(53, 221)(54, 222)(55, 199)(56, 207)(57, 203)(58, 205)(59, 200)(60, 204)(61, 208)(62, 206)(63, 210)(64, 209)(65, 212)(66, 211)(67, 214)(68, 213)(69, 216)(70, 215)(71, 218)(72, 217)(73, 220)(74, 219)(75, 223)(76, 224)(77, 225)(78, 226)(79, 227)(80, 228)(81, 229)(82, 230)(83, 231)(84, 232)(85, 233)(86, 234)(87, 235)(88, 236)(89, 237)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 253)(106, 254)(107, 255)(108, 256)(109, 257)(110, 258)(111, 259)(112, 260)(113, 261)(114, 262)(115, 263)(116, 264)(117, 265)(118, 266)(119, 267)(120, 268)(121, 269)(122, 270)(123, 271)(124, 272)(125, 273)(126, 274)(127, 275)(128, 276)(129, 277)(130, 278)(131, 279)(132, 280)(133, 281)(134, 282)(135, 283)(136, 284)(137, 285)(138, 286)(139, 287)(140, 288)(141, 289)(142, 290)(143, 291)(144, 292)(145, 293)(146, 294)(147, 295)(148, 296)
	local type(s) :: { ( 4, 148 ), ( 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148, 4, 148 ) }
Outer automorphisms :: reflexible
Dual of E18.935
Graph:: simple bipartite
	v = 76 e = 148 f = 38
	degree seq :: [ 2^74, 74^2 ]

E18.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 19})
Quotient :: dipole
Aut^+ = D76 (small group id <76, 3>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^19 ]
Map:: polytopal non-degenerate
	R = (1, 77, 2, 78)(3, 79, 5, 81)(4, 80, 8, 84)(6, 82, 10, 86)(7, 83, 11, 87)(9, 85, 13, 89)(12, 88, 16, 92)(14, 90, 18, 94)(15, 91, 19, 95)(17, 93, 21, 97)(20, 96, 24, 100)(22, 98, 26, 102)(23, 99, 27, 103)(25, 101, 29, 105)(28, 104, 32, 108)(30, 106, 50, 126)(31, 107, 51, 127)(33, 109, 53, 129)(34, 110, 54, 130)(35, 111, 56, 132)(36, 112, 55, 131)(37, 113, 57, 133)(38, 114, 58, 134)(39, 115, 59, 135)(40, 116, 60, 136)(41, 117, 61, 137)(42, 118, 62, 138)(43, 119, 63, 139)(44, 120, 64, 140)(45, 121, 65, 141)(46, 122, 66, 142)(47, 123, 67, 143)(48, 124, 68, 144)(49, 125, 69, 145)(52, 128, 72, 148)(70, 146, 76, 152)(71, 147, 74, 150)(73, 149, 75, 151)(153, 229, 155, 231)(154, 230, 157, 233)(156, 232, 159, 235)(158, 234, 161, 237)(160, 236, 163, 239)(162, 238, 165, 241)(164, 240, 167, 243)(166, 242, 169, 245)(168, 244, 171, 247)(170, 246, 173, 249)(172, 248, 175, 251)(174, 250, 177, 253)(176, 252, 179, 255)(178, 254, 181, 257)(180, 256, 183, 259)(182, 258, 188, 264)(184, 260, 203, 279)(185, 261, 187, 263)(186, 262, 189, 265)(190, 266, 192, 268)(191, 267, 193, 269)(194, 270, 196, 272)(195, 271, 197, 273)(198, 274, 200, 276)(199, 275, 201, 277)(202, 278, 207, 283)(204, 280, 223, 299)(205, 281, 208, 284)(206, 282, 209, 285)(210, 286, 212, 288)(211, 287, 213, 289)(214, 290, 216, 292)(215, 291, 217, 293)(218, 294, 220, 296)(219, 295, 221, 297)(222, 298, 227, 303)(224, 300, 226, 302)(225, 301, 228, 304)
	L = (1, 156)(2, 158)(3, 159)(4, 153)(5, 161)(6, 154)(7, 155)(8, 164)(9, 157)(10, 166)(11, 167)(12, 160)(13, 169)(14, 162)(15, 163)(16, 172)(17, 165)(18, 174)(19, 175)(20, 168)(21, 177)(22, 170)(23, 171)(24, 180)(25, 173)(26, 182)(27, 183)(28, 176)(29, 188)(30, 178)(31, 179)(32, 187)(33, 203)(34, 207)(35, 184)(36, 181)(37, 202)(38, 205)(39, 206)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 189)(51, 185)(52, 218)(53, 190)(54, 191)(55, 186)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 204)(67, 222)(68, 223)(69, 227)(70, 219)(71, 220)(72, 228)(73, 226)(74, 225)(75, 221)(76, 224)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.938
Graph:: simple bipartite
	v = 76 e = 152 f = 42
	degree seq :: [ 4^76 ]

E18.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 19})
Quotient :: dipole
Aut^+ = D76 (small group id <76, 3>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^19 ]
Map:: polytopal non-degenerate
	R = (1, 77, 2, 78, 6, 82, 13, 89, 21, 97, 29, 105, 37, 113, 45, 121, 53, 129, 61, 137, 68, 144, 60, 136, 52, 128, 44, 120, 36, 112, 28, 104, 20, 96, 12, 88, 5, 81)(3, 79, 9, 85, 17, 93, 25, 101, 33, 109, 41, 117, 49, 125, 57, 133, 65, 141, 72, 148, 69, 145, 62, 138, 54, 130, 46, 122, 38, 114, 30, 106, 22, 98, 14, 90, 7, 83)(4, 80, 11, 87, 19, 95, 27, 103, 35, 111, 43, 119, 51, 127, 59, 135, 67, 143, 74, 150, 70, 146, 63, 139, 55, 131, 47, 123, 39, 115, 31, 107, 23, 99, 15, 91, 8, 84)(10, 86, 16, 92, 24, 100, 32, 108, 40, 116, 48, 124, 56, 132, 64, 140, 71, 147, 75, 151, 76, 152, 73, 149, 66, 142, 58, 134, 50, 126, 42, 118, 34, 110, 26, 102, 18, 94)(153, 229, 155, 231)(154, 230, 159, 235)(156, 232, 162, 238)(157, 233, 161, 237)(158, 234, 166, 242)(160, 236, 168, 244)(163, 239, 170, 246)(164, 240, 169, 245)(165, 241, 174, 250)(167, 243, 176, 252)(171, 247, 178, 254)(172, 248, 177, 253)(173, 249, 182, 258)(175, 251, 184, 260)(179, 255, 186, 262)(180, 256, 185, 261)(181, 257, 190, 266)(183, 259, 192, 268)(187, 263, 194, 270)(188, 264, 193, 269)(189, 265, 198, 274)(191, 267, 200, 276)(195, 271, 202, 278)(196, 272, 201, 277)(197, 273, 206, 282)(199, 275, 208, 284)(203, 279, 210, 286)(204, 280, 209, 285)(205, 281, 214, 290)(207, 283, 216, 292)(211, 287, 218, 294)(212, 288, 217, 293)(213, 289, 221, 297)(215, 291, 223, 299)(219, 295, 225, 301)(220, 296, 224, 300)(222, 298, 227, 303)(226, 302, 228, 304)
	L = (1, 156)(2, 160)(3, 162)(4, 153)(5, 163)(6, 167)(7, 168)(8, 154)(9, 170)(10, 155)(11, 157)(12, 171)(13, 175)(14, 176)(15, 158)(16, 159)(17, 178)(18, 161)(19, 164)(20, 179)(21, 183)(22, 184)(23, 165)(24, 166)(25, 186)(26, 169)(27, 172)(28, 187)(29, 191)(30, 192)(31, 173)(32, 174)(33, 194)(34, 177)(35, 180)(36, 195)(37, 199)(38, 200)(39, 181)(40, 182)(41, 202)(42, 185)(43, 188)(44, 203)(45, 207)(46, 208)(47, 189)(48, 190)(49, 210)(50, 193)(51, 196)(52, 211)(53, 215)(54, 216)(55, 197)(56, 198)(57, 218)(58, 201)(59, 204)(60, 219)(61, 222)(62, 223)(63, 205)(64, 206)(65, 225)(66, 209)(67, 212)(68, 226)(69, 227)(70, 213)(71, 214)(72, 228)(73, 217)(74, 220)(75, 221)(76, 224)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 4^4 ), ( 4^38 ) }
Outer automorphisms :: reflexible
Dual of E18.937
Graph:: simple bipartite
	v = 42 e = 152 f = 76
	degree seq :: [ 4^38, 38^4 ]

E18.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 19})
Quotient :: edge
Aut^+ = C19 : C4 (small group id <76, 1>)
Aut   = (C38 x C2) : C2 (small group id <152, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^19 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 74, 73, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 75, 76, 70, 62, 54, 46, 38, 30, 22, 14)(77, 78, 82, 80)(79, 84, 89, 86)(81, 83, 90, 87)(85, 92, 97, 94)(88, 91, 98, 95)(93, 100, 105, 102)(96, 99, 106, 103)(101, 108, 113, 110)(104, 107, 114, 111)(109, 116, 121, 118)(112, 115, 122, 119)(117, 124, 129, 126)(120, 123, 130, 127)(125, 132, 137, 134)(128, 131, 138, 135)(133, 140, 145, 142)(136, 139, 146, 143)(141, 148, 151, 149)(144, 147, 152, 150)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 8^4 ), ( 8^19 ) }
Outer automorphisms :: reflexible
Dual of E18.940
Transitivity :: ET+
Graph:: simple bipartite
	v = 23 e = 76 f = 19
	degree seq :: [ 4^19, 19^4 ]

E18.940 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 19})
Quotient :: loop
Aut^+ = C19 : C4 (small group id <76, 1>)
Aut   = (C38 x C2) : C2 (small group id <152, 7>)
|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)^19 ]
Map:: non-degenerate
	R = (1, 77, 3, 79, 6, 82, 5, 81)(2, 78, 7, 83, 4, 80, 8, 84)(9, 85, 13, 89, 10, 86, 14, 90)(11, 87, 15, 91, 12, 88, 16, 92)(17, 93, 21, 97, 18, 94, 22, 98)(19, 95, 23, 99, 20, 96, 24, 100)(25, 101, 29, 105, 26, 102, 30, 106)(27, 103, 31, 107, 28, 104, 32, 108)(33, 109, 45, 121, 34, 110, 46, 122)(35, 111, 62, 138, 40, 116, 65, 141)(36, 112, 67, 143, 38, 114, 70, 146)(37, 113, 66, 142, 39, 115, 69, 145)(41, 117, 64, 140, 42, 118, 61, 137)(43, 119, 57, 133, 44, 120, 59, 135)(47, 123, 63, 139, 48, 124, 71, 147)(49, 125, 68, 144, 50, 126, 72, 148)(51, 127, 73, 149, 52, 128, 74, 150)(53, 129, 75, 151, 54, 130, 76, 152)(55, 131, 60, 136, 56, 132, 58, 134)
	L = (1, 78)(2, 82)(3, 85)(4, 77)(5, 86)(6, 80)(7, 87)(8, 88)(9, 81)(10, 79)(11, 84)(12, 83)(13, 93)(14, 94)(15, 95)(16, 96)(17, 90)(18, 89)(19, 92)(20, 91)(21, 101)(22, 102)(23, 103)(24, 104)(25, 98)(26, 97)(27, 100)(28, 99)(29, 109)(30, 110)(31, 133)(32, 135)(33, 106)(34, 105)(35, 137)(36, 142)(37, 147)(38, 145)(39, 139)(40, 140)(41, 148)(42, 144)(43, 141)(44, 138)(45, 146)(46, 143)(47, 150)(48, 149)(49, 152)(50, 151)(51, 134)(52, 136)(53, 132)(54, 131)(55, 129)(56, 130)(57, 108)(58, 128)(59, 107)(60, 127)(61, 116)(62, 119)(63, 113)(64, 111)(65, 120)(66, 114)(67, 121)(68, 117)(69, 112)(70, 122)(71, 115)(72, 118)(73, 123)(74, 124)(75, 125)(76, 126)
	local type(s) :: { ( 4, 19, 4, 19, 4, 19, 4, 19 ) }
Outer automorphisms :: reflexible
Dual of E18.939
Transitivity :: ET+ VT+ AT
Graph::
	v = 19 e = 76 f = 23
	degree seq :: [ 8^19 ]

E18.941 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 19})
Quotient :: dipole
Aut^+ = C19 : C4 (small group id <76, 1>)
Aut   = (C38 x C2) : C2 (small group id <152, 7>)
|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, Y2^19 ]
Map::
	R = (1, 77, 2, 78, 6, 82, 4, 80)(3, 79, 8, 84, 13, 89, 10, 86)(5, 81, 7, 83, 14, 90, 11, 87)(9, 85, 16, 92, 21, 97, 18, 94)(12, 88, 15, 91, 22, 98, 19, 95)(17, 93, 24, 100, 29, 105, 26, 102)(20, 96, 23, 99, 30, 106, 27, 103)(25, 101, 32, 108, 37, 113, 34, 110)(28, 104, 31, 107, 38, 114, 35, 111)(33, 109, 40, 116, 45, 121, 42, 118)(36, 112, 39, 115, 46, 122, 43, 119)(41, 117, 48, 124, 53, 129, 50, 126)(44, 120, 47, 123, 54, 130, 51, 127)(49, 125, 56, 132, 61, 137, 58, 134)(52, 128, 55, 131, 62, 138, 59, 135)(57, 133, 64, 140, 69, 145, 66, 142)(60, 136, 63, 139, 70, 146, 67, 143)(65, 141, 72, 148, 75, 151, 73, 149)(68, 144, 71, 147, 76, 152, 74, 150)(153, 229, 155, 231, 161, 237, 169, 245, 177, 253, 185, 261, 193, 269, 201, 277, 209, 285, 217, 293, 220, 296, 212, 288, 204, 280, 196, 272, 188, 264, 180, 256, 172, 248, 164, 240, 157, 233)(154, 230, 159, 235, 167, 243, 175, 251, 183, 259, 191, 267, 199, 275, 207, 283, 215, 291, 223, 299, 224, 300, 216, 292, 208, 284, 200, 276, 192, 268, 184, 260, 176, 252, 168, 244, 160, 236)(156, 232, 163, 239, 171, 247, 179, 255, 187, 263, 195, 271, 203, 279, 211, 287, 219, 295, 226, 302, 225, 301, 218, 294, 210, 286, 202, 278, 194, 270, 186, 262, 178, 254, 170, 246, 162, 238)(158, 234, 165, 241, 173, 249, 181, 257, 189, 265, 197, 273, 205, 281, 213, 289, 221, 297, 227, 303, 228, 304, 222, 298, 214, 290, 206, 282, 198, 274, 190, 266, 182, 258, 174, 250, 166, 242)
	L = (1, 155)(2, 159)(3, 161)(4, 163)(5, 153)(6, 165)(7, 167)(8, 154)(9, 169)(10, 156)(11, 171)(12, 157)(13, 173)(14, 158)(15, 175)(16, 160)(17, 177)(18, 162)(19, 179)(20, 164)(21, 181)(22, 166)(23, 183)(24, 168)(25, 185)(26, 170)(27, 187)(28, 172)(29, 189)(30, 174)(31, 191)(32, 176)(33, 193)(34, 178)(35, 195)(36, 180)(37, 197)(38, 182)(39, 199)(40, 184)(41, 201)(42, 186)(43, 203)(44, 188)(45, 205)(46, 190)(47, 207)(48, 192)(49, 209)(50, 194)(51, 211)(52, 196)(53, 213)(54, 198)(55, 215)(56, 200)(57, 217)(58, 202)(59, 219)(60, 204)(61, 221)(62, 206)(63, 223)(64, 208)(65, 220)(66, 210)(67, 226)(68, 212)(69, 227)(70, 214)(71, 224)(72, 216)(73, 218)(74, 225)(75, 228)(76, 222)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.942
Graph:: bipartite
	v = 23 e = 152 f = 95
	degree seq :: [ 8^19, 38^4 ]

E18.942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 19})
Quotient :: dipole
Aut^+ = C19 : C4 (small group id <76, 1>)
Aut   = (C38 x C2) : C2 (small group id <152, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^19 ]
Map::
	R = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)(153, 229, 154, 230, 158, 234, 156, 232)(155, 231, 160, 236, 165, 241, 162, 238)(157, 233, 159, 235, 166, 242, 163, 239)(161, 237, 168, 244, 173, 249, 170, 246)(164, 240, 167, 243, 174, 250, 171, 247)(169, 245, 176, 252, 181, 257, 178, 254)(172, 248, 175, 251, 182, 258, 179, 255)(177, 253, 184, 260, 189, 265, 186, 262)(180, 256, 183, 259, 190, 266, 187, 263)(185, 261, 192, 268, 197, 273, 194, 270)(188, 264, 191, 267, 198, 274, 195, 271)(193, 269, 200, 276, 205, 281, 202, 278)(196, 272, 199, 275, 206, 282, 203, 279)(201, 277, 208, 284, 213, 289, 210, 286)(204, 280, 207, 283, 214, 290, 211, 287)(209, 285, 216, 292, 221, 297, 218, 294)(212, 288, 215, 291, 222, 298, 219, 295)(217, 293, 224, 300, 227, 303, 225, 301)(220, 296, 223, 299, 228, 304, 226, 302)
	L = (1, 155)(2, 159)(3, 161)(4, 163)(5, 153)(6, 165)(7, 167)(8, 154)(9, 169)(10, 156)(11, 171)(12, 157)(13, 173)(14, 158)(15, 175)(16, 160)(17, 177)(18, 162)(19, 179)(20, 164)(21, 181)(22, 166)(23, 183)(24, 168)(25, 185)(26, 170)(27, 187)(28, 172)(29, 189)(30, 174)(31, 191)(32, 176)(33, 193)(34, 178)(35, 195)(36, 180)(37, 197)(38, 182)(39, 199)(40, 184)(41, 201)(42, 186)(43, 203)(44, 188)(45, 205)(46, 190)(47, 207)(48, 192)(49, 209)(50, 194)(51, 211)(52, 196)(53, 213)(54, 198)(55, 215)(56, 200)(57, 217)(58, 202)(59, 219)(60, 204)(61, 221)(62, 206)(63, 223)(64, 208)(65, 220)(66, 210)(67, 226)(68, 212)(69, 227)(70, 214)(71, 224)(72, 216)(73, 218)(74, 225)(75, 228)(76, 222)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 8, 38 ), ( 8, 38, 8, 38, 8, 38, 8, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.941
Graph:: simple bipartite
	v = 95 e = 152 f = 23
	degree seq :: [ 2^76, 8^19 ]

E18.943 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 38, 38})
Quotient :: regular
Aut^+ = C38 x C2 (small group id <76, 4>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^38 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 47, 43, 39, 35, 38, 42, 46, 50, 52, 54, 56, 73, 69, 65, 61, 58, 59, 62, 66, 70, 74, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 48, 44, 40, 36, 33, 34, 37, 41, 45, 49, 51, 53, 55, 72, 68, 64, 60, 63, 67, 71, 75, 76, 57, 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, 48)(32, 57)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 46)(44, 47)(45, 50)(49, 52)(51, 54)(53, 56)(55, 73)(58, 60)(59, 63)(61, 64)(62, 67)(65, 68)(66, 71)(69, 72)(70, 75)(74, 76)
	local type(s) :: { ( 38^38 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 38 f = 2
	degree seq :: [ 38^2 ]

E18.944 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 38, 38})
Quotient :: edge
Aut^+ = C38 x C2 (small group id <76, 4>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^38 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 40, 36, 33, 35, 39, 43, 46, 48, 50, 52, 54, 63, 59, 56, 58, 62, 66, 69, 71, 73, 75, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 45, 42, 38, 34, 37, 41, 44, 47, 49, 51, 53, 68, 65, 61, 57, 60, 64, 67, 70, 72, 74, 76, 55, 30, 26, 22, 18, 14, 10, 6)(77, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 121)(108, 131)(109, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 120)(122, 123)(124, 125)(126, 127)(128, 129)(130, 144)(132, 133)(134, 136)(135, 137)(138, 140)(139, 141)(142, 143)(145, 146)(147, 148)(149, 150)(151, 152)
	L = (1, 77)(2, 78)(3, 79)(4, 80)(5, 81)(6, 82)(7, 83)(8, 84)(9, 85)(10, 86)(11, 87)(12, 88)(13, 89)(14, 90)(15, 91)(16, 92)(17, 93)(18, 94)(19, 95)(20, 96)(21, 97)(22, 98)(23, 99)(24, 100)(25, 101)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 110)(35, 111)(36, 112)(37, 113)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 119)(44, 120)(45, 121)(46, 122)(47, 123)(48, 124)(49, 125)(50, 126)(51, 127)(52, 128)(53, 129)(54, 130)(55, 131)(56, 132)(57, 133)(58, 134)(59, 135)(60, 136)(61, 137)(62, 138)(63, 139)(64, 140)(65, 141)(66, 142)(67, 143)(68, 144)(69, 145)(70, 146)(71, 147)(72, 148)(73, 149)(74, 150)(75, 151)(76, 152)
	local type(s) :: { ( 76, 76 ), ( 76^38 ) }
Outer automorphisms :: reflexible
Dual of E18.945
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 76 f = 2
	degree seq :: [ 2^38, 38^2 ]

E18.945 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 38, 38})
Quotient :: loop
Aut^+ = C38 x C2 (small group id <76, 4>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^38 ]
Map::
	R = (1, 77, 3, 79, 7, 83, 11, 87, 15, 91, 19, 95, 23, 99, 27, 103, 31, 107, 35, 111, 37, 113, 39, 115, 41, 117, 43, 119, 45, 121, 47, 123, 50, 126, 51, 127, 53, 129, 55, 131, 57, 133, 59, 135, 61, 137, 63, 139, 65, 141, 69, 145, 71, 147, 73, 149, 75, 151, 76, 152, 32, 108, 28, 104, 24, 100, 20, 96, 16, 92, 12, 88, 8, 84, 4, 80)(2, 78, 5, 81, 9, 85, 13, 89, 17, 93, 21, 97, 25, 101, 29, 105, 33, 109, 34, 110, 36, 112, 38, 114, 40, 116, 42, 118, 44, 120, 46, 122, 48, 124, 52, 128, 54, 130, 56, 132, 58, 134, 60, 136, 62, 138, 64, 140, 67, 143, 68, 144, 70, 146, 72, 148, 74, 150, 66, 142, 49, 125, 30, 106, 26, 102, 22, 98, 18, 94, 14, 90, 10, 86, 6, 82)
	L = (1, 78)(2, 77)(3, 81)(4, 82)(5, 79)(6, 80)(7, 85)(8, 86)(9, 83)(10, 84)(11, 89)(12, 90)(13, 87)(14, 88)(15, 93)(16, 94)(17, 91)(18, 92)(19, 97)(20, 98)(21, 95)(22, 96)(23, 101)(24, 102)(25, 99)(26, 100)(27, 105)(28, 106)(29, 103)(30, 104)(31, 109)(32, 125)(33, 107)(34, 111)(35, 110)(36, 113)(37, 112)(38, 115)(39, 114)(40, 117)(41, 116)(42, 119)(43, 118)(44, 121)(45, 120)(46, 123)(47, 122)(48, 126)(49, 108)(50, 124)(51, 128)(52, 127)(53, 130)(54, 129)(55, 132)(56, 131)(57, 134)(58, 133)(59, 136)(60, 135)(61, 138)(62, 137)(63, 140)(64, 139)(65, 143)(66, 152)(67, 141)(68, 145)(69, 144)(70, 147)(71, 146)(72, 149)(73, 148)(74, 151)(75, 150)(76, 142)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.944
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 76 f = 40
	degree seq :: [ 76^2 ]

E18.946 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38})
Quotient :: dipole
Aut^+ = C38 x C2 (small group id <76, 4>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^38, (Y3 * Y2^-1)^38 ]
Map::
	R = (1, 77, 2, 78)(3, 79, 5, 81)(4, 80, 6, 82)(7, 83, 9, 85)(8, 84, 10, 86)(11, 87, 13, 89)(12, 88, 14, 90)(15, 91, 17, 93)(16, 92, 18, 94)(19, 95, 21, 97)(20, 96, 22, 98)(23, 99, 25, 101)(24, 100, 26, 102)(27, 103, 29, 105)(28, 104, 30, 106)(31, 107, 41, 117)(32, 108, 53, 129)(33, 109, 34, 110)(35, 111, 37, 113)(36, 112, 38, 114)(39, 115, 40, 116)(42, 118, 43, 119)(44, 120, 45, 121)(46, 122, 47, 123)(48, 124, 49, 125)(50, 126, 51, 127)(52, 128, 62, 138)(54, 130, 55, 131)(56, 132, 58, 134)(57, 133, 59, 135)(60, 136, 61, 137)(63, 139, 64, 140)(65, 141, 66, 142)(67, 143, 68, 144)(69, 145, 70, 146)(71, 147, 72, 148)(73, 149, 76, 152)(74, 150, 75, 151)(153, 229, 155, 231, 159, 235, 163, 239, 167, 243, 171, 247, 175, 251, 179, 255, 183, 259, 188, 264, 185, 261, 187, 263, 191, 267, 194, 270, 196, 272, 198, 274, 200, 276, 202, 278, 204, 280, 209, 285, 206, 282, 208, 284, 212, 288, 215, 291, 217, 293, 219, 295, 221, 297, 223, 299, 225, 301, 227, 303, 184, 260, 180, 256, 176, 252, 172, 248, 168, 244, 164, 240, 160, 236, 156, 232)(154, 230, 157, 233, 161, 237, 165, 241, 169, 245, 173, 249, 177, 253, 181, 257, 193, 269, 190, 266, 186, 262, 189, 265, 192, 268, 195, 271, 197, 273, 199, 275, 201, 277, 203, 279, 214, 290, 211, 287, 207, 283, 210, 286, 213, 289, 216, 292, 218, 294, 220, 296, 222, 298, 224, 300, 228, 304, 226, 302, 205, 281, 182, 258, 178, 254, 174, 250, 170, 246, 166, 242, 162, 238, 158, 234)
	L = (1, 154)(2, 153)(3, 157)(4, 158)(5, 155)(6, 156)(7, 161)(8, 162)(9, 159)(10, 160)(11, 165)(12, 166)(13, 163)(14, 164)(15, 169)(16, 170)(17, 167)(18, 168)(19, 173)(20, 174)(21, 171)(22, 172)(23, 177)(24, 178)(25, 175)(26, 176)(27, 181)(28, 182)(29, 179)(30, 180)(31, 193)(32, 205)(33, 186)(34, 185)(35, 189)(36, 190)(37, 187)(38, 188)(39, 192)(40, 191)(41, 183)(42, 195)(43, 194)(44, 197)(45, 196)(46, 199)(47, 198)(48, 201)(49, 200)(50, 203)(51, 202)(52, 214)(53, 184)(54, 207)(55, 206)(56, 210)(57, 211)(58, 208)(59, 209)(60, 213)(61, 212)(62, 204)(63, 216)(64, 215)(65, 218)(66, 217)(67, 220)(68, 219)(69, 222)(70, 221)(71, 224)(72, 223)(73, 228)(74, 227)(75, 226)(76, 225)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.947
Graph:: bipartite
	v = 40 e = 152 f = 78
	degree seq :: [ 4^38, 76^2 ]

E18.947 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 38, 38})
Quotient :: dipole
Aut^+ = C38 x C2 (small group id <76, 4>)
Aut   = C2 x C2 x D38 (small group id <152, 11>)
|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^-38, Y1^38 ]
Map::
	R = (1, 77, 2, 78, 5, 81, 9, 85, 13, 89, 17, 93, 21, 97, 25, 101, 29, 105, 35, 111, 38, 114, 40, 116, 42, 118, 44, 120, 46, 122, 48, 124, 50, 126, 55, 131, 52, 128, 53, 129, 56, 132, 58, 134, 60, 136, 62, 138, 64, 140, 66, 142, 68, 144, 73, 149, 75, 151, 76, 152, 32, 108, 28, 104, 24, 100, 20, 96, 16, 92, 12, 88, 8, 84, 4, 80)(3, 79, 6, 82, 10, 86, 14, 90, 18, 94, 22, 98, 26, 102, 30, 106, 36, 112, 33, 109, 34, 110, 37, 113, 39, 115, 41, 117, 43, 119, 45, 121, 47, 123, 49, 125, 54, 130, 57, 133, 59, 135, 61, 137, 63, 139, 65, 141, 67, 143, 69, 145, 74, 150, 71, 147, 72, 148, 70, 146, 51, 127, 31, 107, 27, 103, 23, 99, 19, 95, 15, 91, 11, 87, 7, 83)(153, 229)(154, 230)(155, 231)(156, 232)(157, 233)(158, 234)(159, 235)(160, 236)(161, 237)(162, 238)(163, 239)(164, 240)(165, 241)(166, 242)(167, 243)(168, 244)(169, 245)(170, 246)(171, 247)(172, 248)(173, 249)(174, 250)(175, 251)(176, 252)(177, 253)(178, 254)(179, 255)(180, 256)(181, 257)(182, 258)(183, 259)(184, 260)(185, 261)(186, 262)(187, 263)(188, 264)(189, 265)(190, 266)(191, 267)(192, 268)(193, 269)(194, 270)(195, 271)(196, 272)(197, 273)(198, 274)(199, 275)(200, 276)(201, 277)(202, 278)(203, 279)(204, 280)(205, 281)(206, 282)(207, 283)(208, 284)(209, 285)(210, 286)(211, 287)(212, 288)(213, 289)(214, 290)(215, 291)(216, 292)(217, 293)(218, 294)(219, 295)(220, 296)(221, 297)(222, 298)(223, 299)(224, 300)(225, 301)(226, 302)(227, 303)(228, 304)
	L = (1, 155)(2, 158)(3, 153)(4, 159)(5, 162)(6, 154)(7, 156)(8, 163)(9, 166)(10, 157)(11, 160)(12, 167)(13, 170)(14, 161)(15, 164)(16, 171)(17, 174)(18, 165)(19, 168)(20, 175)(21, 178)(22, 169)(23, 172)(24, 179)(25, 182)(26, 173)(27, 176)(28, 183)(29, 188)(30, 177)(31, 180)(32, 203)(33, 187)(34, 190)(35, 185)(36, 181)(37, 192)(38, 186)(39, 194)(40, 189)(41, 196)(42, 191)(43, 198)(44, 193)(45, 200)(46, 195)(47, 202)(48, 197)(49, 207)(50, 199)(51, 184)(52, 206)(53, 209)(54, 204)(55, 201)(56, 211)(57, 205)(58, 213)(59, 208)(60, 215)(61, 210)(62, 217)(63, 212)(64, 219)(65, 214)(66, 221)(67, 216)(68, 226)(69, 218)(70, 228)(71, 225)(72, 227)(73, 223)(74, 220)(75, 224)(76, 222)(77, 229)(78, 230)(79, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 4, 76 ), ( 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.946
Graph:: simple bipartite
	v = 78 e = 152 f = 40
	degree seq :: [ 2^76, 76^2 ]

E18.948 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 26, 39})
Quotient :: regular
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|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, T2 * T1^2 * T2 * T1^11 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 72, 60, 48, 34, 46, 32, 16, 28, 43, 57, 69, 77, 78, 71, 59, 47, 33, 17, 29, 44, 31, 45, 58, 70, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 75, 63, 51, 37, 21, 30, 14, 6, 13, 27, 40, 55, 68, 74, 62, 50, 36, 20, 9, 19, 26, 12, 25, 42, 54, 67, 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, 74)(67, 77)(68, 76)(75, 78)
	local type(s) :: { ( 26^39 ) }
Outer automorphisms :: reflexible
Dual of E18.949
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 39 f = 3
	degree seq :: [ 39^2 ]

E18.949 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 26, 39})
Quotient :: regular
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^-2 * T2 * T1^2 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^4 * T2 * T1 * T2 * T1^5 * T2 * T1^3, T1^26 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 67, 55, 41, 54, 40, 53, 39, 52, 66, 78, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 70, 58, 44, 29, 38, 24, 37, 23, 36, 50, 65, 76, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 68, 56, 42, 27, 16, 26, 15, 25, 35, 51, 64, 77, 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, 73)(71, 75)(72, 77)
	local type(s) :: { ( 39^26 ) }
Outer automorphisms :: reflexible
Dual of E18.948
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 3 e = 39 f = 2
	degree seq :: [ 26^3 ]

E18.950 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 39})
Quotient :: edge
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|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^-5 * T1 * T2^-7 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 69, 76, 64, 52, 36, 50, 34, 48, 32, 47, 61, 73, 72, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 63, 75, 70, 58, 44, 29, 42, 27, 40, 25, 39, 55, 67, 78, 66, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 68, 77, 65, 53, 37, 23, 13, 21, 11, 20, 33, 49, 62, 74, 71, 59, 45, 30, 18, 9, 16)(79, 80)(81, 85)(82, 87)(83, 89)(84, 91)(86, 90)(88, 92)(93, 103)(94, 105)(95, 104)(96, 107)(97, 108)(98, 110)(99, 112)(100, 111)(101, 114)(102, 115)(106, 113)(109, 116)(117, 125)(118, 126)(119, 133)(120, 128)(121, 134)(122, 130)(123, 136)(124, 137)(127, 139)(129, 140)(131, 142)(132, 143)(135, 141)(138, 144)(145, 151)(146, 156)(147, 155)(148, 154)(149, 153)(150, 152)
	L = (1, 79)(2, 80)(3, 81)(4, 82)(5, 83)(6, 84)(7, 85)(8, 86)(9, 87)(10, 88)(11, 89)(12, 90)(13, 91)(14, 92)(15, 93)(16, 94)(17, 95)(18, 96)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 103)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40, 118)(41, 119)(42, 120)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 127)(50, 128)(51, 129)(52, 130)(53, 131)(54, 132)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 139)(62, 140)(63, 141)(64, 142)(65, 143)(66, 144)(67, 145)(68, 146)(69, 147)(70, 148)(71, 149)(72, 150)(73, 151)(74, 152)(75, 153)(76, 154)(77, 155)(78, 156)
	local type(s) :: { ( 78, 78 ), ( 78^26 ) }
Outer automorphisms :: reflexible
Dual of E18.954
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 78 f = 2
	degree seq :: [ 2^39, 26^3 ]

E18.951 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 39})
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 * T2)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3, T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^4 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1^23, T1^-1 * T2^2 * T1^-1 * T2^35 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 70, 54, 34, 21, 42, 60, 39, 20, 13, 28, 50, 64, 76, 71, 59, 38, 18, 6, 17, 36, 57, 41, 30, 52, 66, 78, 67, 55, 43, 33, 15, 5)(2, 7, 19, 40, 26, 49, 65, 74, 68, 53, 37, 32, 45, 23, 9, 4, 12, 29, 48, 63, 77, 72, 56, 35, 16, 14, 31, 46, 24, 11, 27, 51, 62, 75, 69, 58, 44, 22, 8)(79, 80, 84, 94, 112, 131, 145, 153, 142, 126, 103, 118, 135, 124, 138, 123, 111, 122, 137, 150, 151, 143, 130, 105, 91, 82)(81, 87, 95, 86, 99, 113, 133, 146, 154, 140, 125, 107, 119, 97, 117, 109, 93, 110, 116, 136, 148, 155, 144, 127, 106, 89)(83, 92, 96, 115, 132, 147, 156, 141, 128, 104, 88, 102, 114, 101, 120, 100, 121, 134, 149, 152, 139, 129, 108, 90, 98, 85)
	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) :: { ( 4^26 ), ( 4^39 ) }
Outer automorphisms :: reflexible
Dual of E18.955
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 78 f = 39
	degree seq :: [ 26^3, 39^2 ]

E18.952 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 26, 39})
Quotient :: edge
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|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, T2 * T1^2 * T2 * T1^11 ]
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, 74)(67, 77)(68, 76)(75, 78)(79, 80, 83, 89, 101, 117, 131, 143, 150, 138, 126, 112, 124, 110, 94, 106, 121, 135, 147, 155, 156, 149, 137, 125, 111, 95, 107, 122, 109, 123, 136, 148, 154, 142, 130, 116, 100, 88, 82)(81, 85, 93, 102, 119, 134, 144, 153, 141, 129, 115, 99, 108, 92, 84, 91, 105, 118, 133, 146, 152, 140, 128, 114, 98, 87, 97, 104, 90, 103, 120, 132, 145, 151, 139, 127, 113, 96, 86)
	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, 52 ), ( 52^39 ) }
Outer automorphisms :: reflexible
Dual of E18.953
Transitivity :: ET+
Graph:: simple bipartite
	v = 41 e = 78 f = 3
	degree seq :: [ 2^39, 39^2 ]

E18.953 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 39})
Quotient :: loop
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|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^-5 * T1 * T2^-7 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 79, 3, 81, 8, 86, 17, 95, 28, 106, 43, 121, 57, 135, 69, 147, 76, 154, 64, 142, 52, 130, 36, 114, 50, 128, 34, 112, 48, 126, 32, 110, 47, 125, 61, 139, 73, 151, 72, 150, 60, 138, 46, 124, 31, 109, 19, 97, 10, 88, 4, 82)(2, 80, 5, 83, 12, 90, 22, 100, 35, 113, 51, 129, 63, 141, 75, 153, 70, 148, 58, 136, 44, 122, 29, 107, 42, 120, 27, 105, 40, 118, 25, 103, 39, 117, 55, 133, 67, 145, 78, 156, 66, 144, 54, 132, 38, 116, 24, 102, 14, 92, 6, 84)(7, 85, 15, 93, 26, 104, 41, 119, 56, 134, 68, 146, 77, 155, 65, 143, 53, 131, 37, 115, 23, 101, 13, 91, 21, 99, 11, 89, 20, 98, 33, 111, 49, 127, 62, 140, 74, 152, 71, 149, 59, 137, 45, 123, 30, 108, 18, 96, 9, 87, 16, 94)
	L = (1, 80)(2, 79)(3, 85)(4, 87)(5, 89)(6, 91)(7, 81)(8, 90)(9, 82)(10, 92)(11, 83)(12, 86)(13, 84)(14, 88)(15, 103)(16, 105)(17, 104)(18, 107)(19, 108)(20, 110)(21, 112)(22, 111)(23, 114)(24, 115)(25, 93)(26, 95)(27, 94)(28, 113)(29, 96)(30, 97)(31, 116)(32, 98)(33, 100)(34, 99)(35, 106)(36, 101)(37, 102)(38, 109)(39, 125)(40, 126)(41, 133)(42, 128)(43, 134)(44, 130)(45, 136)(46, 137)(47, 117)(48, 118)(49, 139)(50, 120)(51, 140)(52, 122)(53, 142)(54, 143)(55, 119)(56, 121)(57, 141)(58, 123)(59, 124)(60, 144)(61, 127)(62, 129)(63, 135)(64, 131)(65, 132)(66, 138)(67, 151)(68, 156)(69, 155)(70, 154)(71, 153)(72, 152)(73, 145)(74, 150)(75, 149)(76, 148)(77, 147)(78, 146)
	local type(s) :: { ( 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39, 2, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.952
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 78 f = 41
	degree seq :: [ 52^3 ]

E18.954 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 39})
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 * T2)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1^-3 * T2^-1 * T1, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3, T2^-1 * T1 * T2^-1 * T1^2 * T2^-1 * T1^4 * T2^-2 * T1, T2^-1 * T1 * T2^-1 * T1^23, T1^-1 * T2^2 * T1^-1 * T2^35 ]
Map::
	R = (1, 79, 3, 81, 10, 88, 25, 103, 47, 125, 61, 139, 73, 151, 70, 148, 54, 132, 34, 112, 21, 99, 42, 120, 60, 138, 39, 117, 20, 98, 13, 91, 28, 106, 50, 128, 64, 142, 76, 154, 71, 149, 59, 137, 38, 116, 18, 96, 6, 84, 17, 95, 36, 114, 57, 135, 41, 119, 30, 108, 52, 130, 66, 144, 78, 156, 67, 145, 55, 133, 43, 121, 33, 111, 15, 93, 5, 83)(2, 80, 7, 85, 19, 97, 40, 118, 26, 104, 49, 127, 65, 143, 74, 152, 68, 146, 53, 131, 37, 115, 32, 110, 45, 123, 23, 101, 9, 87, 4, 82, 12, 90, 29, 107, 48, 126, 63, 141, 77, 155, 72, 150, 56, 134, 35, 113, 16, 94, 14, 92, 31, 109, 46, 124, 24, 102, 11, 89, 27, 105, 51, 129, 62, 140, 75, 153, 69, 147, 58, 136, 44, 122, 22, 100, 8, 86)
	L = (1, 80)(2, 84)(3, 87)(4, 79)(5, 92)(6, 94)(7, 83)(8, 99)(9, 95)(10, 102)(11, 81)(12, 98)(13, 82)(14, 96)(15, 110)(16, 112)(17, 86)(18, 115)(19, 117)(20, 85)(21, 113)(22, 121)(23, 120)(24, 114)(25, 118)(26, 88)(27, 91)(28, 89)(29, 119)(30, 90)(31, 93)(32, 116)(33, 122)(34, 131)(35, 133)(36, 101)(37, 132)(38, 136)(39, 109)(40, 135)(41, 97)(42, 100)(43, 134)(44, 137)(45, 111)(46, 138)(47, 107)(48, 103)(49, 106)(50, 104)(51, 108)(52, 105)(53, 145)(54, 147)(55, 146)(56, 149)(57, 124)(58, 148)(59, 150)(60, 123)(61, 129)(62, 125)(63, 128)(64, 126)(65, 130)(66, 127)(67, 153)(68, 154)(69, 156)(70, 155)(71, 152)(72, 151)(73, 143)(74, 139)(75, 142)(76, 140)(77, 144)(78, 141)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.950
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 78 f = 42
	degree seq :: [ 78^2 ]

E18.955 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 26, 39})
Quotient :: loop
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|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, T2 * T1^2 * T2 * T1^11 ]
Map:: polytopal non-degenerate
	R = (1, 79, 3, 81)(2, 80, 6, 84)(4, 82, 9, 87)(5, 83, 12, 90)(7, 85, 16, 94)(8, 86, 17, 95)(10, 88, 21, 99)(11, 89, 24, 102)(13, 91, 28, 106)(14, 92, 29, 107)(15, 93, 31, 109)(18, 96, 34, 112)(19, 97, 32, 110)(20, 98, 33, 111)(22, 100, 35, 113)(23, 101, 40, 118)(25, 103, 43, 121)(26, 104, 44, 122)(27, 105, 45, 123)(30, 108, 46, 124)(36, 114, 48, 126)(37, 115, 47, 125)(38, 116, 50, 128)(39, 117, 54, 132)(41, 119, 57, 135)(42, 120, 58, 136)(49, 127, 59, 137)(51, 129, 60, 138)(52, 130, 63, 141)(53, 131, 66, 144)(55, 133, 69, 147)(56, 134, 70, 148)(61, 139, 72, 150)(62, 140, 71, 149)(64, 142, 73, 151)(65, 143, 74, 152)(67, 145, 77, 155)(68, 146, 76, 154)(75, 153, 78, 156)
	L = (1, 80)(2, 83)(3, 85)(4, 79)(5, 89)(6, 91)(7, 93)(8, 81)(9, 97)(10, 82)(11, 101)(12, 103)(13, 105)(14, 84)(15, 102)(16, 106)(17, 107)(18, 86)(19, 104)(20, 87)(21, 108)(22, 88)(23, 117)(24, 119)(25, 120)(26, 90)(27, 118)(28, 121)(29, 122)(30, 92)(31, 123)(32, 94)(33, 95)(34, 124)(35, 96)(36, 98)(37, 99)(38, 100)(39, 131)(40, 133)(41, 134)(42, 132)(43, 135)(44, 109)(45, 136)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 143)(54, 145)(55, 146)(56, 144)(57, 147)(58, 148)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 150)(66, 153)(67, 151)(68, 152)(69, 155)(70, 154)(71, 137)(72, 138)(73, 139)(74, 140)(75, 141)(76, 142)(77, 156)(78, 149)
	local type(s) :: { ( 26, 39, 26, 39 ) }
Outer automorphisms :: reflexible
Dual of E18.951
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 39 e = 78 f = 5
	degree seq :: [ 4^39 ]

E18.956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
Quotient :: dipole
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^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^-5 * Y1 * Y2^-7 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 7, 85)(4, 82, 9, 87)(5, 83, 11, 89)(6, 84, 13, 91)(8, 86, 12, 90)(10, 88, 14, 92)(15, 93, 25, 103)(16, 94, 27, 105)(17, 95, 26, 104)(18, 96, 29, 107)(19, 97, 30, 108)(20, 98, 32, 110)(21, 99, 34, 112)(22, 100, 33, 111)(23, 101, 36, 114)(24, 102, 37, 115)(28, 106, 35, 113)(31, 109, 38, 116)(39, 117, 47, 125)(40, 118, 48, 126)(41, 119, 55, 133)(42, 120, 50, 128)(43, 121, 56, 134)(44, 122, 52, 130)(45, 123, 58, 136)(46, 124, 59, 137)(49, 127, 61, 139)(51, 129, 62, 140)(53, 131, 64, 142)(54, 132, 65, 143)(57, 135, 63, 141)(60, 138, 66, 144)(67, 145, 73, 151)(68, 146, 78, 156)(69, 147, 77, 155)(70, 148, 76, 154)(71, 149, 75, 153)(72, 150, 74, 152)(157, 235, 159, 237, 164, 242, 173, 251, 184, 262, 199, 277, 213, 291, 225, 303, 232, 310, 220, 298, 208, 286, 192, 270, 206, 284, 190, 268, 204, 282, 188, 266, 203, 281, 217, 295, 229, 307, 228, 306, 216, 294, 202, 280, 187, 265, 175, 253, 166, 244, 160, 238)(158, 236, 161, 239, 168, 246, 178, 256, 191, 269, 207, 285, 219, 297, 231, 309, 226, 304, 214, 292, 200, 278, 185, 263, 198, 276, 183, 261, 196, 274, 181, 259, 195, 273, 211, 289, 223, 301, 234, 312, 222, 300, 210, 288, 194, 272, 180, 258, 170, 248, 162, 240)(163, 241, 171, 249, 182, 260, 197, 275, 212, 290, 224, 302, 233, 311, 221, 299, 209, 287, 193, 271, 179, 257, 169, 247, 177, 255, 167, 245, 176, 254, 189, 267, 205, 283, 218, 296, 230, 308, 227, 305, 215, 293, 201, 279, 186, 264, 174, 252, 165, 243, 172, 250)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 168)(9, 160)(10, 170)(11, 161)(12, 164)(13, 162)(14, 166)(15, 181)(16, 183)(17, 182)(18, 185)(19, 186)(20, 188)(21, 190)(22, 189)(23, 192)(24, 193)(25, 171)(26, 173)(27, 172)(28, 191)(29, 174)(30, 175)(31, 194)(32, 176)(33, 178)(34, 177)(35, 184)(36, 179)(37, 180)(38, 187)(39, 203)(40, 204)(41, 211)(42, 206)(43, 212)(44, 208)(45, 214)(46, 215)(47, 195)(48, 196)(49, 217)(50, 198)(51, 218)(52, 200)(53, 220)(54, 221)(55, 197)(56, 199)(57, 219)(58, 201)(59, 202)(60, 222)(61, 205)(62, 207)(63, 213)(64, 209)(65, 210)(66, 216)(67, 229)(68, 234)(69, 233)(70, 232)(71, 231)(72, 230)(73, 223)(74, 228)(75, 227)(76, 226)(77, 225)(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) :: { ( 2, 78, 2, 78 ), ( 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78, 2, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.959
Graph:: bipartite
	v = 42 e = 156 f = 80
	degree seq :: [ 4^39, 52^3 ]

E18.957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
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, Y2 * Y3^-1, (Y1 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^-3 * Y1^-1 * Y2^3 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1^3 * Y2^-4 * Y1 * Y2^-1 * Y1, Y1^19 * Y2 * Y1^-1 * Y2^4, Y2^39 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 16, 94, 34, 112, 53, 131, 67, 145, 75, 153, 64, 142, 48, 126, 25, 103, 40, 118, 57, 135, 46, 124, 60, 138, 45, 123, 33, 111, 44, 122, 59, 137, 72, 150, 73, 151, 65, 143, 52, 130, 27, 105, 13, 91, 4, 82)(3, 81, 9, 87, 17, 95, 8, 86, 21, 99, 35, 113, 55, 133, 68, 146, 76, 154, 62, 140, 47, 125, 29, 107, 41, 119, 19, 97, 39, 117, 31, 109, 15, 93, 32, 110, 38, 116, 58, 136, 70, 148, 77, 155, 66, 144, 49, 127, 28, 106, 11, 89)(5, 83, 14, 92, 18, 96, 37, 115, 54, 132, 69, 147, 78, 156, 63, 141, 50, 128, 26, 104, 10, 88, 24, 102, 36, 114, 23, 101, 42, 120, 22, 100, 43, 121, 56, 134, 71, 149, 74, 152, 61, 139, 51, 129, 30, 108, 12, 90, 20, 98, 7, 85)(157, 235, 159, 237, 166, 244, 181, 259, 203, 281, 217, 295, 229, 307, 226, 304, 210, 288, 190, 268, 177, 255, 198, 276, 216, 294, 195, 273, 176, 254, 169, 247, 184, 262, 206, 284, 220, 298, 232, 310, 227, 305, 215, 293, 194, 272, 174, 252, 162, 240, 173, 251, 192, 270, 213, 291, 197, 275, 186, 264, 208, 286, 222, 300, 234, 312, 223, 301, 211, 289, 199, 277, 189, 267, 171, 249, 161, 239)(158, 236, 163, 241, 175, 253, 196, 274, 182, 260, 205, 283, 221, 299, 230, 308, 224, 302, 209, 287, 193, 271, 188, 266, 201, 279, 179, 257, 165, 243, 160, 238, 168, 246, 185, 263, 204, 282, 219, 297, 233, 311, 228, 306, 212, 290, 191, 269, 172, 250, 170, 248, 187, 265, 202, 280, 180, 258, 167, 245, 183, 261, 207, 285, 218, 296, 231, 309, 225, 303, 214, 292, 200, 278, 178, 256, 164, 242)
	L = (1, 159)(2, 163)(3, 166)(4, 168)(5, 157)(6, 173)(7, 175)(8, 158)(9, 160)(10, 181)(11, 183)(12, 185)(13, 184)(14, 187)(15, 161)(16, 170)(17, 192)(18, 162)(19, 196)(20, 169)(21, 198)(22, 164)(23, 165)(24, 167)(25, 203)(26, 205)(27, 207)(28, 206)(29, 204)(30, 208)(31, 202)(32, 201)(33, 171)(34, 177)(35, 172)(36, 213)(37, 188)(38, 174)(39, 176)(40, 182)(41, 186)(42, 216)(43, 189)(44, 178)(45, 179)(46, 180)(47, 217)(48, 219)(49, 221)(50, 220)(51, 218)(52, 222)(53, 193)(54, 190)(55, 199)(56, 191)(57, 197)(58, 200)(59, 194)(60, 195)(61, 229)(62, 231)(63, 233)(64, 232)(65, 230)(66, 234)(67, 211)(68, 209)(69, 214)(70, 210)(71, 215)(72, 212)(73, 226)(74, 224)(75, 225)(76, 227)(77, 228)(78, 223)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.958
Graph:: bipartite
	v = 5 e = 156 f = 117
	degree seq :: [ 52^3, 78^2 ]

E18.958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
Quotient :: dipole
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-3 * Y2, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1, Y3^-9 * Y2 * Y3^-2 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^39 ]
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, 235, 158, 236)(159, 237, 163, 241)(160, 238, 165, 243)(161, 239, 167, 245)(162, 240, 169, 247)(164, 242, 173, 251)(166, 244, 177, 255)(168, 246, 181, 259)(170, 248, 185, 263)(171, 249, 179, 257)(172, 250, 183, 261)(174, 252, 182, 260)(175, 253, 180, 258)(176, 254, 184, 262)(178, 256, 186, 264)(187, 265, 197, 275)(188, 266, 196, 274)(189, 267, 195, 273)(190, 268, 198, 276)(191, 269, 203, 281)(192, 270, 201, 279)(193, 271, 200, 278)(194, 272, 206, 284)(199, 277, 209, 287)(202, 280, 212, 290)(204, 282, 210, 288)(205, 283, 216, 294)(207, 285, 213, 291)(208, 286, 219, 297)(211, 289, 222, 300)(214, 292, 225, 303)(215, 293, 221, 299)(217, 295, 223, 301)(218, 296, 224, 302)(220, 298, 226, 304)(227, 305, 232, 310)(228, 306, 233, 311)(229, 307, 230, 308)(231, 309, 234, 312)
	L = (1, 159)(2, 161)(3, 164)(4, 157)(5, 168)(6, 158)(7, 171)(8, 174)(9, 175)(10, 160)(11, 179)(12, 182)(13, 183)(14, 162)(15, 187)(16, 163)(17, 189)(18, 191)(19, 190)(20, 165)(21, 188)(22, 166)(23, 195)(24, 167)(25, 197)(26, 199)(27, 198)(28, 169)(29, 196)(30, 170)(31, 203)(32, 172)(33, 204)(34, 173)(35, 205)(36, 176)(37, 177)(38, 178)(39, 209)(40, 180)(41, 210)(42, 181)(43, 211)(44, 184)(45, 185)(46, 186)(47, 215)(48, 216)(49, 217)(50, 192)(51, 193)(52, 194)(53, 221)(54, 222)(55, 223)(56, 200)(57, 201)(58, 202)(59, 227)(60, 228)(61, 229)(62, 206)(63, 207)(64, 208)(65, 233)(66, 232)(67, 231)(68, 212)(69, 213)(70, 214)(71, 230)(72, 226)(73, 225)(74, 218)(75, 219)(76, 220)(77, 234)(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) :: { ( 52, 78 ), ( 52, 78, 52, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.957
Graph:: simple bipartite
	v = 117 e = 156 f = 5
	degree seq :: [ 2^78, 4^39 ]

E18.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
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, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^3 * Y3 * Y1^-3 * Y3, Y1 * Y3 * Y1^8 * Y3 * Y1^4 ]
Map::
	R = (1, 79, 2, 80, 5, 83, 11, 89, 23, 101, 39, 117, 53, 131, 65, 143, 72, 150, 60, 138, 48, 126, 34, 112, 46, 124, 32, 110, 16, 94, 28, 106, 43, 121, 57, 135, 69, 147, 77, 155, 78, 156, 71, 149, 59, 137, 47, 125, 33, 111, 17, 95, 29, 107, 44, 122, 31, 109, 45, 123, 58, 136, 70, 148, 76, 154, 64, 142, 52, 130, 38, 116, 22, 100, 10, 88, 4, 82)(3, 81, 7, 85, 15, 93, 24, 102, 41, 119, 56, 134, 66, 144, 75, 153, 63, 141, 51, 129, 37, 115, 21, 99, 30, 108, 14, 92, 6, 84, 13, 91, 27, 105, 40, 118, 55, 133, 68, 146, 74, 152, 62, 140, 50, 128, 36, 114, 20, 98, 9, 87, 19, 97, 26, 104, 12, 90, 25, 103, 42, 120, 54, 132, 67, 145, 73, 151, 61, 139, 49, 127, 35, 113, 18, 96, 8, 86)(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, 162)(3, 157)(4, 165)(5, 168)(6, 158)(7, 172)(8, 173)(9, 160)(10, 177)(11, 180)(12, 161)(13, 184)(14, 185)(15, 187)(16, 163)(17, 164)(18, 190)(19, 188)(20, 189)(21, 166)(22, 191)(23, 196)(24, 167)(25, 199)(26, 200)(27, 201)(28, 169)(29, 170)(30, 202)(31, 171)(32, 175)(33, 176)(34, 174)(35, 178)(36, 204)(37, 203)(38, 206)(39, 210)(40, 179)(41, 213)(42, 214)(43, 181)(44, 182)(45, 183)(46, 186)(47, 193)(48, 192)(49, 215)(50, 194)(51, 216)(52, 219)(53, 222)(54, 195)(55, 225)(56, 226)(57, 197)(58, 198)(59, 205)(60, 207)(61, 228)(62, 227)(63, 208)(64, 229)(65, 230)(66, 209)(67, 233)(68, 232)(69, 211)(70, 212)(71, 218)(72, 217)(73, 220)(74, 221)(75, 234)(76, 224)(77, 223)(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) :: { ( 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 E18.956
Graph:: simple bipartite
	v = 80 e = 156 f = 42
	degree seq :: [ 2^78, 78^2 ]

E18.960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
Quotient :: dipole
Aut^+ = C13 x S3 (small group id <78, 3>)
Aut   = S3 x D26 (small group id <156, 11>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-2)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, Y2^-3 * Y1 * Y2^-8 * Y1 * Y2^-2, (Y3 * Y2^-1)^26 ]
Map::
	R = (1, 79, 2, 80)(3, 81, 7, 85)(4, 82, 9, 87)(5, 83, 11, 89)(6, 84, 13, 91)(8, 86, 17, 95)(10, 88, 21, 99)(12, 90, 25, 103)(14, 92, 29, 107)(15, 93, 23, 101)(16, 94, 27, 105)(18, 96, 26, 104)(19, 97, 24, 102)(20, 98, 28, 106)(22, 100, 30, 108)(31, 109, 41, 119)(32, 110, 40, 118)(33, 111, 39, 117)(34, 112, 42, 120)(35, 113, 47, 125)(36, 114, 45, 123)(37, 115, 44, 122)(38, 116, 50, 128)(43, 121, 53, 131)(46, 124, 56, 134)(48, 126, 54, 132)(49, 127, 60, 138)(51, 129, 57, 135)(52, 130, 63, 141)(55, 133, 66, 144)(58, 136, 69, 147)(59, 137, 65, 143)(61, 139, 67, 145)(62, 140, 68, 146)(64, 142, 70, 148)(71, 149, 76, 154)(72, 150, 77, 155)(73, 151, 74, 152)(75, 153, 78, 156)(157, 235, 159, 237, 164, 242, 174, 252, 191, 269, 205, 283, 217, 295, 229, 307, 225, 303, 213, 291, 201, 279, 185, 263, 196, 274, 180, 258, 167, 245, 179, 257, 195, 273, 209, 287, 221, 299, 233, 311, 234, 312, 224, 302, 212, 290, 200, 278, 184, 262, 169, 247, 183, 261, 198, 276, 181, 259, 197, 275, 210, 288, 222, 300, 232, 310, 220, 298, 208, 286, 194, 272, 178, 256, 166, 244, 160, 238)(158, 236, 161, 239, 168, 246, 182, 260, 199, 277, 211, 289, 223, 301, 231, 309, 219, 297, 207, 285, 193, 271, 177, 255, 188, 266, 172, 250, 163, 241, 171, 249, 187, 265, 203, 281, 215, 293, 227, 305, 230, 308, 218, 296, 206, 284, 192, 270, 176, 254, 165, 243, 175, 253, 190, 268, 173, 251, 189, 267, 204, 282, 216, 294, 228, 306, 226, 304, 214, 292, 202, 280, 186, 264, 170, 248, 162, 240)
	L = (1, 158)(2, 157)(3, 163)(4, 165)(5, 167)(6, 169)(7, 159)(8, 173)(9, 160)(10, 177)(11, 161)(12, 181)(13, 162)(14, 185)(15, 179)(16, 183)(17, 164)(18, 182)(19, 180)(20, 184)(21, 166)(22, 186)(23, 171)(24, 175)(25, 168)(26, 174)(27, 172)(28, 176)(29, 170)(30, 178)(31, 197)(32, 196)(33, 195)(34, 198)(35, 203)(36, 201)(37, 200)(38, 206)(39, 189)(40, 188)(41, 187)(42, 190)(43, 209)(44, 193)(45, 192)(46, 212)(47, 191)(48, 210)(49, 216)(50, 194)(51, 213)(52, 219)(53, 199)(54, 204)(55, 222)(56, 202)(57, 207)(58, 225)(59, 221)(60, 205)(61, 223)(62, 224)(63, 208)(64, 226)(65, 215)(66, 211)(67, 217)(68, 218)(69, 214)(70, 220)(71, 232)(72, 233)(73, 230)(74, 229)(75, 234)(76, 227)(77, 228)(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, 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 E18.961
Graph:: bipartite
	v = 41 e = 156 f = 81
	degree seq :: [ 4^39, 78^2 ]

E18.961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 26, 39})
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, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y3^-1 * Y1^-1 * Y3^3 * Y1 * Y3^-2, Y1^3 * Y3^-1 * Y1^3 * Y3^-3 * Y1^2 * Y3^-1, Y1^26, (Y3 * Y2^-1)^39 ]
Map::
	R = (1, 79, 2, 80, 6, 84, 16, 94, 34, 112, 53, 131, 67, 145, 75, 153, 64, 142, 48, 126, 25, 103, 40, 118, 57, 135, 46, 124, 60, 138, 45, 123, 33, 111, 44, 122, 59, 137, 72, 150, 73, 151, 65, 143, 52, 130, 27, 105, 13, 91, 4, 82)(3, 81, 9, 87, 17, 95, 8, 86, 21, 99, 35, 113, 55, 133, 68, 146, 76, 154, 62, 140, 47, 125, 29, 107, 41, 119, 19, 97, 39, 117, 31, 109, 15, 93, 32, 110, 38, 116, 58, 136, 70, 148, 77, 155, 66, 144, 49, 127, 28, 106, 11, 89)(5, 83, 14, 92, 18, 96, 37, 115, 54, 132, 69, 147, 78, 156, 63, 141, 50, 128, 26, 104, 10, 88, 24, 102, 36, 114, 23, 101, 42, 120, 22, 100, 43, 121, 56, 134, 71, 149, 74, 152, 61, 139, 51, 129, 30, 108, 12, 90, 20, 98, 7, 85)(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, 166)(4, 168)(5, 157)(6, 173)(7, 175)(8, 158)(9, 160)(10, 181)(11, 183)(12, 185)(13, 184)(14, 187)(15, 161)(16, 170)(17, 192)(18, 162)(19, 196)(20, 169)(21, 198)(22, 164)(23, 165)(24, 167)(25, 203)(26, 205)(27, 207)(28, 206)(29, 204)(30, 208)(31, 202)(32, 201)(33, 171)(34, 177)(35, 172)(36, 213)(37, 188)(38, 174)(39, 176)(40, 182)(41, 186)(42, 216)(43, 189)(44, 178)(45, 179)(46, 180)(47, 217)(48, 219)(49, 221)(50, 220)(51, 218)(52, 222)(53, 193)(54, 190)(55, 199)(56, 191)(57, 197)(58, 200)(59, 194)(60, 195)(61, 229)(62, 231)(63, 233)(64, 232)(65, 230)(66, 234)(67, 211)(68, 209)(69, 214)(70, 210)(71, 215)(72, 212)(73, 226)(74, 224)(75, 225)(76, 227)(77, 228)(78, 223)(79, 235)(80, 236)(81, 237)(82, 238)(83, 239)(84, 240)(85, 241)(86, 242)(87, 243)(88, 244)(89, 245)(90, 246)(91, 247)(92, 248)(93, 249)(94, 250)(95, 251)(96, 252)(97, 253)(98, 254)(99, 255)(100, 256)(101, 257)(102, 258)(103, 259)(104, 260)(105, 261)(106, 262)(107, 263)(108, 264)(109, 265)(110, 266)(111, 267)(112, 268)(113, 269)(114, 270)(115, 271)(116, 272)(117, 273)(118, 274)(119, 275)(120, 276)(121, 277)(122, 278)(123, 279)(124, 280)(125, 281)(126, 282)(127, 283)(128, 284)(129, 285)(130, 286)(131, 287)(132, 288)(133, 289)(134, 290)(135, 291)(136, 292)(137, 293)(138, 294)(139, 295)(140, 296)(141, 297)(142, 298)(143, 299)(144, 300)(145, 301)(146, 302)(147, 303)(148, 304)(149, 305)(150, 306)(151, 307)(152, 308)(153, 309)(154, 310)(155, 311)(156, 312)
	local type(s) :: { ( 4, 78 ), ( 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78, 4, 78 ) }
Outer automorphisms :: reflexible
Dual of E18.960
Graph:: simple bipartite
	v = 81 e = 156 f = 41
	degree seq :: [ 2^78, 52^3 ]

E18.962 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 40})
Quotient :: regular
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|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, T1^-3 * T2 * T1^-3 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 60, 76, 57, 33, 16, 28, 48, 70, 79, 78, 59, 35, 53, 74, 56, 32, 52, 73, 80, 77, 58, 34, 17, 29, 49, 71, 55, 75, 65, 42, 22, 10, 4)(3, 7, 15, 31, 44, 68, 64, 41, 54, 30, 14, 6, 13, 27, 51, 67, 63, 40, 21, 39, 50, 26, 12, 25, 47, 72, 62, 38, 20, 9, 19, 37, 46, 24, 45, 69, 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, 66)(63, 78)(64, 77)(65, 72)(68, 79)(69, 80)
	local type(s) :: { ( 20^40 ) }
Outer automorphisms :: reflexible
Dual of E18.963
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 40 f = 4
	degree seq :: [ 40^2 ]

E18.963 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 40})
Quotient :: regular
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2 * T1^2, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-5 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^20, (T1^-1 * T2)^40 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 78, 77, 80, 76, 79, 75, 64, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 66, 61, 74, 54, 73, 53, 72, 52, 71, 60, 43, 28, 17, 8)(6, 13, 21, 34, 48, 67, 58, 41, 57, 40, 56, 39, 55, 70, 63, 45, 30, 18, 9, 14)(15, 25, 35, 51, 68, 62, 44, 29, 38, 24, 37, 23, 36, 50, 69, 59, 42, 27, 16, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 61)(45, 62)(46, 63)(47, 66)(49, 68)(51, 70)(55, 75)(56, 76)(57, 77)(58, 65)(59, 67)(60, 69)(64, 71)(72, 79)(73, 80)(74, 78)
	local type(s) :: { ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E18.962
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 40 f = 2
	degree seq :: [ 20^4 ]

E18.964 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2 * T1 * T2^3 * T1 * T2^5 * T1 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^20 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 71, 80, 69, 79, 67, 78, 65, 64, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 70, 61, 77, 59, 76, 57, 75, 55, 74, 54, 38, 24, 14, 6)(7, 15, 26, 41, 58, 72, 52, 36, 50, 34, 48, 32, 47, 66, 63, 45, 30, 18, 9, 16)(11, 20, 33, 49, 68, 62, 44, 29, 42, 27, 40, 25, 39, 56, 73, 53, 37, 23, 13, 21)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 92)(90, 94)(95, 105)(96, 107)(97, 106)(98, 109)(99, 110)(100, 112)(101, 114)(102, 113)(103, 116)(104, 117)(108, 115)(111, 118)(119, 135)(120, 137)(121, 136)(122, 139)(123, 138)(124, 141)(125, 142)(126, 143)(127, 145)(128, 147)(129, 146)(130, 149)(131, 148)(132, 151)(133, 152)(134, 153)(140, 150)(144, 154)(155, 158)(156, 159)(157, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 80, 80 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E18.968
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 80 f = 2
	degree seq :: [ 2^40, 20^4 ]

E18.965 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-2 * T2, T2^3 * T1^-2 * T2 * T1^-4, T2^6 * T1^-1 * T2^2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 62, 43, 72, 79, 67, 39, 20, 13, 28, 51, 61, 34, 21, 42, 71, 80, 68, 41, 30, 53, 66, 38, 18, 6, 17, 36, 64, 78, 70, 55, 73, 59, 33, 15, 5)(2, 7, 19, 40, 69, 49, 65, 58, 75, 45, 23, 9, 4, 12, 29, 54, 60, 37, 32, 57, 76, 46, 24, 11, 27, 52, 63, 35, 16, 14, 31, 56, 77, 47, 26, 50, 74, 44, 22, 8)(81, 82, 86, 96, 114, 140, 128, 149, 158, 157, 160, 156, 159, 155, 139, 154, 133, 107, 93, 84)(83, 89, 97, 88, 101, 115, 142, 134, 150, 120, 148, 136, 147, 137, 113, 138, 146, 130, 108, 91)(85, 94, 98, 117, 141, 129, 105, 127, 144, 126, 151, 125, 152, 124, 153, 132, 110, 92, 100, 87)(90, 104, 116, 103, 122, 102, 123, 143, 135, 109, 121, 99, 119, 111, 95, 112, 118, 145, 131, 106)
	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) :: { ( 4^20 ), ( 4^40 ) }
Outer automorphisms :: reflexible
Dual of E18.969
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 80 f = 40
	degree seq :: [ 20^4, 40^2 ]

E18.966 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 40})
Quotient :: edge
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^-3 * T2 * T1^-3 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^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, 66)(63, 78)(64, 77)(65, 72)(68, 79)(69, 80)(81, 82, 85, 91, 103, 123, 146, 140, 156, 137, 113, 96, 108, 128, 150, 159, 158, 139, 115, 133, 154, 136, 112, 132, 153, 160, 157, 138, 114, 97, 109, 129, 151, 135, 155, 145, 122, 102, 90, 84)(83, 87, 95, 111, 124, 148, 144, 121, 134, 110, 94, 86, 93, 107, 131, 147, 143, 120, 101, 119, 130, 106, 92, 105, 127, 152, 142, 118, 100, 89, 99, 117, 126, 104, 125, 149, 141, 116, 98, 88)
	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, 40 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E18.967
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 80 f = 4
	degree seq :: [ 2^40, 40^2 ]

E18.967 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2 * T1 * T2^3 * T1 * T2^5 * T1 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^20 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 17, 97, 28, 108, 43, 123, 60, 140, 71, 151, 80, 160, 69, 149, 79, 159, 67, 147, 78, 158, 65, 145, 64, 144, 46, 126, 31, 111, 19, 99, 10, 90, 4, 84)(2, 82, 5, 85, 12, 92, 22, 102, 35, 115, 51, 131, 70, 150, 61, 141, 77, 157, 59, 139, 76, 156, 57, 137, 75, 155, 55, 135, 74, 154, 54, 134, 38, 118, 24, 104, 14, 94, 6, 86)(7, 87, 15, 95, 26, 106, 41, 121, 58, 138, 72, 152, 52, 132, 36, 116, 50, 130, 34, 114, 48, 128, 32, 112, 47, 127, 66, 146, 63, 143, 45, 125, 30, 110, 18, 98, 9, 89, 16, 96)(11, 91, 20, 100, 33, 113, 49, 129, 68, 148, 62, 142, 44, 124, 29, 109, 42, 122, 27, 107, 40, 120, 25, 105, 39, 119, 56, 136, 73, 153, 53, 133, 37, 117, 23, 103, 13, 93, 21, 101)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 92)(9, 84)(10, 94)(11, 85)(12, 88)(13, 86)(14, 90)(15, 105)(16, 107)(17, 106)(18, 109)(19, 110)(20, 112)(21, 114)(22, 113)(23, 116)(24, 117)(25, 95)(26, 97)(27, 96)(28, 115)(29, 98)(30, 99)(31, 118)(32, 100)(33, 102)(34, 101)(35, 108)(36, 103)(37, 104)(38, 111)(39, 135)(40, 137)(41, 136)(42, 139)(43, 138)(44, 141)(45, 142)(46, 143)(47, 145)(48, 147)(49, 146)(50, 149)(51, 148)(52, 151)(53, 152)(54, 153)(55, 119)(56, 121)(57, 120)(58, 123)(59, 122)(60, 150)(61, 124)(62, 125)(63, 126)(64, 154)(65, 127)(66, 129)(67, 128)(68, 131)(69, 130)(70, 140)(71, 132)(72, 133)(73, 134)(74, 144)(75, 158)(76, 159)(77, 160)(78, 155)(79, 156)(80, 157)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.966
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 42
	degree seq :: [ 40^4 ]

E18.968 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^2 * T2^-1 * T1^-2 * T2, T2^3 * T1^-2 * T2 * T1^-4, T2^6 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 81, 3, 83, 10, 90, 25, 105, 48, 128, 62, 142, 43, 123, 72, 152, 79, 159, 67, 147, 39, 119, 20, 100, 13, 93, 28, 108, 51, 131, 61, 141, 34, 114, 21, 101, 42, 122, 71, 151, 80, 160, 68, 148, 41, 121, 30, 110, 53, 133, 66, 146, 38, 118, 18, 98, 6, 86, 17, 97, 36, 116, 64, 144, 78, 158, 70, 150, 55, 135, 73, 153, 59, 139, 33, 113, 15, 95, 5, 85)(2, 82, 7, 87, 19, 99, 40, 120, 69, 149, 49, 129, 65, 145, 58, 138, 75, 155, 45, 125, 23, 103, 9, 89, 4, 84, 12, 92, 29, 109, 54, 134, 60, 140, 37, 117, 32, 112, 57, 137, 76, 156, 46, 126, 24, 104, 11, 91, 27, 107, 52, 132, 63, 143, 35, 115, 16, 96, 14, 94, 31, 111, 56, 136, 77, 157, 47, 127, 26, 106, 50, 130, 74, 154, 44, 124, 22, 102, 8, 88)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 96)(7, 85)(8, 101)(9, 97)(10, 104)(11, 83)(12, 100)(13, 84)(14, 98)(15, 112)(16, 114)(17, 88)(18, 117)(19, 119)(20, 87)(21, 115)(22, 123)(23, 122)(24, 116)(25, 127)(26, 90)(27, 93)(28, 91)(29, 121)(30, 92)(31, 95)(32, 118)(33, 138)(34, 140)(35, 142)(36, 103)(37, 141)(38, 145)(39, 111)(40, 148)(41, 99)(42, 102)(43, 143)(44, 153)(45, 152)(46, 151)(47, 144)(48, 149)(49, 105)(50, 108)(51, 106)(52, 110)(53, 107)(54, 150)(55, 109)(56, 147)(57, 113)(58, 146)(59, 154)(60, 128)(61, 129)(62, 134)(63, 135)(64, 126)(65, 131)(66, 130)(67, 137)(68, 136)(69, 158)(70, 120)(71, 125)(72, 124)(73, 132)(74, 133)(75, 139)(76, 159)(77, 160)(78, 157)(79, 155)(80, 156)
	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 E18.964
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 80 f = 44
	degree seq :: [ 80^2 ]

E18.969 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 40})
Quotient :: loop
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^-3 * T2 * T1^-3 * T2 * T1^-4, (T2 * T1^-2 * T2 * T1^2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83)(2, 82, 6, 86)(4, 84, 9, 89)(5, 85, 12, 92)(7, 87, 16, 96)(8, 88, 17, 97)(10, 90, 21, 101)(11, 91, 24, 104)(13, 93, 28, 108)(14, 94, 29, 109)(15, 95, 32, 112)(18, 98, 35, 115)(19, 99, 33, 113)(20, 100, 34, 114)(22, 102, 41, 121)(23, 103, 44, 124)(25, 105, 48, 128)(26, 106, 49, 129)(27, 107, 52, 132)(30, 110, 53, 133)(31, 111, 55, 135)(36, 116, 60, 140)(37, 117, 56, 136)(38, 118, 59, 139)(39, 119, 57, 137)(40, 120, 58, 138)(42, 122, 61, 141)(43, 123, 67, 147)(45, 125, 70, 150)(46, 126, 71, 151)(47, 127, 73, 153)(50, 130, 74, 154)(51, 131, 75, 155)(54, 134, 76, 156)(62, 142, 66, 146)(63, 143, 78, 158)(64, 144, 77, 157)(65, 145, 72, 152)(68, 148, 79, 159)(69, 149, 80, 160)
	L = (1, 82)(2, 85)(3, 87)(4, 81)(5, 91)(6, 93)(7, 95)(8, 83)(9, 99)(10, 84)(11, 103)(12, 105)(13, 107)(14, 86)(15, 111)(16, 108)(17, 109)(18, 88)(19, 117)(20, 89)(21, 119)(22, 90)(23, 123)(24, 125)(25, 127)(26, 92)(27, 131)(28, 128)(29, 129)(30, 94)(31, 124)(32, 132)(33, 96)(34, 97)(35, 133)(36, 98)(37, 126)(38, 100)(39, 130)(40, 101)(41, 134)(42, 102)(43, 146)(44, 148)(45, 149)(46, 104)(47, 152)(48, 150)(49, 151)(50, 106)(51, 147)(52, 153)(53, 154)(54, 110)(55, 155)(56, 112)(57, 113)(58, 114)(59, 115)(60, 156)(61, 116)(62, 118)(63, 120)(64, 121)(65, 122)(66, 140)(67, 143)(68, 144)(69, 141)(70, 159)(71, 135)(72, 142)(73, 160)(74, 136)(75, 145)(76, 137)(77, 138)(78, 139)(79, 158)(80, 157)
	local type(s) :: { ( 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.965
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 6
	degree seq :: [ 4^40 ]

E18.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * R)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, (Y2^2 * R * Y1)^2, Y2 * Y1 * Y2^3 * Y1 * Y2^5 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^20, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 12, 92)(10, 90, 14, 94)(15, 95, 25, 105)(16, 96, 27, 107)(17, 97, 26, 106)(18, 98, 29, 109)(19, 99, 30, 110)(20, 100, 32, 112)(21, 101, 34, 114)(22, 102, 33, 113)(23, 103, 36, 116)(24, 104, 37, 117)(28, 108, 35, 115)(31, 111, 38, 118)(39, 119, 55, 135)(40, 120, 57, 137)(41, 121, 56, 136)(42, 122, 59, 139)(43, 123, 58, 138)(44, 124, 61, 141)(45, 125, 62, 142)(46, 126, 63, 143)(47, 127, 65, 145)(48, 128, 67, 147)(49, 129, 66, 146)(50, 130, 69, 149)(51, 131, 68, 148)(52, 132, 71, 151)(53, 133, 72, 152)(54, 134, 73, 153)(60, 140, 70, 150)(64, 144, 74, 154)(75, 155, 78, 158)(76, 156, 79, 159)(77, 157, 80, 160)(161, 241, 163, 243, 168, 248, 177, 257, 188, 268, 203, 283, 220, 300, 231, 311, 240, 320, 229, 309, 239, 319, 227, 307, 238, 318, 225, 305, 224, 304, 206, 286, 191, 271, 179, 259, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 182, 262, 195, 275, 211, 291, 230, 310, 221, 301, 237, 317, 219, 299, 236, 316, 217, 297, 235, 315, 215, 295, 234, 314, 214, 294, 198, 278, 184, 264, 174, 254, 166, 246)(167, 247, 175, 255, 186, 266, 201, 281, 218, 298, 232, 312, 212, 292, 196, 276, 210, 290, 194, 274, 208, 288, 192, 272, 207, 287, 226, 306, 223, 303, 205, 285, 190, 270, 178, 258, 169, 249, 176, 256)(171, 251, 180, 260, 193, 273, 209, 289, 228, 308, 222, 302, 204, 284, 189, 269, 202, 282, 187, 267, 200, 280, 185, 265, 199, 279, 216, 296, 233, 313, 213, 293, 197, 277, 183, 263, 173, 253, 181, 261)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 172)(9, 164)(10, 174)(11, 165)(12, 168)(13, 166)(14, 170)(15, 185)(16, 187)(17, 186)(18, 189)(19, 190)(20, 192)(21, 194)(22, 193)(23, 196)(24, 197)(25, 175)(26, 177)(27, 176)(28, 195)(29, 178)(30, 179)(31, 198)(32, 180)(33, 182)(34, 181)(35, 188)(36, 183)(37, 184)(38, 191)(39, 215)(40, 217)(41, 216)(42, 219)(43, 218)(44, 221)(45, 222)(46, 223)(47, 225)(48, 227)(49, 226)(50, 229)(51, 228)(52, 231)(53, 232)(54, 233)(55, 199)(56, 201)(57, 200)(58, 203)(59, 202)(60, 230)(61, 204)(62, 205)(63, 206)(64, 234)(65, 207)(66, 209)(67, 208)(68, 211)(69, 210)(70, 220)(71, 212)(72, 213)(73, 214)(74, 224)(75, 238)(76, 239)(77, 240)(78, 235)(79, 236)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.973
Graph:: bipartite
	v = 44 e = 160 f = 82
	degree seq :: [ 4^40, 40^4 ]

E18.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^2 * Y2^-1 * Y1^-2 * Y2, Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 16, 96, 34, 114, 60, 140, 48, 128, 69, 149, 78, 158, 77, 157, 80, 160, 76, 156, 79, 159, 75, 155, 59, 139, 74, 154, 53, 133, 27, 107, 13, 93, 4, 84)(3, 83, 9, 89, 17, 97, 8, 88, 21, 101, 35, 115, 62, 142, 54, 134, 70, 150, 40, 120, 68, 148, 56, 136, 67, 147, 57, 137, 33, 113, 58, 138, 66, 146, 50, 130, 28, 108, 11, 91)(5, 85, 14, 94, 18, 98, 37, 117, 61, 141, 49, 129, 25, 105, 47, 127, 64, 144, 46, 126, 71, 151, 45, 125, 72, 152, 44, 124, 73, 153, 52, 132, 30, 110, 12, 92, 20, 100, 7, 87)(10, 90, 24, 104, 36, 116, 23, 103, 42, 122, 22, 102, 43, 123, 63, 143, 55, 135, 29, 109, 41, 121, 19, 99, 39, 119, 31, 111, 15, 95, 32, 112, 38, 118, 65, 145, 51, 131, 26, 106)(161, 241, 163, 243, 170, 250, 185, 265, 208, 288, 222, 302, 203, 283, 232, 312, 239, 319, 227, 307, 199, 279, 180, 260, 173, 253, 188, 268, 211, 291, 221, 301, 194, 274, 181, 261, 202, 282, 231, 311, 240, 320, 228, 308, 201, 281, 190, 270, 213, 293, 226, 306, 198, 278, 178, 258, 166, 246, 177, 257, 196, 276, 224, 304, 238, 318, 230, 310, 215, 295, 233, 313, 219, 299, 193, 273, 175, 255, 165, 245)(162, 242, 167, 247, 179, 259, 200, 280, 229, 309, 209, 289, 225, 305, 218, 298, 235, 315, 205, 285, 183, 263, 169, 249, 164, 244, 172, 252, 189, 269, 214, 294, 220, 300, 197, 277, 192, 272, 217, 297, 236, 316, 206, 286, 184, 264, 171, 251, 187, 267, 212, 292, 223, 303, 195, 275, 176, 256, 174, 254, 191, 271, 216, 296, 237, 317, 207, 287, 186, 266, 210, 290, 234, 314, 204, 284, 182, 262, 168, 248)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 179)(8, 162)(9, 164)(10, 185)(11, 187)(12, 189)(13, 188)(14, 191)(15, 165)(16, 174)(17, 196)(18, 166)(19, 200)(20, 173)(21, 202)(22, 168)(23, 169)(24, 171)(25, 208)(26, 210)(27, 212)(28, 211)(29, 214)(30, 213)(31, 216)(32, 217)(33, 175)(34, 181)(35, 176)(36, 224)(37, 192)(38, 178)(39, 180)(40, 229)(41, 190)(42, 231)(43, 232)(44, 182)(45, 183)(46, 184)(47, 186)(48, 222)(49, 225)(50, 234)(51, 221)(52, 223)(53, 226)(54, 220)(55, 233)(56, 237)(57, 236)(58, 235)(59, 193)(60, 197)(61, 194)(62, 203)(63, 195)(64, 238)(65, 218)(66, 198)(67, 199)(68, 201)(69, 209)(70, 215)(71, 240)(72, 239)(73, 219)(74, 204)(75, 205)(76, 206)(77, 207)(78, 230)(79, 227)(80, 228)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.972
Graph:: bipartite
	v = 6 e = 160 f = 120
	degree seq :: [ 40^4, 80^2 ]

E18.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1, 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, Y2 * Y3^4 * Y2 * Y3^-4, (Y3^-2 * Y2 * Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-6, (Y3^-1 * Y1^-1)^40 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242)(163, 243, 167, 247)(164, 244, 169, 249)(165, 245, 171, 251)(166, 246, 173, 253)(168, 248, 177, 257)(170, 250, 181, 261)(172, 252, 185, 265)(174, 254, 189, 269)(175, 255, 183, 263)(176, 256, 187, 267)(178, 258, 195, 275)(179, 259, 184, 264)(180, 260, 188, 268)(182, 262, 201, 281)(186, 266, 207, 287)(190, 270, 213, 293)(191, 271, 205, 285)(192, 272, 211, 291)(193, 273, 203, 283)(194, 274, 209, 289)(196, 276, 208, 288)(197, 277, 206, 286)(198, 278, 212, 292)(199, 279, 204, 284)(200, 280, 210, 290)(202, 282, 214, 294)(215, 295, 230, 310)(216, 296, 227, 307)(217, 297, 228, 308)(218, 298, 229, 309)(219, 299, 226, 306)(220, 300, 231, 311)(221, 301, 237, 317)(222, 302, 235, 315)(223, 303, 234, 314)(224, 304, 233, 313)(225, 305, 238, 318)(232, 312, 239, 319)(236, 316, 240, 320)
	L = (1, 163)(2, 165)(3, 168)(4, 161)(5, 172)(6, 162)(7, 175)(8, 178)(9, 179)(10, 164)(11, 183)(12, 186)(13, 187)(14, 166)(15, 191)(16, 167)(17, 193)(18, 196)(19, 197)(20, 169)(21, 199)(22, 170)(23, 203)(24, 171)(25, 205)(26, 208)(27, 209)(28, 173)(29, 211)(30, 174)(31, 215)(32, 176)(33, 217)(34, 177)(35, 219)(36, 221)(37, 220)(38, 180)(39, 218)(40, 181)(41, 216)(42, 182)(43, 226)(44, 184)(45, 228)(46, 185)(47, 230)(48, 232)(49, 231)(50, 188)(51, 229)(52, 189)(53, 227)(54, 190)(55, 237)(56, 192)(57, 238)(58, 194)(59, 236)(60, 195)(61, 235)(62, 198)(63, 200)(64, 201)(65, 202)(66, 239)(67, 204)(68, 240)(69, 206)(70, 225)(71, 207)(72, 224)(73, 210)(74, 212)(75, 213)(76, 214)(77, 223)(78, 222)(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) :: { ( 40, 80 ), ( 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.971
Graph:: simple bipartite
	v = 120 e = 160 f = 6
	degree seq :: [ 2^80, 4^40 ]

E18.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^4 * Y3 * Y1^-4, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-6, (Y1^2 * Y3 * Y1^-2 * Y3)^2 ]
Map::
	R = (1, 81, 2, 82, 5, 85, 11, 91, 23, 103, 43, 123, 66, 146, 60, 140, 76, 156, 57, 137, 33, 113, 16, 96, 28, 108, 48, 128, 70, 150, 79, 159, 78, 158, 59, 139, 35, 115, 53, 133, 74, 154, 56, 136, 32, 112, 52, 132, 73, 153, 80, 160, 77, 157, 58, 138, 34, 114, 17, 97, 29, 109, 49, 129, 71, 151, 55, 135, 75, 155, 65, 145, 42, 122, 22, 102, 10, 90, 4, 84)(3, 83, 7, 87, 15, 95, 31, 111, 44, 124, 68, 148, 64, 144, 41, 121, 54, 134, 30, 110, 14, 94, 6, 86, 13, 93, 27, 107, 51, 131, 67, 147, 63, 143, 40, 120, 21, 101, 39, 119, 50, 130, 26, 106, 12, 92, 25, 105, 47, 127, 72, 152, 62, 142, 38, 118, 20, 100, 9, 89, 19, 99, 37, 117, 46, 126, 24, 104, 45, 125, 69, 149, 61, 141, 36, 116, 18, 98, 8, 88)(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, 166)(3, 161)(4, 169)(5, 172)(6, 162)(7, 176)(8, 177)(9, 164)(10, 181)(11, 184)(12, 165)(13, 188)(14, 189)(15, 192)(16, 167)(17, 168)(18, 195)(19, 193)(20, 194)(21, 170)(22, 201)(23, 204)(24, 171)(25, 208)(26, 209)(27, 212)(28, 173)(29, 174)(30, 213)(31, 215)(32, 175)(33, 179)(34, 180)(35, 178)(36, 220)(37, 216)(38, 219)(39, 217)(40, 218)(41, 182)(42, 221)(43, 227)(44, 183)(45, 230)(46, 231)(47, 233)(48, 185)(49, 186)(50, 234)(51, 235)(52, 187)(53, 190)(54, 236)(55, 191)(56, 197)(57, 199)(58, 200)(59, 198)(60, 196)(61, 202)(62, 226)(63, 238)(64, 237)(65, 232)(66, 222)(67, 203)(68, 239)(69, 240)(70, 205)(71, 206)(72, 225)(73, 207)(74, 210)(75, 211)(76, 214)(77, 224)(78, 223)(79, 228)(80, 229)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 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 E18.970
Graph:: simple bipartite
	v = 82 e = 160 f = 44
	degree seq :: [ 2^80, 80^2 ]

E18.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (R * Y2^3 * Y1)^2, (Y2^-1 * R * Y2^-3)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-4, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 17, 97)(10, 90, 21, 101)(12, 92, 25, 105)(14, 94, 29, 109)(15, 95, 23, 103)(16, 96, 27, 107)(18, 98, 35, 115)(19, 99, 24, 104)(20, 100, 28, 108)(22, 102, 41, 121)(26, 106, 47, 127)(30, 110, 53, 133)(31, 111, 45, 125)(32, 112, 51, 131)(33, 113, 43, 123)(34, 114, 49, 129)(36, 116, 48, 128)(37, 117, 46, 126)(38, 118, 52, 132)(39, 119, 44, 124)(40, 120, 50, 130)(42, 122, 54, 134)(55, 135, 70, 150)(56, 136, 67, 147)(57, 137, 68, 148)(58, 138, 69, 149)(59, 139, 66, 146)(60, 140, 71, 151)(61, 141, 77, 157)(62, 142, 75, 155)(63, 143, 74, 154)(64, 144, 73, 153)(65, 145, 78, 158)(72, 152, 79, 159)(76, 156, 80, 160)(161, 241, 163, 243, 168, 248, 178, 258, 196, 276, 221, 301, 235, 315, 213, 293, 227, 307, 204, 284, 184, 264, 171, 251, 183, 263, 203, 283, 226, 306, 239, 319, 234, 314, 212, 292, 189, 269, 211, 291, 229, 309, 206, 286, 185, 265, 205, 285, 228, 308, 240, 320, 233, 313, 210, 290, 188, 268, 173, 253, 187, 267, 209, 289, 231, 311, 207, 287, 230, 310, 225, 305, 202, 282, 182, 262, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 186, 266, 208, 288, 232, 312, 224, 304, 201, 281, 216, 296, 192, 272, 176, 256, 167, 247, 175, 255, 191, 271, 215, 295, 237, 317, 223, 303, 200, 280, 181, 261, 199, 279, 218, 298, 194, 274, 177, 257, 193, 273, 217, 297, 238, 318, 222, 302, 198, 278, 180, 260, 169, 249, 179, 259, 197, 277, 220, 300, 195, 275, 219, 299, 236, 316, 214, 294, 190, 270, 174, 254, 166, 246)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 181)(11, 165)(12, 185)(13, 166)(14, 189)(15, 183)(16, 187)(17, 168)(18, 195)(19, 184)(20, 188)(21, 170)(22, 201)(23, 175)(24, 179)(25, 172)(26, 207)(27, 176)(28, 180)(29, 174)(30, 213)(31, 205)(32, 211)(33, 203)(34, 209)(35, 178)(36, 208)(37, 206)(38, 212)(39, 204)(40, 210)(41, 182)(42, 214)(43, 193)(44, 199)(45, 191)(46, 197)(47, 186)(48, 196)(49, 194)(50, 200)(51, 192)(52, 198)(53, 190)(54, 202)(55, 230)(56, 227)(57, 228)(58, 229)(59, 226)(60, 231)(61, 237)(62, 235)(63, 234)(64, 233)(65, 238)(66, 219)(67, 216)(68, 217)(69, 218)(70, 215)(71, 220)(72, 239)(73, 224)(74, 223)(75, 222)(76, 240)(77, 221)(78, 225)(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, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 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 E18.975
Graph:: bipartite
	v = 42 e = 160 f = 84
	degree seq :: [ 4^40, 80^2 ]

E18.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 40})
Quotient :: dipole
Aut^+ = C5 x QD16 (small group id <80, 26>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, Y3^3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3, Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-1, Y3^3 * Y1^-1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 16, 96, 34, 114, 60, 140, 48, 128, 69, 149, 78, 158, 77, 157, 80, 160, 76, 156, 79, 159, 75, 155, 59, 139, 74, 154, 53, 133, 27, 107, 13, 93, 4, 84)(3, 83, 9, 89, 17, 97, 8, 88, 21, 101, 35, 115, 62, 142, 54, 134, 70, 150, 40, 120, 68, 148, 56, 136, 67, 147, 57, 137, 33, 113, 58, 138, 66, 146, 50, 130, 28, 108, 11, 91)(5, 85, 14, 94, 18, 98, 37, 117, 61, 141, 49, 129, 25, 105, 47, 127, 64, 144, 46, 126, 71, 151, 45, 125, 72, 152, 44, 124, 73, 153, 52, 132, 30, 110, 12, 92, 20, 100, 7, 87)(10, 90, 24, 104, 36, 116, 23, 103, 42, 122, 22, 102, 43, 123, 63, 143, 55, 135, 29, 109, 41, 121, 19, 99, 39, 119, 31, 111, 15, 95, 32, 112, 38, 118, 65, 145, 51, 131, 26, 106)(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, 177)(7, 179)(8, 162)(9, 164)(10, 185)(11, 187)(12, 189)(13, 188)(14, 191)(15, 165)(16, 174)(17, 196)(18, 166)(19, 200)(20, 173)(21, 202)(22, 168)(23, 169)(24, 171)(25, 208)(26, 210)(27, 212)(28, 211)(29, 214)(30, 213)(31, 216)(32, 217)(33, 175)(34, 181)(35, 176)(36, 224)(37, 192)(38, 178)(39, 180)(40, 229)(41, 190)(42, 231)(43, 232)(44, 182)(45, 183)(46, 184)(47, 186)(48, 222)(49, 225)(50, 234)(51, 221)(52, 223)(53, 226)(54, 220)(55, 233)(56, 237)(57, 236)(58, 235)(59, 193)(60, 197)(61, 194)(62, 203)(63, 195)(64, 238)(65, 218)(66, 198)(67, 199)(68, 201)(69, 209)(70, 215)(71, 240)(72, 239)(73, 219)(74, 204)(75, 205)(76, 206)(77, 207)(78, 230)(79, 227)(80, 228)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 80 ), ( 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80, 4, 80 ) }
Outer automorphisms :: reflexible
Dual of E18.974
Graph:: simple bipartite
	v = 84 e = 160 f = 42
	degree seq :: [ 2^80, 40^4 ]

E18.976 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 21, 21})
Quotient :: regular
Aut^+ = C7 x A4 (small group id <84, 10>)
Aut   = (C7 x A4) : C2 (small group id <168, 46>)
|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, T1^21, T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-4 * T2 * T1^-3 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 31, 39, 47, 55, 63, 71, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(3, 7, 15, 24, 33, 42, 48, 57, 66, 72, 80, 82, 75, 67, 59, 51, 43, 35, 27, 18, 8)(6, 13, 26, 32, 41, 50, 56, 65, 74, 79, 84, 77, 69, 61, 53, 45, 37, 29, 21, 17, 14)(9, 19, 16, 12, 25, 34, 40, 49, 58, 64, 73, 81, 83, 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, 79)(73, 74)(76, 77)(78, 83)(80, 81)(82, 84)
	local type(s) :: { ( 21^21 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 4 e = 42 f = 4
	degree seq :: [ 21^4 ]

E18.977 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 21, 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 :: [ 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, T2^21, T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 * T1 * T2^-2 ]
Map::
	R = (1, 3, 8, 18, 27, 35, 43, 51, 59, 67, 75, 78, 70, 62, 54, 46, 38, 30, 22, 10, 4)(2, 5, 12, 23, 31, 39, 47, 55, 63, 71, 79, 80, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 81, 84, 77, 69, 61, 53, 45, 37, 29, 21, 13, 16)(9, 19, 11, 17, 26, 34, 42, 50, 58, 66, 74, 82, 83, 76, 68, 60, 52, 44, 36, 28, 20)(85, 86)(87, 91)(88, 93)(89, 95)(90, 97)(92, 101)(94, 105)(96, 99)(98, 104)(100, 103)(102, 107)(106, 108)(109, 110)(111, 117)(112, 113)(114, 120)(115, 118)(116, 121)(119, 126)(122, 129)(123, 125)(124, 128)(127, 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, 167)(163, 166)(164, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 42 ), ( 42^21 ) }
Outer automorphisms :: reflexible
Dual of E18.978
Transitivity :: ET+
Graph:: simple bipartite
	v = 46 e = 84 f = 4
	degree seq :: [ 2^42, 21^4 ]

E18.978 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 21, 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 :: [ 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, T2^21, T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 * T1 * T2^-2 ]
Map::
	R = (1, 85, 3, 87, 8, 92, 18, 102, 27, 111, 35, 119, 43, 127, 51, 135, 59, 143, 67, 151, 75, 159, 78, 162, 70, 154, 62, 146, 54, 138, 46, 130, 38, 122, 30, 114, 22, 106, 10, 94, 4, 88)(2, 86, 5, 89, 12, 96, 23, 107, 31, 115, 39, 123, 47, 131, 55, 139, 63, 147, 71, 155, 79, 163, 80, 164, 72, 156, 64, 148, 56, 140, 48, 132, 40, 124, 32, 116, 24, 108, 14, 98, 6, 90)(7, 91, 15, 99, 25, 109, 33, 117, 41, 125, 49, 133, 57, 141, 65, 149, 73, 157, 81, 165, 84, 168, 77, 161, 69, 153, 61, 145, 53, 137, 45, 129, 37, 121, 29, 113, 21, 105, 13, 97, 16, 100)(9, 93, 19, 103, 11, 95, 17, 101, 26, 110, 34, 118, 42, 126, 50, 134, 58, 142, 66, 150, 74, 158, 82, 166, 83, 167, 76, 160, 68, 152, 60, 144, 52, 136, 44, 128, 36, 120, 28, 112, 20, 104)
	L = (1, 86)(2, 85)(3, 91)(4, 93)(5, 95)(6, 97)(7, 87)(8, 101)(9, 88)(10, 105)(11, 89)(12, 99)(13, 90)(14, 104)(15, 96)(16, 103)(17, 92)(18, 107)(19, 100)(20, 98)(21, 94)(22, 108)(23, 102)(24, 106)(25, 110)(26, 109)(27, 117)(28, 113)(29, 112)(30, 120)(31, 118)(32, 121)(33, 111)(34, 115)(35, 126)(36, 114)(37, 116)(38, 129)(39, 125)(40, 128)(41, 123)(42, 119)(43, 131)(44, 124)(45, 122)(46, 132)(47, 127)(48, 130)(49, 134)(50, 133)(51, 141)(52, 137)(53, 136)(54, 144)(55, 142)(56, 145)(57, 135)(58, 139)(59, 150)(60, 138)(61, 140)(62, 153)(63, 149)(64, 152)(65, 147)(66, 143)(67, 155)(68, 148)(69, 146)(70, 156)(71, 151)(72, 154)(73, 158)(74, 157)(75, 165)(76, 161)(77, 160)(78, 167)(79, 166)(80, 168)(81, 159)(82, 163)(83, 162)(84, 164)
	local type(s) :: { ( 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21, 2, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.977
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 84 f = 46
	degree seq :: [ 42^4 ]

E18.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 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 :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^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, Y2^21, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 11, 95)(6, 90, 13, 97)(8, 92, 17, 101)(10, 94, 21, 105)(12, 96, 15, 99)(14, 98, 20, 104)(16, 100, 19, 103)(18, 102, 23, 107)(22, 106, 24, 108)(25, 109, 26, 110)(27, 111, 33, 117)(28, 112, 29, 113)(30, 114, 36, 120)(31, 115, 34, 118)(32, 116, 37, 121)(35, 119, 42, 126)(38, 122, 45, 129)(39, 123, 41, 125)(40, 124, 44, 128)(43, 127, 47, 131)(46, 130, 48, 132)(49, 133, 50, 134)(51, 135, 57, 141)(52, 136, 53, 137)(54, 138, 60, 144)(55, 139, 58, 142)(56, 140, 61, 145)(59, 143, 66, 150)(62, 146, 69, 153)(63, 147, 65, 149)(64, 148, 68, 152)(67, 151, 71, 155)(70, 154, 72, 156)(73, 157, 74, 158)(75, 159, 81, 165)(76, 160, 77, 161)(78, 162, 83, 167)(79, 163, 82, 166)(80, 164, 84, 168)(169, 253, 171, 255, 176, 260, 186, 270, 195, 279, 203, 287, 211, 295, 219, 303, 227, 311, 235, 319, 243, 327, 246, 330, 238, 322, 230, 314, 222, 306, 214, 298, 206, 290, 198, 282, 190, 274, 178, 262, 172, 256)(170, 254, 173, 257, 180, 264, 191, 275, 199, 283, 207, 291, 215, 299, 223, 307, 231, 315, 239, 323, 247, 331, 248, 332, 240, 324, 232, 316, 224, 308, 216, 300, 208, 292, 200, 284, 192, 276, 182, 266, 174, 258)(175, 259, 183, 267, 193, 277, 201, 285, 209, 293, 217, 301, 225, 309, 233, 317, 241, 325, 249, 333, 252, 336, 245, 329, 237, 321, 229, 313, 221, 305, 213, 297, 205, 289, 197, 281, 189, 273, 181, 265, 184, 268)(177, 261, 187, 271, 179, 263, 185, 269, 194, 278, 202, 286, 210, 294, 218, 302, 226, 310, 234, 318, 242, 326, 250, 334, 251, 335, 244, 328, 236, 320, 228, 312, 220, 304, 212, 296, 204, 288, 196, 280, 188, 272)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 185)(9, 172)(10, 189)(11, 173)(12, 183)(13, 174)(14, 188)(15, 180)(16, 187)(17, 176)(18, 191)(19, 184)(20, 182)(21, 178)(22, 192)(23, 186)(24, 190)(25, 194)(26, 193)(27, 201)(28, 197)(29, 196)(30, 204)(31, 202)(32, 205)(33, 195)(34, 199)(35, 210)(36, 198)(37, 200)(38, 213)(39, 209)(40, 212)(41, 207)(42, 203)(43, 215)(44, 208)(45, 206)(46, 216)(47, 211)(48, 214)(49, 218)(50, 217)(51, 225)(52, 221)(53, 220)(54, 228)(55, 226)(56, 229)(57, 219)(58, 223)(59, 234)(60, 222)(61, 224)(62, 237)(63, 233)(64, 236)(65, 231)(66, 227)(67, 239)(68, 232)(69, 230)(70, 240)(71, 235)(72, 238)(73, 242)(74, 241)(75, 249)(76, 245)(77, 244)(78, 251)(79, 250)(80, 252)(81, 243)(82, 247)(83, 246)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.980
Graph:: bipartite
	v = 46 e = 168 f = 88
	degree seq :: [ 4^42, 42^4 ]

E18.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 21, 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, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1^21, Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-4 * Y3 * Y1^-3 * Y3 * Y1^-2 ]
Map::
	R = (1, 85, 2, 86, 5, 89, 11, 95, 23, 107, 31, 115, 39, 123, 47, 131, 55, 139, 63, 147, 71, 155, 78, 162, 70, 154, 62, 146, 54, 138, 46, 130, 38, 122, 30, 114, 22, 106, 10, 94, 4, 88)(3, 87, 7, 91, 15, 99, 24, 108, 33, 117, 42, 126, 48, 132, 57, 141, 66, 150, 72, 156, 80, 164, 82, 166, 75, 159, 67, 151, 59, 143, 51, 135, 43, 127, 35, 119, 27, 111, 18, 102, 8, 92)(6, 90, 13, 97, 26, 110, 32, 116, 41, 125, 50, 134, 56, 140, 65, 149, 74, 158, 79, 163, 84, 168, 77, 161, 69, 153, 61, 145, 53, 137, 45, 129, 37, 121, 29, 113, 21, 105, 17, 101, 14, 98)(9, 93, 19, 103, 16, 100, 12, 96, 25, 109, 34, 118, 40, 124, 49, 133, 58, 142, 64, 148, 73, 157, 81, 165, 83, 167, 76, 160, 68, 152, 60, 144, 52, 136, 44, 128, 36, 120, 28, 112, 20, 104)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 174)(3, 169)(4, 177)(5, 180)(6, 170)(7, 184)(8, 185)(9, 172)(10, 189)(11, 192)(12, 173)(13, 183)(14, 187)(15, 181)(16, 175)(17, 176)(18, 188)(19, 182)(20, 186)(21, 178)(22, 195)(23, 200)(24, 179)(25, 194)(26, 193)(27, 190)(28, 197)(29, 196)(30, 204)(31, 208)(32, 191)(33, 202)(34, 201)(35, 205)(36, 198)(37, 203)(38, 213)(39, 216)(40, 199)(41, 210)(42, 209)(43, 212)(44, 211)(45, 206)(46, 219)(47, 224)(48, 207)(49, 218)(50, 217)(51, 214)(52, 221)(53, 220)(54, 228)(55, 232)(56, 215)(57, 226)(58, 225)(59, 229)(60, 222)(61, 227)(62, 237)(63, 240)(64, 223)(65, 234)(66, 233)(67, 236)(68, 235)(69, 230)(70, 243)(71, 247)(72, 231)(73, 242)(74, 241)(75, 238)(76, 245)(77, 244)(78, 251)(79, 239)(80, 249)(81, 248)(82, 252)(83, 246)(84, 250)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 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 E18.979
Graph:: simple bipartite
	v = 88 e = 168 f = 46
	degree seq :: [ 2^84, 42^4 ]

E18.981 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 42})
Quotient :: regular
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|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^-7 * T2 * T1^-4 * T2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 71, 59, 47, 33, 17, 29, 44, 31, 45, 58, 70, 82, 84, 83, 72, 60, 48, 34, 46, 32, 16, 28, 43, 57, 69, 81, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 79, 74, 62, 50, 36, 20, 9, 19, 26, 12, 25, 42, 54, 67, 80, 75, 63, 51, 37, 21, 30, 14, 6, 13, 27, 40, 55, 68, 78, 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, 83)(75, 77)(76, 79)(80, 84)
	local type(s) :: { ( 14^42 ) }
Outer automorphisms :: reflexible
Dual of E18.982
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 42 f = 6
	degree seq :: [ 42^2 ]

E18.982 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 14, 42})
Quotient :: regular
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T1^14, T1^-1 * T2 * T1^-1 * 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^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 73, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 72, 71, 59, 45, 30, 18, 9, 14)(15, 25, 35, 51, 64, 75, 80, 78, 68, 56, 42, 27, 16, 26)(23, 36, 50, 65, 74, 81, 79, 70, 58, 44, 29, 38, 24, 37)(39, 52, 66, 76, 82, 84, 83, 77, 67, 55, 41, 54, 40, 53)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 72)(63, 74)(65, 76)(70, 77)(71, 79)(73, 80)(75, 82)(78, 83)(81, 84)
	local type(s) :: { ( 42^14 ) }
Outer automorphisms :: reflexible
Dual of E18.981
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 42 f = 2
	degree seq :: [ 14^6 ]

E18.983 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 42})
Quotient :: edge
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|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, T2^14, T2^-1 * 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 * T1 * T2 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 69, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 63, 74, 66, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 68, 78, 71, 59, 45, 30, 18, 9, 16)(11, 20, 33, 49, 62, 73, 81, 76, 65, 53, 37, 23, 13, 21)(25, 39, 55, 67, 77, 83, 79, 70, 58, 44, 29, 42, 27, 40)(32, 47, 61, 72, 80, 84, 82, 75, 64, 52, 36, 50, 34, 48)(85, 86)(87, 91)(88, 93)(89, 95)(90, 97)(92, 96)(94, 98)(99, 109)(100, 111)(101, 110)(102, 113)(103, 114)(104, 116)(105, 118)(106, 117)(107, 120)(108, 121)(112, 119)(115, 122)(123, 131)(124, 132)(125, 139)(126, 134)(127, 140)(128, 136)(129, 142)(130, 143)(133, 145)(135, 146)(137, 148)(138, 149)(141, 147)(144, 150)(151, 156)(152, 161)(153, 162)(154, 159)(155, 163)(157, 164)(158, 165)(160, 166)(167, 168)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 84, 84 ), ( 84^14 ) }
Outer automorphisms :: reflexible
Dual of E18.987
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 84 f = 2
	degree seq :: [ 2^42, 14^6 ]

E18.984 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 42})
Quotient :: edge
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-3 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-3 * T1, T2^2 * T1^-1 * T2^-4 * T1^-1, T2^-1 * T1 * T2^-1 * T1^11, T1^-1 * T2^2 * T1^-1 * T2^38 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 81, 71, 59, 38, 18, 6, 17, 36, 57, 41, 30, 52, 66, 78, 84, 70, 54, 34, 21, 42, 60, 39, 20, 13, 28, 50, 64, 76, 80, 67, 55, 43, 33, 15, 5)(2, 7, 19, 40, 26, 49, 65, 74, 83, 72, 56, 35, 16, 14, 31, 46, 24, 11, 27, 51, 62, 75, 82, 68, 53, 37, 32, 45, 23, 9, 4, 12, 29, 48, 63, 77, 79, 69, 58, 44, 22, 8)(85, 86, 90, 100, 118, 137, 151, 163, 157, 149, 136, 111, 97, 88)(87, 93, 101, 92, 105, 119, 139, 152, 165, 161, 150, 133, 112, 95)(89, 98, 102, 121, 138, 153, 164, 158, 145, 135, 114, 96, 104, 91)(94, 108, 120, 107, 126, 106, 127, 140, 155, 166, 162, 147, 134, 110)(99, 116, 122, 142, 154, 167, 160, 146, 131, 113, 125, 103, 123, 115)(109, 124, 141, 130, 144, 129, 117, 128, 143, 156, 168, 159, 148, 132)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4^14 ), ( 4^42 ) }
Outer automorphisms :: reflexible
Dual of E18.988
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 84 f = 42
	degree seq :: [ 14^6, 42^2 ]

E18.985 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 14, 42})
Quotient :: edge
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-3 * T2 * T1^3 * T2, (T1^-7 * T2)^2, T1^42 ]
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, 83)(75, 77)(76, 79)(80, 84)(85, 86, 89, 95, 107, 123, 137, 149, 161, 155, 143, 131, 117, 101, 113, 128, 115, 129, 142, 154, 166, 168, 167, 156, 144, 132, 118, 130, 116, 100, 112, 127, 141, 153, 165, 160, 148, 136, 122, 106, 94, 88)(87, 91, 99, 108, 125, 140, 150, 163, 158, 146, 134, 120, 104, 93, 103, 110, 96, 109, 126, 138, 151, 164, 159, 147, 135, 121, 105, 114, 98, 90, 97, 111, 124, 139, 152, 162, 157, 145, 133, 119, 102, 92)
	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, 28 ), ( 28^42 ) }
Outer automorphisms :: reflexible
Dual of E18.986
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 84 f = 6
	degree seq :: [ 2^42, 42^2 ]

E18.986 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 42})
Quotient :: loop
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|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, T2^14, T2^-1 * 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 * T1 * T2 * T1 ]
Map::
	R = (1, 85, 3, 87, 8, 92, 17, 101, 28, 112, 43, 127, 57, 141, 69, 153, 60, 144, 46, 130, 31, 115, 19, 103, 10, 94, 4, 88)(2, 86, 5, 89, 12, 96, 22, 106, 35, 119, 51, 135, 63, 147, 74, 158, 66, 150, 54, 138, 38, 122, 24, 108, 14, 98, 6, 90)(7, 91, 15, 99, 26, 110, 41, 125, 56, 140, 68, 152, 78, 162, 71, 155, 59, 143, 45, 129, 30, 114, 18, 102, 9, 93, 16, 100)(11, 95, 20, 104, 33, 117, 49, 133, 62, 146, 73, 157, 81, 165, 76, 160, 65, 149, 53, 137, 37, 121, 23, 107, 13, 97, 21, 105)(25, 109, 39, 123, 55, 139, 67, 151, 77, 161, 83, 167, 79, 163, 70, 154, 58, 142, 44, 128, 29, 113, 42, 126, 27, 111, 40, 124)(32, 116, 47, 131, 61, 145, 72, 156, 80, 164, 84, 168, 82, 166, 75, 159, 64, 148, 52, 136, 36, 120, 50, 134, 34, 118, 48, 132)
	L = (1, 86)(2, 85)(3, 91)(4, 93)(5, 95)(6, 97)(7, 87)(8, 96)(9, 88)(10, 98)(11, 89)(12, 92)(13, 90)(14, 94)(15, 109)(16, 111)(17, 110)(18, 113)(19, 114)(20, 116)(21, 118)(22, 117)(23, 120)(24, 121)(25, 99)(26, 101)(27, 100)(28, 119)(29, 102)(30, 103)(31, 122)(32, 104)(33, 106)(34, 105)(35, 112)(36, 107)(37, 108)(38, 115)(39, 131)(40, 132)(41, 139)(42, 134)(43, 140)(44, 136)(45, 142)(46, 143)(47, 123)(48, 124)(49, 145)(50, 126)(51, 146)(52, 128)(53, 148)(54, 149)(55, 125)(56, 127)(57, 147)(58, 129)(59, 130)(60, 150)(61, 133)(62, 135)(63, 141)(64, 137)(65, 138)(66, 144)(67, 156)(68, 161)(69, 162)(70, 159)(71, 163)(72, 151)(73, 164)(74, 165)(75, 154)(76, 166)(77, 152)(78, 153)(79, 155)(80, 157)(81, 158)(82, 160)(83, 168)(84, 167)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.985
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 84 f = 44
	degree seq :: [ 28^6 ]

E18.987 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 42})
Quotient :: loop
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T1^-3 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-3 * T2^-1 * T1, T2^3 * T1^-1 * T2^-3 * T1, T2^2 * T1^-1 * T2^-4 * T1^-1, T2^-1 * T1 * T2^-1 * T1^11, T1^-1 * T2^2 * T1^-1 * T2^38 ]
Map::
	R = (1, 85, 3, 87, 10, 94, 25, 109, 47, 131, 61, 145, 73, 157, 81, 165, 71, 155, 59, 143, 38, 122, 18, 102, 6, 90, 17, 101, 36, 120, 57, 141, 41, 125, 30, 114, 52, 136, 66, 150, 78, 162, 84, 168, 70, 154, 54, 138, 34, 118, 21, 105, 42, 126, 60, 144, 39, 123, 20, 104, 13, 97, 28, 112, 50, 134, 64, 148, 76, 160, 80, 164, 67, 151, 55, 139, 43, 127, 33, 117, 15, 99, 5, 89)(2, 86, 7, 91, 19, 103, 40, 124, 26, 110, 49, 133, 65, 149, 74, 158, 83, 167, 72, 156, 56, 140, 35, 119, 16, 100, 14, 98, 31, 115, 46, 130, 24, 108, 11, 95, 27, 111, 51, 135, 62, 146, 75, 159, 82, 166, 68, 152, 53, 137, 37, 121, 32, 116, 45, 129, 23, 107, 9, 93, 4, 88, 12, 96, 29, 113, 48, 132, 63, 147, 77, 161, 79, 163, 69, 153, 58, 142, 44, 128, 22, 106, 8, 92)
	L = (1, 86)(2, 90)(3, 93)(4, 85)(5, 98)(6, 100)(7, 89)(8, 105)(9, 101)(10, 108)(11, 87)(12, 104)(13, 88)(14, 102)(15, 116)(16, 118)(17, 92)(18, 121)(19, 123)(20, 91)(21, 119)(22, 127)(23, 126)(24, 120)(25, 124)(26, 94)(27, 97)(28, 95)(29, 125)(30, 96)(31, 99)(32, 122)(33, 128)(34, 137)(35, 139)(36, 107)(37, 138)(38, 142)(39, 115)(40, 141)(41, 103)(42, 106)(43, 140)(44, 143)(45, 117)(46, 144)(47, 113)(48, 109)(49, 112)(50, 110)(51, 114)(52, 111)(53, 151)(54, 153)(55, 152)(56, 155)(57, 130)(58, 154)(59, 156)(60, 129)(61, 135)(62, 131)(63, 134)(64, 132)(65, 136)(66, 133)(67, 163)(68, 165)(69, 164)(70, 167)(71, 166)(72, 168)(73, 149)(74, 145)(75, 148)(76, 146)(77, 150)(78, 147)(79, 157)(80, 158)(81, 161)(82, 162)(83, 160)(84, 159)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.983
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 84 f = 48
	degree seq :: [ 84^2 ]

E18.988 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 14, 42})
Quotient :: loop
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^-3 * T2 * T1^3 * T2, (T1^-7 * T2)^2, T1^42 ]
Map:: polytopal non-degenerate
	R = (1, 85, 3, 87)(2, 86, 6, 90)(4, 88, 9, 93)(5, 89, 12, 96)(7, 91, 16, 100)(8, 92, 17, 101)(10, 94, 21, 105)(11, 95, 24, 108)(13, 97, 28, 112)(14, 98, 29, 113)(15, 99, 31, 115)(18, 102, 34, 118)(19, 103, 32, 116)(20, 104, 33, 117)(22, 106, 35, 119)(23, 107, 40, 124)(25, 109, 43, 127)(26, 110, 44, 128)(27, 111, 45, 129)(30, 114, 46, 130)(36, 120, 48, 132)(37, 121, 47, 131)(38, 122, 50, 134)(39, 123, 54, 138)(41, 125, 57, 141)(42, 126, 58, 142)(49, 133, 59, 143)(51, 135, 60, 144)(52, 136, 63, 147)(53, 137, 66, 150)(55, 139, 69, 153)(56, 140, 70, 154)(61, 145, 72, 156)(62, 146, 71, 155)(64, 148, 73, 157)(65, 149, 78, 162)(67, 151, 81, 165)(68, 152, 82, 166)(74, 158, 83, 167)(75, 159, 77, 161)(76, 160, 79, 163)(80, 164, 84, 168)
	L = (1, 86)(2, 89)(3, 91)(4, 85)(5, 95)(6, 97)(7, 99)(8, 87)(9, 103)(10, 88)(11, 107)(12, 109)(13, 111)(14, 90)(15, 108)(16, 112)(17, 113)(18, 92)(19, 110)(20, 93)(21, 114)(22, 94)(23, 123)(24, 125)(25, 126)(26, 96)(27, 124)(28, 127)(29, 128)(30, 98)(31, 129)(32, 100)(33, 101)(34, 130)(35, 102)(36, 104)(37, 105)(38, 106)(39, 137)(40, 139)(41, 140)(42, 138)(43, 141)(44, 115)(45, 142)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 149)(54, 151)(55, 152)(56, 150)(57, 153)(58, 154)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 161)(66, 163)(67, 164)(68, 162)(69, 165)(70, 166)(71, 143)(72, 144)(73, 145)(74, 146)(75, 147)(76, 148)(77, 155)(78, 157)(79, 158)(80, 159)(81, 160)(82, 168)(83, 156)(84, 167)
	local type(s) :: { ( 14, 42, 14, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.984
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 42 e = 84 f = 8
	degree seq :: [ 4^42 ]

E18.989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^14, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 11, 95)(6, 90, 13, 97)(8, 92, 12, 96)(10, 94, 14, 98)(15, 99, 25, 109)(16, 100, 27, 111)(17, 101, 26, 110)(18, 102, 29, 113)(19, 103, 30, 114)(20, 104, 32, 116)(21, 105, 34, 118)(22, 106, 33, 117)(23, 107, 36, 120)(24, 108, 37, 121)(28, 112, 35, 119)(31, 115, 38, 122)(39, 123, 47, 131)(40, 124, 48, 132)(41, 125, 55, 139)(42, 126, 50, 134)(43, 127, 56, 140)(44, 128, 52, 136)(45, 129, 58, 142)(46, 130, 59, 143)(49, 133, 61, 145)(51, 135, 62, 146)(53, 137, 64, 148)(54, 138, 65, 149)(57, 141, 63, 147)(60, 144, 66, 150)(67, 151, 72, 156)(68, 152, 77, 161)(69, 153, 78, 162)(70, 154, 75, 159)(71, 155, 79, 163)(73, 157, 80, 164)(74, 158, 81, 165)(76, 160, 82, 166)(83, 167, 84, 168)(169, 253, 171, 255, 176, 260, 185, 269, 196, 280, 211, 295, 225, 309, 237, 321, 228, 312, 214, 298, 199, 283, 187, 271, 178, 262, 172, 256)(170, 254, 173, 257, 180, 264, 190, 274, 203, 287, 219, 303, 231, 315, 242, 326, 234, 318, 222, 306, 206, 290, 192, 276, 182, 266, 174, 258)(175, 259, 183, 267, 194, 278, 209, 293, 224, 308, 236, 320, 246, 330, 239, 323, 227, 311, 213, 297, 198, 282, 186, 270, 177, 261, 184, 268)(179, 263, 188, 272, 201, 285, 217, 301, 230, 314, 241, 325, 249, 333, 244, 328, 233, 317, 221, 305, 205, 289, 191, 275, 181, 265, 189, 273)(193, 277, 207, 291, 223, 307, 235, 319, 245, 329, 251, 335, 247, 331, 238, 322, 226, 310, 212, 296, 197, 281, 210, 294, 195, 279, 208, 292)(200, 284, 215, 299, 229, 313, 240, 324, 248, 332, 252, 336, 250, 334, 243, 327, 232, 316, 220, 304, 204, 288, 218, 302, 202, 286, 216, 300)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 180)(9, 172)(10, 182)(11, 173)(12, 176)(13, 174)(14, 178)(15, 193)(16, 195)(17, 194)(18, 197)(19, 198)(20, 200)(21, 202)(22, 201)(23, 204)(24, 205)(25, 183)(26, 185)(27, 184)(28, 203)(29, 186)(30, 187)(31, 206)(32, 188)(33, 190)(34, 189)(35, 196)(36, 191)(37, 192)(38, 199)(39, 215)(40, 216)(41, 223)(42, 218)(43, 224)(44, 220)(45, 226)(46, 227)(47, 207)(48, 208)(49, 229)(50, 210)(51, 230)(52, 212)(53, 232)(54, 233)(55, 209)(56, 211)(57, 231)(58, 213)(59, 214)(60, 234)(61, 217)(62, 219)(63, 225)(64, 221)(65, 222)(66, 228)(67, 240)(68, 245)(69, 246)(70, 243)(71, 247)(72, 235)(73, 248)(74, 249)(75, 238)(76, 250)(77, 236)(78, 237)(79, 239)(80, 241)(81, 242)(82, 244)(83, 252)(84, 251)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.992
Graph:: bipartite
	v = 48 e = 168 f = 86
	degree seq :: [ 4^42, 28^6 ]

E18.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^4 * Y1 * Y2^-2 * Y1, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2, Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-8, Y1^-1 * Y2^2 * Y1^-1 * Y2^38 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 34, 118, 53, 137, 67, 151, 79, 163, 73, 157, 65, 149, 52, 136, 27, 111, 13, 97, 4, 88)(3, 87, 9, 93, 17, 101, 8, 92, 21, 105, 35, 119, 55, 139, 68, 152, 81, 165, 77, 161, 66, 150, 49, 133, 28, 112, 11, 95)(5, 89, 14, 98, 18, 102, 37, 121, 54, 138, 69, 153, 80, 164, 74, 158, 61, 145, 51, 135, 30, 114, 12, 96, 20, 104, 7, 91)(10, 94, 24, 108, 36, 120, 23, 107, 42, 126, 22, 106, 43, 127, 56, 140, 71, 155, 82, 166, 78, 162, 63, 147, 50, 134, 26, 110)(15, 99, 32, 116, 38, 122, 58, 142, 70, 154, 83, 167, 76, 160, 62, 146, 47, 131, 29, 113, 41, 125, 19, 103, 39, 123, 31, 115)(25, 109, 40, 124, 57, 141, 46, 130, 60, 144, 45, 129, 33, 117, 44, 128, 59, 143, 72, 156, 84, 168, 75, 159, 64, 148, 48, 132)(169, 253, 171, 255, 178, 262, 193, 277, 215, 299, 229, 313, 241, 325, 249, 333, 239, 323, 227, 311, 206, 290, 186, 270, 174, 258, 185, 269, 204, 288, 225, 309, 209, 293, 198, 282, 220, 304, 234, 318, 246, 330, 252, 336, 238, 322, 222, 306, 202, 286, 189, 273, 210, 294, 228, 312, 207, 291, 188, 272, 181, 265, 196, 280, 218, 302, 232, 316, 244, 328, 248, 332, 235, 319, 223, 307, 211, 295, 201, 285, 183, 267, 173, 257)(170, 254, 175, 259, 187, 271, 208, 292, 194, 278, 217, 301, 233, 317, 242, 326, 251, 335, 240, 324, 224, 308, 203, 287, 184, 268, 182, 266, 199, 283, 214, 298, 192, 276, 179, 263, 195, 279, 219, 303, 230, 314, 243, 327, 250, 334, 236, 320, 221, 305, 205, 289, 200, 284, 213, 297, 191, 275, 177, 261, 172, 256, 180, 264, 197, 281, 216, 300, 231, 315, 245, 329, 247, 331, 237, 321, 226, 310, 212, 296, 190, 274, 176, 260)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 185)(7, 187)(8, 170)(9, 172)(10, 193)(11, 195)(12, 197)(13, 196)(14, 199)(15, 173)(16, 182)(17, 204)(18, 174)(19, 208)(20, 181)(21, 210)(22, 176)(23, 177)(24, 179)(25, 215)(26, 217)(27, 219)(28, 218)(29, 216)(30, 220)(31, 214)(32, 213)(33, 183)(34, 189)(35, 184)(36, 225)(37, 200)(38, 186)(39, 188)(40, 194)(41, 198)(42, 228)(43, 201)(44, 190)(45, 191)(46, 192)(47, 229)(48, 231)(49, 233)(50, 232)(51, 230)(52, 234)(53, 205)(54, 202)(55, 211)(56, 203)(57, 209)(58, 212)(59, 206)(60, 207)(61, 241)(62, 243)(63, 245)(64, 244)(65, 242)(66, 246)(67, 223)(68, 221)(69, 226)(70, 222)(71, 227)(72, 224)(73, 249)(74, 251)(75, 250)(76, 248)(77, 247)(78, 252)(79, 237)(80, 235)(81, 239)(82, 236)(83, 240)(84, 238)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.991
Graph:: bipartite
	v = 8 e = 168 f = 126
	degree seq :: [ 28^6, 84^2 ]

E18.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|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 * Y3^4 * Y2 * Y3^3, (Y3^-1 * Y1^-1)^42 ]
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)(171, 255, 175, 259)(172, 256, 177, 261)(173, 257, 179, 263)(174, 258, 181, 265)(176, 260, 185, 269)(178, 262, 189, 273)(180, 264, 193, 277)(182, 266, 197, 281)(183, 267, 191, 275)(184, 268, 195, 279)(186, 270, 194, 278)(187, 271, 192, 276)(188, 272, 196, 280)(190, 274, 198, 282)(199, 283, 209, 293)(200, 284, 208, 292)(201, 285, 207, 291)(202, 286, 210, 294)(203, 287, 215, 299)(204, 288, 213, 297)(205, 289, 212, 296)(206, 290, 218, 302)(211, 295, 221, 305)(214, 298, 224, 308)(216, 300, 222, 306)(217, 301, 228, 312)(219, 303, 225, 309)(220, 304, 231, 315)(223, 307, 234, 318)(226, 310, 237, 321)(227, 311, 233, 317)(229, 313, 235, 319)(230, 314, 236, 320)(232, 316, 238, 322)(239, 323, 246, 330)(240, 324, 245, 329)(241, 325, 250, 334)(242, 326, 249, 333)(243, 327, 248, 332)(244, 328, 247, 331)(251, 335, 252, 336)
	L = (1, 171)(2, 173)(3, 176)(4, 169)(5, 180)(6, 170)(7, 183)(8, 186)(9, 187)(10, 172)(11, 191)(12, 194)(13, 195)(14, 174)(15, 199)(16, 175)(17, 201)(18, 203)(19, 202)(20, 177)(21, 200)(22, 178)(23, 207)(24, 179)(25, 209)(26, 211)(27, 210)(28, 181)(29, 208)(30, 182)(31, 215)(32, 184)(33, 216)(34, 185)(35, 217)(36, 188)(37, 189)(38, 190)(39, 221)(40, 192)(41, 222)(42, 193)(43, 223)(44, 196)(45, 197)(46, 198)(47, 227)(48, 228)(49, 229)(50, 204)(51, 205)(52, 206)(53, 233)(54, 234)(55, 235)(56, 212)(57, 213)(58, 214)(59, 239)(60, 240)(61, 241)(62, 218)(63, 219)(64, 220)(65, 245)(66, 246)(67, 247)(68, 224)(69, 225)(70, 226)(71, 250)(72, 251)(73, 248)(74, 230)(75, 231)(76, 232)(77, 244)(78, 252)(79, 242)(80, 236)(81, 237)(82, 238)(83, 243)(84, 249)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 28, 84 ), ( 28, 84, 28, 84 ) }
Outer automorphisms :: reflexible
Dual of E18.990
Graph:: simple bipartite
	v = 126 e = 168 f = 8
	degree seq :: [ 2^84, 4^42 ]

E18.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^3 * Y3 * Y1^-3, (Y1^-7 * Y3)^2, Y1^42 ]
Map::
	R = (1, 85, 2, 86, 5, 89, 11, 95, 23, 107, 39, 123, 53, 137, 65, 149, 77, 161, 71, 155, 59, 143, 47, 131, 33, 117, 17, 101, 29, 113, 44, 128, 31, 115, 45, 129, 58, 142, 70, 154, 82, 166, 84, 168, 83, 167, 72, 156, 60, 144, 48, 132, 34, 118, 46, 130, 32, 116, 16, 100, 28, 112, 43, 127, 57, 141, 69, 153, 81, 165, 76, 160, 64, 148, 52, 136, 38, 122, 22, 106, 10, 94, 4, 88)(3, 87, 7, 91, 15, 99, 24, 108, 41, 125, 56, 140, 66, 150, 79, 163, 74, 158, 62, 146, 50, 134, 36, 120, 20, 104, 9, 93, 19, 103, 26, 110, 12, 96, 25, 109, 42, 126, 54, 138, 67, 151, 80, 164, 75, 159, 63, 147, 51, 135, 37, 121, 21, 105, 30, 114, 14, 98, 6, 90, 13, 97, 27, 111, 40, 124, 55, 139, 68, 152, 78, 162, 73, 157, 61, 145, 49, 133, 35, 119, 18, 102, 8, 92)(169, 253)(170, 254)(171, 255)(172, 256)(173, 257)(174, 258)(175, 259)(176, 260)(177, 261)(178, 262)(179, 263)(180, 264)(181, 265)(182, 266)(183, 267)(184, 268)(185, 269)(186, 270)(187, 271)(188, 272)(189, 273)(190, 274)(191, 275)(192, 276)(193, 277)(194, 278)(195, 279)(196, 280)(197, 281)(198, 282)(199, 283)(200, 284)(201, 285)(202, 286)(203, 287)(204, 288)(205, 289)(206, 290)(207, 291)(208, 292)(209, 293)(210, 294)(211, 295)(212, 296)(213, 297)(214, 298)(215, 299)(216, 300)(217, 301)(218, 302)(219, 303)(220, 304)(221, 305)(222, 306)(223, 307)(224, 308)(225, 309)(226, 310)(227, 311)(228, 312)(229, 313)(230, 314)(231, 315)(232, 316)(233, 317)(234, 318)(235, 319)(236, 320)(237, 321)(238, 322)(239, 323)(240, 324)(241, 325)(242, 326)(243, 327)(244, 328)(245, 329)(246, 330)(247, 331)(248, 332)(249, 333)(250, 334)(251, 335)(252, 336)
	L = (1, 171)(2, 174)(3, 169)(4, 177)(5, 180)(6, 170)(7, 184)(8, 185)(9, 172)(10, 189)(11, 192)(12, 173)(13, 196)(14, 197)(15, 199)(16, 175)(17, 176)(18, 202)(19, 200)(20, 201)(21, 178)(22, 203)(23, 208)(24, 179)(25, 211)(26, 212)(27, 213)(28, 181)(29, 182)(30, 214)(31, 183)(32, 187)(33, 188)(34, 186)(35, 190)(36, 216)(37, 215)(38, 218)(39, 222)(40, 191)(41, 225)(42, 226)(43, 193)(44, 194)(45, 195)(46, 198)(47, 205)(48, 204)(49, 227)(50, 206)(51, 228)(52, 231)(53, 234)(54, 207)(55, 237)(56, 238)(57, 209)(58, 210)(59, 217)(60, 219)(61, 240)(62, 239)(63, 220)(64, 241)(65, 246)(66, 221)(67, 249)(68, 250)(69, 223)(70, 224)(71, 230)(72, 229)(73, 232)(74, 251)(75, 245)(76, 247)(77, 243)(78, 233)(79, 244)(80, 252)(81, 235)(82, 236)(83, 242)(84, 248)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 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 E18.989
Graph:: simple bipartite
	v = 86 e = 168 f = 48
	degree seq :: [ 2^84, 84^2 ]

E18.993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-2)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, Y2^7 * Y1 * Y2^4 * Y1 * Y2^3, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 85, 2, 86)(3, 87, 7, 91)(4, 88, 9, 93)(5, 89, 11, 95)(6, 90, 13, 97)(8, 92, 17, 101)(10, 94, 21, 105)(12, 96, 25, 109)(14, 98, 29, 113)(15, 99, 23, 107)(16, 100, 27, 111)(18, 102, 26, 110)(19, 103, 24, 108)(20, 104, 28, 112)(22, 106, 30, 114)(31, 115, 41, 125)(32, 116, 40, 124)(33, 117, 39, 123)(34, 118, 42, 126)(35, 119, 47, 131)(36, 120, 45, 129)(37, 121, 44, 128)(38, 122, 50, 134)(43, 127, 53, 137)(46, 130, 56, 140)(48, 132, 54, 138)(49, 133, 60, 144)(51, 135, 57, 141)(52, 136, 63, 147)(55, 139, 66, 150)(58, 142, 69, 153)(59, 143, 65, 149)(61, 145, 67, 151)(62, 146, 68, 152)(64, 148, 70, 154)(71, 155, 78, 162)(72, 156, 77, 161)(73, 157, 82, 166)(74, 158, 81, 165)(75, 159, 80, 164)(76, 160, 79, 163)(83, 167, 84, 168)(169, 253, 171, 255, 176, 260, 186, 270, 203, 287, 217, 301, 229, 313, 241, 325, 248, 332, 236, 320, 224, 308, 212, 296, 196, 280, 181, 265, 195, 279, 210, 294, 193, 277, 209, 293, 222, 306, 234, 318, 246, 330, 252, 336, 249, 333, 237, 321, 225, 309, 213, 297, 197, 281, 208, 292, 192, 276, 179, 263, 191, 275, 207, 291, 221, 305, 233, 317, 245, 329, 244, 328, 232, 316, 220, 304, 206, 290, 190, 274, 178, 262, 172, 256)(170, 254, 173, 257, 180, 264, 194, 278, 211, 295, 223, 307, 235, 319, 247, 331, 242, 326, 230, 314, 218, 302, 204, 288, 188, 272, 177, 261, 187, 271, 202, 286, 185, 269, 201, 285, 216, 300, 228, 312, 240, 324, 251, 335, 243, 327, 231, 315, 219, 303, 205, 289, 189, 273, 200, 284, 184, 268, 175, 259, 183, 267, 199, 283, 215, 299, 227, 311, 239, 323, 250, 334, 238, 322, 226, 310, 214, 298, 198, 282, 182, 266, 174, 258)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 185)(9, 172)(10, 189)(11, 173)(12, 193)(13, 174)(14, 197)(15, 191)(16, 195)(17, 176)(18, 194)(19, 192)(20, 196)(21, 178)(22, 198)(23, 183)(24, 187)(25, 180)(26, 186)(27, 184)(28, 188)(29, 182)(30, 190)(31, 209)(32, 208)(33, 207)(34, 210)(35, 215)(36, 213)(37, 212)(38, 218)(39, 201)(40, 200)(41, 199)(42, 202)(43, 221)(44, 205)(45, 204)(46, 224)(47, 203)(48, 222)(49, 228)(50, 206)(51, 225)(52, 231)(53, 211)(54, 216)(55, 234)(56, 214)(57, 219)(58, 237)(59, 233)(60, 217)(61, 235)(62, 236)(63, 220)(64, 238)(65, 227)(66, 223)(67, 229)(68, 230)(69, 226)(70, 232)(71, 246)(72, 245)(73, 250)(74, 249)(75, 248)(76, 247)(77, 240)(78, 239)(79, 244)(80, 243)(81, 242)(82, 241)(83, 252)(84, 251)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 2, 28, 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 E18.994
Graph:: bipartite
	v = 44 e = 168 f = 90
	degree seq :: [ 4^42, 84^2 ]

E18.994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 14, 42})
Quotient :: dipole
Aut^+ = C14 x S3 (small group id <84, 13>)
Aut   = C2 x S3 x D14 (small group id <168, 50>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y3^4 * Y1 * Y3^-2 * Y1, Y3^2 * Y1^-1 * Y3^-4 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-8, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 85, 2, 86, 6, 90, 16, 100, 34, 118, 53, 137, 67, 151, 79, 163, 73, 157, 65, 149, 52, 136, 27, 111, 13, 97, 4, 88)(3, 87, 9, 93, 17, 101, 8, 92, 21, 105, 35, 119, 55, 139, 68, 152, 81, 165, 77, 161, 66, 150, 49, 133, 28, 112, 11, 95)(5, 89, 14, 98, 18, 102, 37, 121, 54, 138, 69, 153, 80, 164, 74, 158, 61, 145, 51, 135, 30, 114, 12, 96, 20, 104, 7, 91)(10, 94, 24, 108, 36, 120, 23, 107, 42, 126, 22, 106, 43, 127, 56, 140, 71, 155, 82, 166, 78, 162, 63, 147, 50, 134, 26, 110)(15, 99, 32, 116, 38, 122, 58, 142, 70, 154, 83, 167, 76, 160, 62, 146, 47, 131, 29, 113, 41, 125, 19, 103, 39, 123, 31, 115)(25, 109, 40, 124, 57, 141, 46, 130, 60, 144, 45, 129, 33, 117, 44, 128, 59, 143, 72, 156, 84, 168, 75, 159, 64, 148, 48, 132)(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, 185)(7, 187)(8, 170)(9, 172)(10, 193)(11, 195)(12, 197)(13, 196)(14, 199)(15, 173)(16, 182)(17, 204)(18, 174)(19, 208)(20, 181)(21, 210)(22, 176)(23, 177)(24, 179)(25, 215)(26, 217)(27, 219)(28, 218)(29, 216)(30, 220)(31, 214)(32, 213)(33, 183)(34, 189)(35, 184)(36, 225)(37, 200)(38, 186)(39, 188)(40, 194)(41, 198)(42, 228)(43, 201)(44, 190)(45, 191)(46, 192)(47, 229)(48, 231)(49, 233)(50, 232)(51, 230)(52, 234)(53, 205)(54, 202)(55, 211)(56, 203)(57, 209)(58, 212)(59, 206)(60, 207)(61, 241)(62, 243)(63, 245)(64, 244)(65, 242)(66, 246)(67, 223)(68, 221)(69, 226)(70, 222)(71, 227)(72, 224)(73, 249)(74, 251)(75, 250)(76, 248)(77, 247)(78, 252)(79, 237)(80, 235)(81, 239)(82, 236)(83, 240)(84, 238)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4, 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 E18.993
Graph:: simple bipartite
	v = 90 e = 168 f = 44
	degree seq :: [ 2^84, 28^6 ]

E18.995 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 45})
Quotient :: regular
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1, T1 * T2 * T1^-7 * T2 * T1, T1^-2 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-2 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 57, 32, 52, 76, 88, 85, 61, 79, 80, 90, 83, 59, 34, 17, 29, 49, 74, 82, 58, 33, 16, 28, 48, 73, 87, 86, 81, 56, 78, 89, 84, 60, 35, 53, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 50, 26, 12, 25, 47, 75, 68, 41, 67, 44, 71, 64, 38, 20, 9, 19, 37, 63, 54, 30, 14, 6, 13, 27, 51, 77, 69, 46, 24, 45, 72, 66, 40, 21, 39, 65, 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, 65)(45, 73)(46, 74)(47, 76)(50, 70)(51, 78)(54, 79)(55, 80)(62, 86)(63, 81)(64, 85)(66, 84)(67, 82)(68, 83)(71, 87)(72, 88)(75, 89)(77, 90)
	local type(s) :: { ( 10^45 ) }
Outer automorphisms :: reflexible
Dual of E18.996
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 45 f = 9
	degree seq :: [ 45^2 ]

E18.996 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 45})
Quotient :: regular
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^10, T1^-3 * T2 * T1^-6 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 ]
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)
	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, 89)(80, 90)(81, 86)(82, 87)(83, 88)
	local type(s) :: { ( 45^10 ) }
Outer automorphisms :: reflexible
Dual of E18.995
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 9 e = 45 f = 2
	degree seq :: [ 10^9 ]

E18.997 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 45})
Quotient :: edge
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
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, 88, 84, 87, 83, 85, 82, 90, 81, 89)(91, 92)(93, 97)(94, 99)(95, 101)(96, 103)(98, 102)(100, 104)(105, 115)(106, 117)(107, 116)(108, 119)(109, 120)(110, 122)(111, 124)(112, 123)(113, 126)(114, 127)(118, 125)(121, 128)(129, 143)(130, 145)(131, 144)(132, 147)(133, 146)(134, 148)(135, 149)(136, 150)(137, 152)(138, 151)(139, 154)(140, 153)(141, 155)(142, 156)(157, 169)(158, 171)(159, 170)(160, 172)(161, 173)(162, 174)(163, 175)(164, 177)(165, 176)(166, 178)(167, 179)(168, 180)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^10 ) }
Outer automorphisms :: reflexible
Dual of E18.1001
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 90 f = 2
	degree seq :: [ 2^45, 10^9 ]

E18.998 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 45})
Quotient :: edge
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^2, T1^-2 * T2 * T1^-5 * T2 * T1^-1, (T2^4 * T1^-1)^2, T2^3 * T1 * T2^-1 * T1 * T2^5 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 68, 41, 30, 53, 62, 43, 72, 89, 86, 66, 38, 18, 6, 17, 36, 64, 85, 87, 67, 39, 20, 13, 28, 51, 73, 90, 88, 70, 55, 61, 34, 21, 42, 71, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 76, 46, 24, 11, 27, 52, 65, 58, 83, 78, 49, 63, 35, 16, 14, 31, 56, 81, 75, 45, 23, 9, 4, 12, 29, 54, 80, 77, 47, 26, 50, 60, 37, 32, 57, 82, 74, 44, 22, 8)(91, 92, 96, 106, 124, 150, 143, 117, 103, 94)(93, 99, 107, 98, 111, 125, 152, 140, 118, 101)(95, 104, 108, 127, 151, 142, 120, 102, 110, 97)(100, 114, 126, 113, 132, 112, 133, 153, 141, 116)(105, 122, 128, 155, 145, 119, 131, 109, 129, 121)(115, 137, 154, 136, 161, 135, 162, 134, 163, 139)(123, 148, 156, 144, 160, 130, 158, 146, 157, 147)(138, 168, 175, 167, 174, 166, 179, 165, 180, 164)(149, 170, 176, 159, 178, 171, 169, 172, 177, 173)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 4^10 ), ( 4^45 ) }
Outer automorphisms :: reflexible
Dual of E18.1002
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 90 f = 45
	degree seq :: [ 10^9, 45^2 ]

E18.999 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 45})
Quotient :: edge
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1, T1 * T2 * T1^-7 * T2 * T1, T1^-2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 65)(45, 73)(46, 74)(47, 76)(50, 70)(51, 78)(54, 79)(55, 80)(62, 86)(63, 81)(64, 85)(66, 84)(67, 82)(68, 83)(71, 87)(72, 88)(75, 89)(77, 90)(91, 92, 95, 101, 113, 133, 147, 122, 142, 166, 178, 175, 151, 169, 170, 180, 173, 149, 124, 107, 119, 139, 164, 172, 148, 123, 106, 118, 138, 163, 177, 176, 171, 146, 168, 179, 174, 150, 125, 143, 160, 132, 112, 100, 94)(93, 97, 105, 121, 145, 140, 116, 102, 115, 137, 165, 158, 131, 157, 134, 161, 154, 128, 110, 99, 109, 127, 153, 144, 120, 104, 96, 103, 117, 141, 167, 159, 136, 114, 135, 162, 156, 130, 111, 129, 155, 152, 126, 108, 98)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 20, 20 ), ( 20^45 ) }
Outer automorphisms :: reflexible
Dual of E18.1000
Transitivity :: ET+
Graph:: simple bipartite
	v = 47 e = 90 f = 9
	degree seq :: [ 2^45, 45^2 ]

E18.1000 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 45})
Quotient :: loop
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 ]
Map::
	R = (1, 91, 3, 93, 8, 98, 17, 107, 28, 118, 43, 133, 31, 121, 19, 109, 10, 100, 4, 94)(2, 92, 5, 95, 12, 102, 22, 112, 35, 125, 50, 140, 38, 128, 24, 114, 14, 104, 6, 96)(7, 97, 15, 105, 26, 116, 41, 131, 56, 146, 45, 135, 30, 120, 18, 108, 9, 99, 16, 106)(11, 101, 20, 110, 33, 123, 48, 138, 63, 153, 52, 142, 37, 127, 23, 113, 13, 103, 21, 111)(25, 115, 39, 129, 54, 144, 69, 159, 59, 149, 44, 134, 29, 119, 42, 132, 27, 117, 40, 130)(32, 122, 46, 136, 61, 151, 75, 165, 66, 156, 51, 141, 36, 126, 49, 139, 34, 124, 47, 137)(53, 143, 67, 157, 80, 170, 72, 162, 58, 148, 71, 161, 57, 147, 70, 160, 55, 145, 68, 158)(60, 150, 73, 163, 86, 176, 78, 168, 65, 155, 77, 167, 64, 154, 76, 166, 62, 152, 74, 164)(79, 169, 88, 178, 84, 174, 87, 177, 83, 173, 85, 175, 82, 172, 90, 180, 81, 171, 89, 179)
	L = (1, 92)(2, 91)(3, 97)(4, 99)(5, 101)(6, 103)(7, 93)(8, 102)(9, 94)(10, 104)(11, 95)(12, 98)(13, 96)(14, 100)(15, 115)(16, 117)(17, 116)(18, 119)(19, 120)(20, 122)(21, 124)(22, 123)(23, 126)(24, 127)(25, 105)(26, 107)(27, 106)(28, 125)(29, 108)(30, 109)(31, 128)(32, 110)(33, 112)(34, 111)(35, 118)(36, 113)(37, 114)(38, 121)(39, 143)(40, 145)(41, 144)(42, 147)(43, 146)(44, 148)(45, 149)(46, 150)(47, 152)(48, 151)(49, 154)(50, 153)(51, 155)(52, 156)(53, 129)(54, 131)(55, 130)(56, 133)(57, 132)(58, 134)(59, 135)(60, 136)(61, 138)(62, 137)(63, 140)(64, 139)(65, 141)(66, 142)(67, 169)(68, 171)(69, 170)(70, 172)(71, 173)(72, 174)(73, 175)(74, 177)(75, 176)(76, 178)(77, 179)(78, 180)(79, 157)(80, 159)(81, 158)(82, 160)(83, 161)(84, 162)(85, 163)(86, 165)(87, 164)(88, 166)(89, 167)(90, 168)
	local type(s) :: { ( 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45 ) }
Outer automorphisms :: reflexible
Dual of E18.999
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 90 f = 47
	degree seq :: [ 20^9 ]

E18.1001 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 45})
Quotient :: loop
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^2, T1^-2 * T2 * T1^-5 * T2 * T1^-1, (T2^4 * T1^-1)^2, T2^3 * T1 * T2^-1 * T1 * T2^5 ]
Map::
	R = (1, 91, 3, 93, 10, 100, 25, 115, 48, 138, 79, 169, 68, 158, 41, 131, 30, 120, 53, 143, 62, 152, 43, 133, 72, 162, 89, 179, 86, 176, 66, 156, 38, 128, 18, 108, 6, 96, 17, 107, 36, 126, 64, 154, 85, 175, 87, 177, 67, 157, 39, 129, 20, 110, 13, 103, 28, 118, 51, 141, 73, 163, 90, 180, 88, 178, 70, 160, 55, 145, 61, 151, 34, 124, 21, 111, 42, 132, 71, 161, 84, 174, 59, 149, 33, 123, 15, 105, 5, 95)(2, 92, 7, 97, 19, 109, 40, 130, 69, 159, 76, 166, 46, 136, 24, 114, 11, 101, 27, 117, 52, 142, 65, 155, 58, 148, 83, 173, 78, 168, 49, 139, 63, 153, 35, 125, 16, 106, 14, 104, 31, 121, 56, 146, 81, 171, 75, 165, 45, 135, 23, 113, 9, 99, 4, 94, 12, 102, 29, 119, 54, 144, 80, 170, 77, 167, 47, 137, 26, 116, 50, 140, 60, 150, 37, 127, 32, 122, 57, 147, 82, 172, 74, 164, 44, 134, 22, 112, 8, 98)
	L = (1, 92)(2, 96)(3, 99)(4, 91)(5, 104)(6, 106)(7, 95)(8, 111)(9, 107)(10, 114)(11, 93)(12, 110)(13, 94)(14, 108)(15, 122)(16, 124)(17, 98)(18, 127)(19, 129)(20, 97)(21, 125)(22, 133)(23, 132)(24, 126)(25, 137)(26, 100)(27, 103)(28, 101)(29, 131)(30, 102)(31, 105)(32, 128)(33, 148)(34, 150)(35, 152)(36, 113)(37, 151)(38, 155)(39, 121)(40, 158)(41, 109)(42, 112)(43, 153)(44, 163)(45, 162)(46, 161)(47, 154)(48, 168)(49, 115)(50, 118)(51, 116)(52, 120)(53, 117)(54, 160)(55, 119)(56, 157)(57, 123)(58, 156)(59, 170)(60, 143)(61, 142)(62, 140)(63, 141)(64, 136)(65, 145)(66, 144)(67, 147)(68, 146)(69, 178)(70, 130)(71, 135)(72, 134)(73, 139)(74, 138)(75, 180)(76, 179)(77, 174)(78, 175)(79, 172)(80, 176)(81, 169)(82, 177)(83, 149)(84, 166)(85, 167)(86, 159)(87, 173)(88, 171)(89, 165)(90, 164)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.997
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 90 f = 54
	degree seq :: [ 90^2 ]

E18.1002 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 45})
Quotient :: loop
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1, T1 * T2 * T1^-7 * T2 * T1, T1^-2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 91, 3, 93)(2, 92, 6, 96)(4, 94, 9, 99)(5, 95, 12, 102)(7, 97, 16, 106)(8, 98, 17, 107)(10, 100, 21, 111)(11, 101, 24, 114)(13, 103, 28, 118)(14, 104, 29, 119)(15, 105, 32, 122)(18, 108, 35, 125)(19, 109, 33, 123)(20, 110, 34, 124)(22, 112, 41, 131)(23, 113, 44, 134)(25, 115, 48, 138)(26, 116, 49, 139)(27, 117, 52, 142)(30, 120, 53, 143)(31, 121, 56, 146)(36, 126, 61, 151)(37, 127, 57, 147)(38, 128, 60, 150)(39, 129, 58, 148)(40, 130, 59, 149)(42, 132, 69, 159)(43, 133, 65, 155)(45, 135, 73, 163)(46, 136, 74, 164)(47, 137, 76, 166)(50, 140, 70, 160)(51, 141, 78, 168)(54, 144, 79, 169)(55, 145, 80, 170)(62, 152, 86, 176)(63, 153, 81, 171)(64, 154, 85, 175)(66, 156, 84, 174)(67, 157, 82, 172)(68, 158, 83, 173)(71, 161, 87, 177)(72, 162, 88, 178)(75, 165, 89, 179)(77, 167, 90, 180)
	L = (1, 92)(2, 95)(3, 97)(4, 91)(5, 101)(6, 103)(7, 105)(8, 93)(9, 109)(10, 94)(11, 113)(12, 115)(13, 117)(14, 96)(15, 121)(16, 118)(17, 119)(18, 98)(19, 127)(20, 99)(21, 129)(22, 100)(23, 133)(24, 135)(25, 137)(26, 102)(27, 141)(28, 138)(29, 139)(30, 104)(31, 145)(32, 142)(33, 106)(34, 107)(35, 143)(36, 108)(37, 153)(38, 110)(39, 155)(40, 111)(41, 157)(42, 112)(43, 147)(44, 161)(45, 162)(46, 114)(47, 165)(48, 163)(49, 164)(50, 116)(51, 167)(52, 166)(53, 160)(54, 120)(55, 140)(56, 168)(57, 122)(58, 123)(59, 124)(60, 125)(61, 169)(62, 126)(63, 144)(64, 128)(65, 152)(66, 130)(67, 134)(68, 131)(69, 136)(70, 132)(71, 154)(72, 156)(73, 177)(74, 172)(75, 158)(76, 178)(77, 159)(78, 179)(79, 170)(80, 180)(81, 146)(82, 148)(83, 149)(84, 150)(85, 151)(86, 171)(87, 176)(88, 175)(89, 174)(90, 173)
	local type(s) :: { ( 10, 45, 10, 45 ) }
Outer automorphisms :: reflexible
Dual of E18.998
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 45 e = 90 f = 11
	degree seq :: [ 4^45 ]

E18.1003 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^10, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^45 ]
Map::
	R = (1, 91, 2, 92)(3, 93, 7, 97)(4, 94, 9, 99)(5, 95, 11, 101)(6, 96, 13, 103)(8, 98, 12, 102)(10, 100, 14, 104)(15, 105, 25, 115)(16, 106, 27, 117)(17, 107, 26, 116)(18, 108, 29, 119)(19, 109, 30, 120)(20, 110, 32, 122)(21, 111, 34, 124)(22, 112, 33, 123)(23, 113, 36, 126)(24, 114, 37, 127)(28, 118, 35, 125)(31, 121, 38, 128)(39, 129, 53, 143)(40, 130, 55, 145)(41, 131, 54, 144)(42, 132, 57, 147)(43, 133, 56, 146)(44, 134, 58, 148)(45, 135, 59, 149)(46, 136, 60, 150)(47, 137, 62, 152)(48, 138, 61, 151)(49, 139, 64, 154)(50, 140, 63, 153)(51, 141, 65, 155)(52, 142, 66, 156)(67, 157, 79, 169)(68, 158, 81, 171)(69, 159, 80, 170)(70, 160, 82, 172)(71, 161, 83, 173)(72, 162, 84, 174)(73, 163, 85, 175)(74, 164, 87, 177)(75, 165, 86, 176)(76, 166, 88, 178)(77, 167, 89, 179)(78, 168, 90, 180)(181, 271, 183, 273, 188, 278, 197, 287, 208, 298, 223, 313, 211, 301, 199, 289, 190, 280, 184, 274)(182, 272, 185, 275, 192, 282, 202, 292, 215, 305, 230, 320, 218, 308, 204, 294, 194, 284, 186, 276)(187, 277, 195, 285, 206, 296, 221, 311, 236, 326, 225, 315, 210, 300, 198, 288, 189, 279, 196, 286)(191, 281, 200, 290, 213, 303, 228, 318, 243, 333, 232, 322, 217, 307, 203, 293, 193, 283, 201, 291)(205, 295, 219, 309, 234, 324, 249, 339, 239, 329, 224, 314, 209, 299, 222, 312, 207, 297, 220, 310)(212, 302, 226, 316, 241, 331, 255, 345, 246, 336, 231, 321, 216, 306, 229, 319, 214, 304, 227, 317)(233, 323, 247, 337, 260, 350, 252, 342, 238, 328, 251, 341, 237, 327, 250, 340, 235, 325, 248, 338)(240, 330, 253, 343, 266, 356, 258, 348, 245, 335, 257, 347, 244, 334, 256, 346, 242, 332, 254, 344)(259, 349, 268, 358, 264, 354, 267, 357, 263, 353, 265, 355, 262, 352, 270, 360, 261, 351, 269, 359)
	L = (1, 182)(2, 181)(3, 187)(4, 189)(5, 191)(6, 193)(7, 183)(8, 192)(9, 184)(10, 194)(11, 185)(12, 188)(13, 186)(14, 190)(15, 205)(16, 207)(17, 206)(18, 209)(19, 210)(20, 212)(21, 214)(22, 213)(23, 216)(24, 217)(25, 195)(26, 197)(27, 196)(28, 215)(29, 198)(30, 199)(31, 218)(32, 200)(33, 202)(34, 201)(35, 208)(36, 203)(37, 204)(38, 211)(39, 233)(40, 235)(41, 234)(42, 237)(43, 236)(44, 238)(45, 239)(46, 240)(47, 242)(48, 241)(49, 244)(50, 243)(51, 245)(52, 246)(53, 219)(54, 221)(55, 220)(56, 223)(57, 222)(58, 224)(59, 225)(60, 226)(61, 228)(62, 227)(63, 230)(64, 229)(65, 231)(66, 232)(67, 259)(68, 261)(69, 260)(70, 262)(71, 263)(72, 264)(73, 265)(74, 267)(75, 266)(76, 268)(77, 269)(78, 270)(79, 247)(80, 249)(81, 248)(82, 250)(83, 251)(84, 252)(85, 253)(86, 255)(87, 254)(88, 256)(89, 257)(90, 258)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.1006
Graph:: bipartite
	v = 54 e = 180 f = 92
	degree seq :: [ 4^45, 20^9 ]

E18.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-3 * Y2^-1 * Y1 * Y2^-1, Y1^2 * Y2 * Y1^-1 * Y2 * Y1, Y2^3 * Y1^-3 * Y2^3 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1^-3 * Y2 * Y1 * Y2^-1 * Y1, Y1^-1 * Y2^-8 * Y1^-1 * Y2 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 34, 124, 60, 150, 53, 143, 27, 117, 13, 103, 4, 94)(3, 93, 9, 99, 17, 107, 8, 98, 21, 111, 35, 125, 62, 152, 50, 140, 28, 118, 11, 101)(5, 95, 14, 104, 18, 108, 37, 127, 61, 151, 52, 142, 30, 120, 12, 102, 20, 110, 7, 97)(10, 100, 24, 114, 36, 126, 23, 113, 42, 132, 22, 112, 43, 133, 63, 153, 51, 141, 26, 116)(15, 105, 32, 122, 38, 128, 65, 155, 55, 145, 29, 119, 41, 131, 19, 109, 39, 129, 31, 121)(25, 115, 47, 137, 64, 154, 46, 136, 71, 161, 45, 135, 72, 162, 44, 134, 73, 163, 49, 139)(33, 123, 58, 148, 66, 156, 54, 144, 70, 160, 40, 130, 68, 158, 56, 146, 67, 157, 57, 147)(48, 138, 78, 168, 85, 175, 77, 167, 84, 174, 76, 166, 89, 179, 75, 165, 90, 180, 74, 164)(59, 149, 80, 170, 86, 176, 69, 159, 88, 178, 81, 171, 79, 169, 82, 172, 87, 177, 83, 173)(181, 271, 183, 273, 190, 280, 205, 295, 228, 318, 259, 349, 248, 338, 221, 311, 210, 300, 233, 323, 242, 332, 223, 313, 252, 342, 269, 359, 266, 356, 246, 336, 218, 308, 198, 288, 186, 276, 197, 287, 216, 306, 244, 334, 265, 355, 267, 357, 247, 337, 219, 309, 200, 290, 193, 283, 208, 298, 231, 321, 253, 343, 270, 360, 268, 358, 250, 340, 235, 325, 241, 331, 214, 304, 201, 291, 222, 312, 251, 341, 264, 354, 239, 329, 213, 303, 195, 285, 185, 275)(182, 272, 187, 277, 199, 289, 220, 310, 249, 339, 256, 346, 226, 316, 204, 294, 191, 281, 207, 297, 232, 322, 245, 335, 238, 328, 263, 353, 258, 348, 229, 319, 243, 333, 215, 305, 196, 286, 194, 284, 211, 301, 236, 326, 261, 351, 255, 345, 225, 315, 203, 293, 189, 279, 184, 274, 192, 282, 209, 299, 234, 324, 260, 350, 257, 347, 227, 317, 206, 296, 230, 320, 240, 330, 217, 307, 212, 302, 237, 327, 262, 352, 254, 344, 224, 314, 202, 292, 188, 278)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 197)(7, 199)(8, 182)(9, 184)(10, 205)(11, 207)(12, 209)(13, 208)(14, 211)(15, 185)(16, 194)(17, 216)(18, 186)(19, 220)(20, 193)(21, 222)(22, 188)(23, 189)(24, 191)(25, 228)(26, 230)(27, 232)(28, 231)(29, 234)(30, 233)(31, 236)(32, 237)(33, 195)(34, 201)(35, 196)(36, 244)(37, 212)(38, 198)(39, 200)(40, 249)(41, 210)(42, 251)(43, 252)(44, 202)(45, 203)(46, 204)(47, 206)(48, 259)(49, 243)(50, 240)(51, 253)(52, 245)(53, 242)(54, 260)(55, 241)(56, 261)(57, 262)(58, 263)(59, 213)(60, 217)(61, 214)(62, 223)(63, 215)(64, 265)(65, 238)(66, 218)(67, 219)(68, 221)(69, 256)(70, 235)(71, 264)(72, 269)(73, 270)(74, 224)(75, 225)(76, 226)(77, 227)(78, 229)(79, 248)(80, 257)(81, 255)(82, 254)(83, 258)(84, 239)(85, 267)(86, 246)(87, 247)(88, 250)(89, 266)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.1005
Graph:: bipartite
	v = 11 e = 180 f = 135
	degree seq :: [ 20^9, 90^2 ]

E18.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|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, Y3^3 * Y2 * Y3^-2 * Y2 * Y3^4, Y3^2 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^45 ]
Map:: polytopal
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272)(183, 273, 187, 277)(184, 274, 189, 279)(185, 275, 191, 281)(186, 276, 193, 283)(188, 278, 197, 287)(190, 280, 201, 291)(192, 282, 205, 295)(194, 284, 209, 299)(195, 285, 203, 293)(196, 286, 207, 297)(198, 288, 215, 305)(199, 289, 204, 294)(200, 290, 208, 298)(202, 292, 221, 311)(206, 296, 227, 317)(210, 300, 233, 323)(211, 301, 225, 315)(212, 302, 231, 321)(213, 303, 223, 313)(214, 304, 229, 319)(216, 306, 241, 331)(217, 307, 226, 316)(218, 308, 232, 322)(219, 309, 224, 314)(220, 310, 230, 320)(222, 312, 249, 339)(228, 318, 256, 346)(234, 324, 262, 352)(235, 325, 254, 344)(236, 326, 260, 350)(237, 327, 253, 343)(238, 328, 250, 340)(239, 329, 251, 341)(240, 330, 257, 347)(242, 332, 245, 335)(243, 333, 255, 345)(244, 334, 261, 351)(246, 336, 259, 349)(247, 337, 252, 342)(248, 338, 258, 348)(263, 353, 270, 360)(264, 354, 269, 359)(265, 355, 268, 358)(266, 356, 267, 357)
	L = (1, 183)(2, 185)(3, 188)(4, 181)(5, 192)(6, 182)(7, 195)(8, 198)(9, 199)(10, 184)(11, 203)(12, 206)(13, 207)(14, 186)(15, 211)(16, 187)(17, 213)(18, 216)(19, 217)(20, 189)(21, 219)(22, 190)(23, 223)(24, 191)(25, 225)(26, 228)(27, 229)(28, 193)(29, 231)(30, 194)(31, 235)(32, 196)(33, 237)(34, 197)(35, 239)(36, 242)(37, 243)(38, 200)(39, 245)(40, 201)(41, 247)(42, 202)(43, 251)(44, 204)(45, 253)(46, 205)(47, 254)(48, 238)(49, 257)(50, 208)(51, 250)(52, 209)(53, 260)(54, 210)(55, 263)(56, 212)(57, 264)(58, 214)(59, 265)(60, 215)(61, 266)(62, 226)(63, 236)(64, 218)(65, 234)(66, 220)(67, 241)(68, 221)(69, 240)(70, 222)(71, 267)(72, 224)(73, 268)(74, 269)(75, 227)(76, 270)(77, 252)(78, 230)(79, 232)(80, 256)(81, 233)(82, 255)(83, 249)(84, 248)(85, 246)(86, 244)(87, 262)(88, 261)(89, 259)(90, 258)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 20, 90 ), ( 20, 90, 20, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.1004
Graph:: simple bipartite
	v = 135 e = 180 f = 11
	degree seq :: [ 2^90, 4^45 ]

E18.1006 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^-2 * Y3 * Y1^5, Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-1 ]
Map::
	R = (1, 91, 2, 92, 5, 95, 11, 101, 23, 113, 43, 133, 57, 147, 32, 122, 52, 142, 76, 166, 88, 178, 85, 175, 61, 151, 79, 169, 80, 170, 90, 180, 83, 173, 59, 149, 34, 124, 17, 107, 29, 119, 49, 139, 74, 164, 82, 172, 58, 148, 33, 123, 16, 106, 28, 118, 48, 138, 73, 163, 87, 177, 86, 176, 81, 171, 56, 146, 78, 168, 89, 179, 84, 174, 60, 150, 35, 125, 53, 143, 70, 160, 42, 132, 22, 112, 10, 100, 4, 94)(3, 93, 7, 97, 15, 105, 31, 121, 55, 145, 50, 140, 26, 116, 12, 102, 25, 115, 47, 137, 75, 165, 68, 158, 41, 131, 67, 157, 44, 134, 71, 161, 64, 154, 38, 128, 20, 110, 9, 99, 19, 109, 37, 127, 63, 153, 54, 144, 30, 120, 14, 104, 6, 96, 13, 103, 27, 117, 51, 141, 77, 167, 69, 159, 46, 136, 24, 114, 45, 135, 72, 162, 66, 156, 40, 130, 21, 111, 39, 129, 65, 155, 62, 152, 36, 126, 18, 108, 8, 98)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 186)(3, 181)(4, 189)(5, 192)(6, 182)(7, 196)(8, 197)(9, 184)(10, 201)(11, 204)(12, 185)(13, 208)(14, 209)(15, 212)(16, 187)(17, 188)(18, 215)(19, 213)(20, 214)(21, 190)(22, 221)(23, 224)(24, 191)(25, 228)(26, 229)(27, 232)(28, 193)(29, 194)(30, 233)(31, 236)(32, 195)(33, 199)(34, 200)(35, 198)(36, 241)(37, 237)(38, 240)(39, 238)(40, 239)(41, 202)(42, 249)(43, 245)(44, 203)(45, 253)(46, 254)(47, 256)(48, 205)(49, 206)(50, 250)(51, 258)(52, 207)(53, 210)(54, 259)(55, 260)(56, 211)(57, 217)(58, 219)(59, 220)(60, 218)(61, 216)(62, 266)(63, 261)(64, 265)(65, 223)(66, 264)(67, 262)(68, 263)(69, 222)(70, 230)(71, 267)(72, 268)(73, 225)(74, 226)(75, 269)(76, 227)(77, 270)(78, 231)(79, 234)(80, 235)(81, 243)(82, 247)(83, 248)(84, 246)(85, 244)(86, 242)(87, 251)(88, 252)(89, 255)(90, 257)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 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 E18.1003
Graph:: simple bipartite
	v = 92 e = 180 f = 54
	degree seq :: [ 2^90, 90^2 ]

E18.1007 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * R * Y2)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-7 * Y1 * Y2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 91, 2, 92)(3, 93, 7, 97)(4, 94, 9, 99)(5, 95, 11, 101)(6, 96, 13, 103)(8, 98, 17, 107)(10, 100, 21, 111)(12, 102, 25, 115)(14, 104, 29, 119)(15, 105, 23, 113)(16, 106, 27, 117)(18, 108, 35, 125)(19, 109, 24, 114)(20, 110, 28, 118)(22, 112, 41, 131)(26, 116, 47, 137)(30, 120, 53, 143)(31, 121, 45, 135)(32, 122, 51, 141)(33, 123, 43, 133)(34, 124, 49, 139)(36, 126, 61, 151)(37, 127, 46, 136)(38, 128, 52, 142)(39, 129, 44, 134)(40, 130, 50, 140)(42, 132, 69, 159)(48, 138, 76, 166)(54, 144, 82, 172)(55, 145, 74, 164)(56, 146, 80, 170)(57, 147, 73, 163)(58, 148, 70, 160)(59, 149, 71, 161)(60, 150, 77, 167)(62, 152, 65, 155)(63, 153, 75, 165)(64, 154, 81, 171)(66, 156, 79, 169)(67, 157, 72, 162)(68, 158, 78, 168)(83, 173, 90, 180)(84, 174, 89, 179)(85, 175, 88, 178)(86, 176, 87, 177)(181, 271, 183, 273, 188, 278, 198, 288, 216, 306, 242, 332, 226, 316, 205, 295, 225, 315, 253, 343, 268, 358, 261, 351, 233, 323, 260, 350, 256, 346, 270, 360, 258, 348, 230, 320, 208, 298, 193, 283, 207, 297, 229, 319, 257, 347, 252, 342, 224, 314, 204, 294, 191, 281, 203, 293, 223, 313, 251, 341, 267, 357, 262, 352, 255, 345, 227, 317, 254, 344, 269, 359, 259, 349, 232, 322, 209, 299, 231, 321, 250, 340, 222, 312, 202, 292, 190, 280, 184, 274)(182, 272, 185, 275, 192, 282, 206, 296, 228, 318, 238, 328, 214, 304, 197, 287, 213, 303, 237, 327, 264, 354, 248, 338, 221, 311, 247, 337, 241, 331, 266, 356, 244, 334, 218, 308, 200, 290, 189, 279, 199, 289, 217, 307, 243, 333, 236, 326, 212, 302, 196, 286, 187, 277, 195, 285, 211, 301, 235, 325, 263, 353, 249, 339, 240, 330, 215, 305, 239, 329, 265, 355, 246, 336, 220, 310, 201, 291, 219, 309, 245, 335, 234, 324, 210, 300, 194, 284, 186, 276)
	L = (1, 182)(2, 181)(3, 187)(4, 189)(5, 191)(6, 193)(7, 183)(8, 197)(9, 184)(10, 201)(11, 185)(12, 205)(13, 186)(14, 209)(15, 203)(16, 207)(17, 188)(18, 215)(19, 204)(20, 208)(21, 190)(22, 221)(23, 195)(24, 199)(25, 192)(26, 227)(27, 196)(28, 200)(29, 194)(30, 233)(31, 225)(32, 231)(33, 223)(34, 229)(35, 198)(36, 241)(37, 226)(38, 232)(39, 224)(40, 230)(41, 202)(42, 249)(43, 213)(44, 219)(45, 211)(46, 217)(47, 206)(48, 256)(49, 214)(50, 220)(51, 212)(52, 218)(53, 210)(54, 262)(55, 254)(56, 260)(57, 253)(58, 250)(59, 251)(60, 257)(61, 216)(62, 245)(63, 255)(64, 261)(65, 242)(66, 259)(67, 252)(68, 258)(69, 222)(70, 238)(71, 239)(72, 247)(73, 237)(74, 235)(75, 243)(76, 228)(77, 240)(78, 248)(79, 246)(80, 236)(81, 244)(82, 234)(83, 270)(84, 269)(85, 268)(86, 267)(87, 266)(88, 265)(89, 264)(90, 263)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 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 E18.1008
Graph:: bipartite
	v = 47 e = 180 f = 99
	degree seq :: [ 4^45, 90^2 ]

E18.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 45})
Quotient :: dipole
Aut^+ = C5 x D18 (small group id <90, 1>)
Aut   = D10 x D18 (small group id <180, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-3 * Y3^-1 * Y1, Y1^-3 * Y3^2 * Y1^-1 * Y3^2 * Y1^-2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-6, (Y3 * Y2^-1)^45 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 16, 106, 34, 124, 60, 150, 53, 143, 27, 117, 13, 103, 4, 94)(3, 93, 9, 99, 17, 107, 8, 98, 21, 111, 35, 125, 62, 152, 50, 140, 28, 118, 11, 101)(5, 95, 14, 104, 18, 108, 37, 127, 61, 151, 52, 142, 30, 120, 12, 102, 20, 110, 7, 97)(10, 100, 24, 114, 36, 126, 23, 113, 42, 132, 22, 112, 43, 133, 63, 153, 51, 141, 26, 116)(15, 105, 32, 122, 38, 128, 65, 155, 55, 145, 29, 119, 41, 131, 19, 109, 39, 129, 31, 121)(25, 115, 47, 137, 64, 154, 46, 136, 71, 161, 45, 135, 72, 162, 44, 134, 73, 163, 49, 139)(33, 123, 58, 148, 66, 156, 54, 144, 70, 160, 40, 130, 68, 158, 56, 146, 67, 157, 57, 147)(48, 138, 78, 168, 85, 175, 77, 167, 84, 174, 76, 166, 89, 179, 75, 165, 90, 180, 74, 164)(59, 149, 80, 170, 86, 176, 69, 159, 88, 178, 81, 171, 79, 169, 82, 172, 87, 177, 83, 173)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 187)(3, 190)(4, 192)(5, 181)(6, 197)(7, 199)(8, 182)(9, 184)(10, 205)(11, 207)(12, 209)(13, 208)(14, 211)(15, 185)(16, 194)(17, 216)(18, 186)(19, 220)(20, 193)(21, 222)(22, 188)(23, 189)(24, 191)(25, 228)(26, 230)(27, 232)(28, 231)(29, 234)(30, 233)(31, 236)(32, 237)(33, 195)(34, 201)(35, 196)(36, 244)(37, 212)(38, 198)(39, 200)(40, 249)(41, 210)(42, 251)(43, 252)(44, 202)(45, 203)(46, 204)(47, 206)(48, 259)(49, 243)(50, 240)(51, 253)(52, 245)(53, 242)(54, 260)(55, 241)(56, 261)(57, 262)(58, 263)(59, 213)(60, 217)(61, 214)(62, 223)(63, 215)(64, 265)(65, 238)(66, 218)(67, 219)(68, 221)(69, 256)(70, 235)(71, 264)(72, 269)(73, 270)(74, 224)(75, 225)(76, 226)(77, 227)(78, 229)(79, 248)(80, 257)(81, 255)(82, 254)(83, 258)(84, 239)(85, 267)(86, 246)(87, 247)(88, 250)(89, 266)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 90 ), ( 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90 ) }
Outer automorphisms :: reflexible
Dual of E18.1007
Graph:: simple bipartite
	v = 99 e = 180 f = 47
	degree seq :: [ 2^90, 20^9 ]

E18.1009 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 16})
Quotient :: regular
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^16, (T1 * T2)^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 82, 81, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 89, 93, 84, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 80, 92, 94, 83, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 86, 95, 87, 96, 88, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 85, 77, 90, 78, 91, 79, 62, 45, 30, 37)(41, 57, 42, 59, 74, 54, 72, 52, 71, 53, 73, 63, 70, 60, 43, 58)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 74)(57, 77)(58, 78)(59, 69)(60, 79)(64, 75)(65, 83)(67, 85)(71, 87)(72, 88)(73, 86)(80, 91)(81, 92)(82, 93)(84, 95)(89, 96)(90, 94)
	local type(s) :: { ( 12^16 ) }
Outer automorphisms :: reflexible
Dual of E18.1010
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 48 f = 8
	degree seq :: [ 16^6 ]

E18.1010 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 16})
Quotient :: regular
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^12, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 64, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 65, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 66, 82, 73, 56, 40, 27)(23, 36, 24, 38, 50, 67, 81, 79, 62, 45, 30, 37)(41, 57, 42, 59, 74, 89, 93, 84, 68, 60, 43, 58)(52, 69, 53, 71, 63, 80, 92, 94, 83, 72, 54, 70)(75, 90, 76, 91, 78, 87, 95, 85, 96, 86, 77, 88)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 64)(49, 66)(51, 68)(55, 73)(56, 74)(57, 75)(58, 76)(59, 77)(60, 78)(65, 81)(67, 83)(69, 85)(70, 86)(71, 87)(72, 88)(79, 92)(80, 91)(82, 93)(84, 95)(89, 96)(90, 94)
	local type(s) :: { ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E18.1009
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 6
	degree seq :: [ 12^8 ]

E18.1011 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 16})
Quotient :: edge
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, (T2 * T1)^16 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 69, 54, 38, 24, 14, 6)(7, 15, 9, 18, 30, 45, 63, 78, 59, 42, 27, 16)(11, 20, 13, 23, 37, 53, 72, 86, 68, 50, 34, 21)(25, 39, 26, 41, 58, 77, 91, 80, 62, 44, 29, 40)(32, 47, 33, 49, 67, 85, 95, 88, 71, 52, 36, 48)(55, 73, 56, 75, 61, 79, 92, 93, 90, 76, 57, 74)(64, 81, 65, 83, 70, 87, 96, 89, 94, 84, 66, 82)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 121)(112, 122)(113, 123)(114, 125)(115, 126)(116, 128)(117, 129)(118, 130)(119, 132)(120, 133)(124, 134)(127, 131)(135, 151)(136, 152)(137, 153)(138, 154)(139, 155)(140, 157)(141, 158)(142, 159)(143, 160)(144, 161)(145, 162)(146, 163)(147, 164)(148, 166)(149, 167)(150, 168)(156, 165)(169, 185)(170, 180)(171, 183)(172, 178)(173, 186)(174, 187)(175, 179)(176, 188)(177, 189)(181, 190)(182, 191)(184, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 32, 32 ), ( 32^12 ) }
Outer automorphisms :: reflexible
Dual of E18.1015
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 6
	degree seq :: [ 2^48, 12^8 ]

E18.1012 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 16})
Quotient :: edge
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^4 * T2^2, T1^12, T1^-1 * T2^-1 * T1^4 * T2^-7 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 55, 78, 86, 62, 85, 84, 61, 41, 25, 13, 5)(2, 7, 17, 31, 49, 71, 95, 73, 60, 79, 96, 72, 50, 32, 18, 8)(4, 11, 23, 39, 59, 83, 88, 64, 42, 63, 87, 77, 54, 35, 20, 9)(6, 15, 29, 47, 69, 93, 80, 56, 40, 51, 74, 94, 70, 48, 30, 16)(12, 19, 34, 53, 76, 90, 66, 44, 26, 43, 65, 89, 82, 58, 38, 22)(14, 27, 45, 67, 91, 75, 52, 33, 24, 37, 57, 81, 92, 68, 46, 28)(97, 98, 102, 110, 122, 138, 158, 156, 136, 120, 108, 100)(99, 105, 115, 129, 147, 169, 181, 160, 139, 124, 111, 104)(101, 107, 118, 133, 152, 175, 182, 159, 140, 123, 112, 103)(106, 114, 125, 142, 161, 184, 180, 191, 170, 148, 130, 116)(109, 113, 126, 141, 162, 183, 174, 192, 176, 153, 134, 119)(117, 131, 149, 171, 190, 167, 157, 179, 185, 164, 143, 128)(121, 135, 154, 177, 189, 168, 151, 173, 186, 163, 144, 127)(132, 146, 165, 188, 178, 155, 137, 145, 166, 187, 172, 150)
	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) :: { ( 4^12 ), ( 4^16 ) }
Outer automorphisms :: reflexible
Dual of E18.1016
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 96 f = 48
	degree seq :: [ 12^8, 16^6 ]

E18.1013 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 16})
Quotient :: edge
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^16, (T2 * T1)^12 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 74)(57, 77)(58, 78)(59, 69)(60, 79)(64, 75)(65, 83)(67, 85)(71, 87)(72, 88)(73, 86)(80, 91)(81, 92)(82, 93)(84, 95)(89, 96)(90, 94)(97, 98, 101, 107, 116, 128, 143, 161, 178, 177, 160, 142, 127, 115, 106, 100)(99, 103, 111, 121, 135, 151, 171, 185, 189, 180, 162, 145, 129, 118, 108, 104)(102, 109, 105, 114, 125, 140, 157, 176, 188, 190, 179, 163, 144, 130, 117, 110)(112, 122, 113, 124, 131, 147, 164, 182, 191, 183, 192, 184, 172, 152, 136, 123)(119, 132, 120, 134, 146, 165, 181, 173, 186, 174, 187, 175, 158, 141, 126, 133)(137, 153, 138, 155, 170, 150, 168, 148, 167, 149, 169, 159, 166, 156, 139, 154)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^16 ) }
Outer automorphisms :: reflexible
Dual of E18.1014
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 96 f = 8
	degree seq :: [ 2^48, 16^6 ]

E18.1014 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 16})
Quotient :: loop
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^12, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1, (T2 * T1)^16 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 28, 124, 43, 139, 60, 156, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 35, 131, 51, 147, 69, 165, 54, 150, 38, 134, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 9, 105, 18, 114, 30, 126, 45, 141, 63, 159, 78, 174, 59, 155, 42, 138, 27, 123, 16, 112)(11, 107, 20, 116, 13, 109, 23, 119, 37, 133, 53, 149, 72, 168, 86, 182, 68, 164, 50, 146, 34, 130, 21, 117)(25, 121, 39, 135, 26, 122, 41, 137, 58, 154, 77, 173, 91, 187, 80, 176, 62, 158, 44, 140, 29, 125, 40, 136)(32, 128, 47, 143, 33, 129, 49, 145, 67, 163, 85, 181, 95, 191, 88, 184, 71, 167, 52, 148, 36, 132, 48, 144)(55, 151, 73, 169, 56, 152, 75, 171, 61, 157, 79, 175, 92, 188, 93, 189, 90, 186, 76, 172, 57, 153, 74, 170)(64, 160, 81, 177, 65, 161, 83, 179, 70, 166, 87, 183, 96, 192, 89, 185, 94, 190, 84, 180, 66, 162, 82, 178)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 110)(9, 100)(10, 108)(11, 101)(12, 106)(13, 102)(14, 104)(15, 121)(16, 122)(17, 123)(18, 125)(19, 126)(20, 128)(21, 129)(22, 130)(23, 132)(24, 133)(25, 111)(26, 112)(27, 113)(28, 134)(29, 114)(30, 115)(31, 131)(32, 116)(33, 117)(34, 118)(35, 127)(36, 119)(37, 120)(38, 124)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 157)(45, 158)(46, 159)(47, 160)(48, 161)(49, 162)(50, 163)(51, 164)(52, 166)(53, 167)(54, 168)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 165)(61, 140)(62, 141)(63, 142)(64, 143)(65, 144)(66, 145)(67, 146)(68, 147)(69, 156)(70, 148)(71, 149)(72, 150)(73, 185)(74, 180)(75, 183)(76, 178)(77, 186)(78, 187)(79, 179)(80, 188)(81, 189)(82, 172)(83, 175)(84, 170)(85, 190)(86, 191)(87, 171)(88, 192)(89, 169)(90, 173)(91, 174)(92, 176)(93, 177)(94, 181)(95, 182)(96, 184)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1013
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 54
	degree seq :: [ 24^8 ]

E18.1015 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 16})
Quotient :: loop
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^-2 * T2^-1 * T1^2 * T2^-1 * T1^4 * T2^2, T1^12, T1^-1 * T2^-1 * T1^4 * T2^-7 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 21, 117, 36, 132, 55, 151, 78, 174, 86, 182, 62, 158, 85, 181, 84, 180, 61, 157, 41, 137, 25, 121, 13, 109, 5, 101)(2, 98, 7, 103, 17, 113, 31, 127, 49, 145, 71, 167, 95, 191, 73, 169, 60, 156, 79, 175, 96, 192, 72, 168, 50, 146, 32, 128, 18, 114, 8, 104)(4, 100, 11, 107, 23, 119, 39, 135, 59, 155, 83, 179, 88, 184, 64, 160, 42, 138, 63, 159, 87, 183, 77, 173, 54, 150, 35, 131, 20, 116, 9, 105)(6, 102, 15, 111, 29, 125, 47, 143, 69, 165, 93, 189, 80, 176, 56, 152, 40, 136, 51, 147, 74, 170, 94, 190, 70, 166, 48, 144, 30, 126, 16, 112)(12, 108, 19, 115, 34, 130, 53, 149, 76, 172, 90, 186, 66, 162, 44, 140, 26, 122, 43, 139, 65, 161, 89, 185, 82, 178, 58, 154, 38, 134, 22, 118)(14, 110, 27, 123, 45, 141, 67, 163, 91, 187, 75, 171, 52, 148, 33, 129, 24, 120, 37, 133, 57, 153, 81, 177, 92, 188, 68, 164, 46, 142, 28, 124)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 110)(7, 101)(8, 99)(9, 115)(10, 114)(11, 118)(12, 100)(13, 113)(14, 122)(15, 104)(16, 103)(17, 126)(18, 125)(19, 129)(20, 106)(21, 131)(22, 133)(23, 109)(24, 108)(25, 135)(26, 138)(27, 112)(28, 111)(29, 142)(30, 141)(31, 121)(32, 117)(33, 147)(34, 116)(35, 149)(36, 146)(37, 152)(38, 119)(39, 154)(40, 120)(41, 145)(42, 158)(43, 124)(44, 123)(45, 162)(46, 161)(47, 128)(48, 127)(49, 166)(50, 165)(51, 169)(52, 130)(53, 171)(54, 132)(55, 173)(56, 175)(57, 134)(58, 177)(59, 137)(60, 136)(61, 179)(62, 156)(63, 140)(64, 139)(65, 184)(66, 183)(67, 144)(68, 143)(69, 188)(70, 187)(71, 157)(72, 151)(73, 181)(74, 148)(75, 190)(76, 150)(77, 186)(78, 192)(79, 182)(80, 153)(81, 189)(82, 155)(83, 185)(84, 191)(85, 160)(86, 159)(87, 174)(88, 180)(89, 164)(90, 163)(91, 172)(92, 178)(93, 168)(94, 167)(95, 170)(96, 176)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E18.1011
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 96 f = 56
	degree seq :: [ 32^6 ]

E18.1016 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 16})
Quotient :: loop
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^16, (T2 * T1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 15, 111)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(18, 114, 30, 126)(19, 115, 29, 125)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(26, 122, 41, 137)(27, 123, 42, 138)(28, 124, 43, 139)(31, 127, 39, 135)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(44, 140, 62, 158)(45, 141, 63, 159)(46, 142, 61, 157)(47, 143, 66, 162)(49, 145, 68, 164)(51, 147, 70, 166)(55, 151, 76, 172)(56, 152, 74, 170)(57, 153, 77, 173)(58, 154, 78, 174)(59, 155, 69, 165)(60, 156, 79, 175)(64, 160, 75, 171)(65, 161, 83, 179)(67, 163, 85, 181)(71, 167, 87, 183)(72, 168, 88, 184)(73, 169, 86, 182)(80, 176, 91, 187)(81, 177, 92, 188)(82, 178, 93, 189)(84, 180, 95, 191)(89, 185, 96, 192)(90, 186, 94, 190)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 114)(10, 100)(11, 116)(12, 104)(13, 105)(14, 102)(15, 121)(16, 122)(17, 124)(18, 125)(19, 106)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 135)(26, 113)(27, 112)(28, 131)(29, 140)(30, 133)(31, 115)(32, 143)(33, 118)(34, 117)(35, 147)(36, 120)(37, 119)(38, 146)(39, 151)(40, 123)(41, 153)(42, 155)(43, 154)(44, 157)(45, 126)(46, 127)(47, 161)(48, 130)(49, 129)(50, 165)(51, 164)(52, 167)(53, 169)(54, 168)(55, 171)(56, 136)(57, 138)(58, 137)(59, 170)(60, 139)(61, 176)(62, 141)(63, 166)(64, 142)(65, 178)(66, 145)(67, 144)(68, 182)(69, 181)(70, 156)(71, 149)(72, 148)(73, 159)(74, 150)(75, 185)(76, 152)(77, 186)(78, 187)(79, 158)(80, 188)(81, 160)(82, 177)(83, 163)(84, 162)(85, 173)(86, 191)(87, 192)(88, 172)(89, 189)(90, 174)(91, 175)(92, 190)(93, 180)(94, 179)(95, 183)(96, 184)
	local type(s) :: { ( 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E18.1012
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 14
	degree seq :: [ 4^48 ]

E18.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^12, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 14, 110)(10, 106, 12, 108)(15, 111, 25, 121)(16, 112, 26, 122)(17, 113, 27, 123)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 33, 129)(22, 118, 34, 130)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 38, 134)(31, 127, 35, 131)(39, 135, 55, 151)(40, 136, 56, 152)(41, 137, 57, 153)(42, 138, 58, 154)(43, 139, 59, 155)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 64, 160)(48, 144, 65, 161)(49, 145, 66, 162)(50, 146, 67, 163)(51, 147, 68, 164)(52, 148, 70, 166)(53, 149, 71, 167)(54, 150, 72, 168)(60, 156, 69, 165)(73, 169, 89, 185)(74, 170, 84, 180)(75, 171, 87, 183)(76, 172, 82, 178)(77, 173, 90, 186)(78, 174, 91, 187)(79, 175, 83, 179)(80, 176, 92, 188)(81, 177, 93, 189)(85, 181, 94, 190)(86, 182, 95, 191)(88, 184, 96, 192)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 252, 348, 238, 334, 223, 319, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 227, 323, 243, 339, 261, 357, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 201, 297, 210, 306, 222, 318, 237, 333, 255, 351, 270, 366, 251, 347, 234, 330, 219, 315, 208, 304)(203, 299, 212, 308, 205, 301, 215, 311, 229, 325, 245, 341, 264, 360, 278, 374, 260, 356, 242, 338, 226, 322, 213, 309)(217, 313, 231, 327, 218, 314, 233, 329, 250, 346, 269, 365, 283, 379, 272, 368, 254, 350, 236, 332, 221, 317, 232, 328)(224, 320, 239, 335, 225, 321, 241, 337, 259, 355, 277, 373, 287, 383, 280, 376, 263, 359, 244, 340, 228, 324, 240, 336)(247, 343, 265, 361, 248, 344, 267, 363, 253, 349, 271, 367, 284, 380, 285, 381, 282, 378, 268, 364, 249, 345, 266, 362)(256, 352, 273, 369, 257, 353, 275, 371, 262, 358, 279, 375, 288, 384, 281, 377, 286, 382, 276, 372, 258, 354, 274, 370)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 206)(9, 196)(10, 204)(11, 197)(12, 202)(13, 198)(14, 200)(15, 217)(16, 218)(17, 219)(18, 221)(19, 222)(20, 224)(21, 225)(22, 226)(23, 228)(24, 229)(25, 207)(26, 208)(27, 209)(28, 230)(29, 210)(30, 211)(31, 227)(32, 212)(33, 213)(34, 214)(35, 223)(36, 215)(37, 216)(38, 220)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 253)(45, 254)(46, 255)(47, 256)(48, 257)(49, 258)(50, 259)(51, 260)(52, 262)(53, 263)(54, 264)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 261)(61, 236)(62, 237)(63, 238)(64, 239)(65, 240)(66, 241)(67, 242)(68, 243)(69, 252)(70, 244)(71, 245)(72, 246)(73, 281)(74, 276)(75, 279)(76, 274)(77, 282)(78, 283)(79, 275)(80, 284)(81, 285)(82, 268)(83, 271)(84, 266)(85, 286)(86, 287)(87, 267)(88, 288)(89, 265)(90, 269)(91, 270)(92, 272)(93, 273)(94, 277)(95, 278)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.1020
Graph:: bipartite
	v = 56 e = 192 f = 102
	degree seq :: [ 4^48, 24^8 ]

E18.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y1^-1 * Y2^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^4 * Y2^2, Y1^12, Y1^-1 * Y2^-1 * Y1^4 * Y2^-7 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 14, 110, 26, 122, 42, 138, 62, 158, 60, 156, 40, 136, 24, 120, 12, 108, 4, 100)(3, 99, 9, 105, 19, 115, 33, 129, 51, 147, 73, 169, 85, 181, 64, 160, 43, 139, 28, 124, 15, 111, 8, 104)(5, 101, 11, 107, 22, 118, 37, 133, 56, 152, 79, 175, 86, 182, 63, 159, 44, 140, 27, 123, 16, 112, 7, 103)(10, 106, 18, 114, 29, 125, 46, 142, 65, 161, 88, 184, 84, 180, 95, 191, 74, 170, 52, 148, 34, 130, 20, 116)(13, 109, 17, 113, 30, 126, 45, 141, 66, 162, 87, 183, 78, 174, 96, 192, 80, 176, 57, 153, 38, 134, 23, 119)(21, 117, 35, 131, 53, 149, 75, 171, 94, 190, 71, 167, 61, 157, 83, 179, 89, 185, 68, 164, 47, 143, 32, 128)(25, 121, 39, 135, 58, 154, 81, 177, 93, 189, 72, 168, 55, 151, 77, 173, 90, 186, 67, 163, 48, 144, 31, 127)(36, 132, 50, 146, 69, 165, 92, 188, 82, 178, 59, 155, 41, 137, 49, 145, 70, 166, 91, 187, 76, 172, 54, 150)(193, 289, 195, 291, 202, 298, 213, 309, 228, 324, 247, 343, 270, 366, 278, 374, 254, 350, 277, 373, 276, 372, 253, 349, 233, 329, 217, 313, 205, 301, 197, 293)(194, 290, 199, 295, 209, 305, 223, 319, 241, 337, 263, 359, 287, 383, 265, 361, 252, 348, 271, 367, 288, 384, 264, 360, 242, 338, 224, 320, 210, 306, 200, 296)(196, 292, 203, 299, 215, 311, 231, 327, 251, 347, 275, 371, 280, 376, 256, 352, 234, 330, 255, 351, 279, 375, 269, 365, 246, 342, 227, 323, 212, 308, 201, 297)(198, 294, 207, 303, 221, 317, 239, 335, 261, 357, 285, 381, 272, 368, 248, 344, 232, 328, 243, 339, 266, 362, 286, 382, 262, 358, 240, 336, 222, 318, 208, 304)(204, 300, 211, 307, 226, 322, 245, 341, 268, 364, 282, 378, 258, 354, 236, 332, 218, 314, 235, 331, 257, 353, 281, 377, 274, 370, 250, 346, 230, 326, 214, 310)(206, 302, 219, 315, 237, 333, 259, 355, 283, 379, 267, 363, 244, 340, 225, 321, 216, 312, 229, 325, 249, 345, 273, 369, 284, 380, 260, 356, 238, 334, 220, 316)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 213)(11, 215)(12, 211)(13, 197)(14, 219)(15, 221)(16, 198)(17, 223)(18, 200)(19, 226)(20, 201)(21, 228)(22, 204)(23, 231)(24, 229)(25, 205)(26, 235)(27, 237)(28, 206)(29, 239)(30, 208)(31, 241)(32, 210)(33, 216)(34, 245)(35, 212)(36, 247)(37, 249)(38, 214)(39, 251)(40, 243)(41, 217)(42, 255)(43, 257)(44, 218)(45, 259)(46, 220)(47, 261)(48, 222)(49, 263)(50, 224)(51, 266)(52, 225)(53, 268)(54, 227)(55, 270)(56, 232)(57, 273)(58, 230)(59, 275)(60, 271)(61, 233)(62, 277)(63, 279)(64, 234)(65, 281)(66, 236)(67, 283)(68, 238)(69, 285)(70, 240)(71, 287)(72, 242)(73, 252)(74, 286)(75, 244)(76, 282)(77, 246)(78, 278)(79, 288)(80, 248)(81, 284)(82, 250)(83, 280)(84, 253)(85, 276)(86, 254)(87, 269)(88, 256)(89, 274)(90, 258)(91, 267)(92, 260)(93, 272)(94, 262)(95, 265)(96, 264)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.1019
Graph:: bipartite
	v = 14 e = 192 f = 144
	degree seq :: [ 24^8, 32^6 ]

E18.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-2)^2, Y3 * Y2 * Y3^-3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^16 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 206, 302)(202, 298, 204, 300)(207, 303, 217, 313)(208, 304, 218, 314)(209, 305, 219, 315)(210, 306, 221, 317)(211, 307, 222, 318)(212, 308, 224, 320)(213, 309, 225, 321)(214, 310, 226, 322)(215, 311, 228, 324)(216, 312, 229, 325)(220, 316, 230, 326)(223, 319, 227, 323)(231, 327, 247, 343)(232, 328, 248, 344)(233, 329, 249, 345)(234, 330, 250, 346)(235, 331, 251, 347)(236, 332, 253, 349)(237, 333, 254, 350)(238, 334, 255, 351)(239, 335, 257, 353)(240, 336, 258, 354)(241, 337, 259, 355)(242, 338, 260, 356)(243, 339, 261, 357)(244, 340, 263, 359)(245, 341, 264, 360)(246, 342, 265, 361)(252, 348, 266, 362)(256, 352, 262, 358)(267, 363, 281, 377)(268, 364, 277, 373)(269, 365, 279, 375)(270, 366, 275, 371)(271, 367, 282, 378)(272, 368, 276, 372)(273, 369, 284, 380)(274, 370, 285, 381)(278, 374, 286, 382)(280, 376, 288, 384)(283, 379, 287, 383)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 209)(9, 210)(10, 196)(11, 212)(12, 214)(13, 215)(14, 198)(15, 201)(16, 199)(17, 220)(18, 222)(19, 202)(20, 205)(21, 203)(22, 227)(23, 229)(24, 206)(25, 231)(26, 233)(27, 208)(28, 235)(29, 232)(30, 237)(31, 211)(32, 239)(33, 241)(34, 213)(35, 243)(36, 240)(37, 245)(38, 216)(39, 218)(40, 217)(41, 250)(42, 219)(43, 252)(44, 221)(45, 255)(46, 223)(47, 225)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 265)(54, 230)(55, 267)(56, 269)(57, 268)(58, 259)(59, 234)(60, 271)(61, 264)(62, 236)(63, 272)(64, 238)(65, 274)(66, 276)(67, 275)(68, 249)(69, 242)(70, 278)(71, 254)(72, 244)(73, 279)(74, 246)(75, 248)(76, 247)(77, 253)(78, 251)(79, 283)(80, 284)(81, 256)(82, 258)(83, 257)(84, 263)(85, 261)(86, 287)(87, 288)(88, 266)(89, 286)(90, 270)(91, 273)(92, 285)(93, 282)(94, 277)(95, 280)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 32 ), ( 24, 32, 24, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.1018
Graph:: simple bipartite
	v = 144 e = 192 f = 14
	degree seq :: [ 2^96, 4^48 ]

E18.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (Y1^-2 * Y3)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y1^16, (Y3 * Y1)^12 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 20, 116, 32, 128, 47, 143, 65, 161, 82, 178, 81, 177, 64, 160, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 25, 121, 39, 135, 55, 151, 75, 171, 89, 185, 93, 189, 84, 180, 66, 162, 49, 145, 33, 129, 22, 118, 12, 108, 8, 104)(6, 102, 13, 109, 9, 105, 18, 114, 29, 125, 44, 140, 61, 157, 80, 176, 92, 188, 94, 190, 83, 179, 67, 163, 48, 144, 34, 130, 21, 117, 14, 110)(16, 112, 26, 122, 17, 113, 28, 124, 35, 131, 51, 147, 68, 164, 86, 182, 95, 191, 87, 183, 96, 192, 88, 184, 76, 172, 56, 152, 40, 136, 27, 123)(23, 119, 36, 132, 24, 120, 38, 134, 50, 146, 69, 165, 85, 181, 77, 173, 90, 186, 78, 174, 91, 187, 79, 175, 62, 158, 45, 141, 30, 126, 37, 133)(41, 137, 57, 153, 42, 138, 59, 155, 74, 170, 54, 150, 72, 168, 52, 148, 71, 167, 53, 149, 73, 169, 63, 159, 70, 166, 60, 156, 43, 139, 58, 154)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 207)(11, 213)(12, 197)(13, 215)(14, 216)(15, 202)(16, 199)(17, 200)(18, 222)(19, 221)(20, 225)(21, 203)(22, 227)(23, 205)(24, 206)(25, 232)(26, 233)(27, 234)(28, 235)(29, 211)(30, 210)(31, 231)(32, 240)(33, 212)(34, 242)(35, 214)(36, 244)(37, 245)(38, 246)(39, 223)(40, 217)(41, 218)(42, 219)(43, 220)(44, 254)(45, 255)(46, 253)(47, 258)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 229)(54, 230)(55, 268)(56, 266)(57, 269)(58, 270)(59, 261)(60, 271)(61, 238)(62, 236)(63, 237)(64, 267)(65, 275)(66, 239)(67, 277)(68, 241)(69, 251)(70, 243)(71, 279)(72, 280)(73, 278)(74, 248)(75, 256)(76, 247)(77, 249)(78, 250)(79, 252)(80, 283)(81, 284)(82, 285)(83, 257)(84, 287)(85, 259)(86, 265)(87, 263)(88, 264)(89, 288)(90, 286)(91, 272)(92, 273)(93, 274)(94, 282)(95, 276)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 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 E18.1017
Graph:: simple bipartite
	v = 102 e = 192 f = 56
	degree seq :: [ 2^96, 32^6 ]

E18.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^-2 * R * Y2, (Y2^2 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^16, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 14, 110)(10, 106, 12, 108)(15, 111, 25, 121)(16, 112, 26, 122)(17, 113, 27, 123)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 33, 129)(22, 118, 34, 130)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 38, 134)(31, 127, 35, 131)(39, 135, 55, 151)(40, 136, 56, 152)(41, 137, 57, 153)(42, 138, 58, 154)(43, 139, 59, 155)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 65, 161)(48, 144, 66, 162)(49, 145, 67, 163)(50, 146, 68, 164)(51, 147, 69, 165)(52, 148, 71, 167)(53, 149, 72, 168)(54, 150, 73, 169)(60, 156, 74, 170)(64, 160, 70, 166)(75, 171, 89, 185)(76, 172, 85, 181)(77, 173, 87, 183)(78, 174, 83, 179)(79, 175, 90, 186)(80, 176, 84, 180)(81, 177, 92, 188)(82, 178, 93, 189)(86, 182, 94, 190)(88, 184, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 252, 348, 271, 367, 283, 379, 273, 369, 256, 352, 238, 334, 223, 319, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 227, 323, 243, 339, 262, 358, 278, 374, 287, 383, 280, 376, 266, 362, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 201, 297, 210, 306, 222, 318, 237, 333, 255, 351, 272, 368, 284, 380, 285, 381, 282, 378, 270, 366, 251, 347, 234, 330, 219, 315, 208, 304)(203, 299, 212, 308, 205, 301, 215, 311, 229, 325, 245, 341, 265, 361, 279, 375, 288, 384, 281, 377, 286, 382, 277, 373, 261, 357, 242, 338, 226, 322, 213, 309)(217, 313, 231, 327, 218, 314, 233, 329, 250, 346, 259, 355, 275, 371, 257, 353, 274, 370, 258, 354, 276, 372, 263, 359, 254, 350, 236, 332, 221, 317, 232, 328)(224, 320, 239, 335, 225, 321, 241, 337, 260, 356, 249, 345, 268, 364, 247, 343, 267, 363, 248, 344, 269, 365, 253, 349, 264, 360, 244, 340, 228, 324, 240, 336)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 206)(9, 196)(10, 204)(11, 197)(12, 202)(13, 198)(14, 200)(15, 217)(16, 218)(17, 219)(18, 221)(19, 222)(20, 224)(21, 225)(22, 226)(23, 228)(24, 229)(25, 207)(26, 208)(27, 209)(28, 230)(29, 210)(30, 211)(31, 227)(32, 212)(33, 213)(34, 214)(35, 223)(36, 215)(37, 216)(38, 220)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 253)(45, 254)(46, 255)(47, 257)(48, 258)(49, 259)(50, 260)(51, 261)(52, 263)(53, 264)(54, 265)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 266)(61, 236)(62, 237)(63, 238)(64, 262)(65, 239)(66, 240)(67, 241)(68, 242)(69, 243)(70, 256)(71, 244)(72, 245)(73, 246)(74, 252)(75, 281)(76, 277)(77, 279)(78, 275)(79, 282)(80, 276)(81, 284)(82, 285)(83, 270)(84, 272)(85, 268)(86, 286)(87, 269)(88, 288)(89, 267)(90, 271)(91, 287)(92, 273)(93, 274)(94, 278)(95, 283)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 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 E18.1022
Graph:: bipartite
	v = 54 e = 192 f = 104
	degree seq :: [ 4^48, 32^6 ]

E18.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 16})
Quotient :: dipole
Aut^+ = (C3 x Q16) : C2 (small group id <96, 35>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^12, Y1^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3^5 * Y1^-2, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 14, 110, 26, 122, 42, 138, 62, 158, 60, 156, 40, 136, 24, 120, 12, 108, 4, 100)(3, 99, 9, 105, 19, 115, 33, 129, 51, 147, 73, 169, 85, 181, 64, 160, 43, 139, 28, 124, 15, 111, 8, 104)(5, 101, 11, 107, 22, 118, 37, 133, 56, 152, 79, 175, 86, 182, 63, 159, 44, 140, 27, 123, 16, 112, 7, 103)(10, 106, 18, 114, 29, 125, 46, 142, 65, 161, 88, 184, 84, 180, 95, 191, 74, 170, 52, 148, 34, 130, 20, 116)(13, 109, 17, 113, 30, 126, 45, 141, 66, 162, 87, 183, 78, 174, 96, 192, 80, 176, 57, 153, 38, 134, 23, 119)(21, 117, 35, 131, 53, 149, 75, 171, 94, 190, 71, 167, 61, 157, 83, 179, 89, 185, 68, 164, 47, 143, 32, 128)(25, 121, 39, 135, 58, 154, 81, 177, 93, 189, 72, 168, 55, 151, 77, 173, 90, 186, 67, 163, 48, 144, 31, 127)(36, 132, 50, 146, 69, 165, 92, 188, 82, 178, 59, 155, 41, 137, 49, 145, 70, 166, 91, 187, 76, 172, 54, 150)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 213)(11, 215)(12, 211)(13, 197)(14, 219)(15, 221)(16, 198)(17, 223)(18, 200)(19, 226)(20, 201)(21, 228)(22, 204)(23, 231)(24, 229)(25, 205)(26, 235)(27, 237)(28, 206)(29, 239)(30, 208)(31, 241)(32, 210)(33, 216)(34, 245)(35, 212)(36, 247)(37, 249)(38, 214)(39, 251)(40, 243)(41, 217)(42, 255)(43, 257)(44, 218)(45, 259)(46, 220)(47, 261)(48, 222)(49, 263)(50, 224)(51, 266)(52, 225)(53, 268)(54, 227)(55, 270)(56, 232)(57, 273)(58, 230)(59, 275)(60, 271)(61, 233)(62, 277)(63, 279)(64, 234)(65, 281)(66, 236)(67, 283)(68, 238)(69, 285)(70, 240)(71, 287)(72, 242)(73, 252)(74, 286)(75, 244)(76, 282)(77, 246)(78, 278)(79, 288)(80, 248)(81, 284)(82, 250)(83, 280)(84, 253)(85, 276)(86, 254)(87, 269)(88, 256)(89, 274)(90, 258)(91, 267)(92, 260)(93, 272)(94, 262)(95, 265)(96, 264)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 32 ), ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E18.1021
Graph:: simple bipartite
	v = 104 e = 192 f = 54
	degree seq :: [ 2^96, 24^8 ]

E18.1023 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 37})
Quotient :: edge
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = C37 : C3 (small group id <111, 1>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, (X2^-1 * X1)^3, (X2^-1 * X1^-1)^3, X2^2 * X1 * X2^-4 * X1^-1 * X2, X2^37 ]
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, 80)(43, 83, 63)(47, 88, 89)(50, 91, 87)(52, 92, 85)(54, 94, 61)(56, 96, 93)(58, 97, 98)(66, 75, 104)(68, 105, 81)(69, 100, 106)(71, 107, 82)(72, 99, 108)(77, 109, 103)(78, 110, 90)(84, 95, 101)(86, 111, 102)(112, 114, 120, 136, 165, 206, 222, 200, 193, 153, 129, 142, 168, 207, 211, 171, 194, 157, 198, 192, 152, 187, 175, 208, 210, 170, 139, 131, 155, 196, 191, 221, 220, 186, 148, 126, 116)(113, 117, 128, 151, 164, 204, 209, 215, 213, 174, 141, 124, 144, 179, 163, 135, 162, 176, 214, 212, 173, 181, 146, 182, 161, 134, 119, 133, 159, 201, 205, 217, 219, 184, 158, 132, 118)(115, 122, 140, 172, 190, 216, 218, 185, 169, 138, 121, 130, 154, 195, 189, 150, 178, 147, 183, 167, 137, 160, 156, 197, 188, 149, 127, 125, 145, 180, 166, 203, 202, 199, 177, 143, 123)
	L = (1, 112)(2, 113)(3, 114)(4, 115)(5, 116)(6, 117)(7, 118)(8, 119)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 125)(15, 126)(16, 127)(17, 128)(18, 129)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 137)(27, 138)(28, 139)(29, 140)(30, 141)(31, 142)(32, 143)(33, 144)(34, 145)(35, 146)(36, 147)(37, 148)(38, 149)(39, 150)(40, 151)(41, 152)(42, 153)(43, 154)(44, 155)(45, 156)(46, 157)(47, 158)(48, 159)(49, 160)(50, 161)(51, 162)(52, 163)(53, 164)(54, 165)(55, 166)(56, 167)(57, 168)(58, 169)(59, 170)(60, 171)(61, 172)(62, 173)(63, 174)(64, 175)(65, 176)(66, 177)(67, 178)(68, 179)(69, 180)(70, 181)(71, 182)(72, 183)(73, 184)(74, 185)(75, 186)(76, 187)(77, 188)(78, 189)(79, 190)(80, 191)(81, 192)(82, 193)(83, 194)(84, 195)(85, 196)(86, 197)(87, 198)(88, 199)(89, 200)(90, 201)(91, 202)(92, 203)(93, 204)(94, 205)(95, 206)(96, 207)(97, 208)(98, 209)(99, 210)(100, 211)(101, 212)(102, 213)(103, 214)(104, 215)(105, 216)(106, 217)(107, 218)(108, 219)(109, 220)(110, 221)(111, 222)
	local type(s) :: { ( 6^3 ), ( 6^37 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 111 f = 37
	degree seq :: [ 3^37, 37^3 ]

E18.1024 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 37})
Quotient :: loop
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = C37 : C3 (small group id <111, 1>)
|r| :: 1
Presentation :: [ X1^3, X2^3, (X1 * X2^-1)^3, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^37 ]
Map:: polytopal non-degenerate
	R = (1, 112, 2, 113, 4, 115)(3, 114, 8, 119, 9, 120)(5, 116, 12, 123, 13, 124)(6, 117, 14, 125, 15, 126)(7, 118, 16, 127, 17, 128)(10, 121, 21, 132, 22, 133)(11, 122, 23, 134, 24, 135)(18, 129, 33, 144, 34, 145)(19, 130, 26, 137, 35, 146)(20, 131, 36, 147, 37, 148)(25, 136, 42, 153, 43, 154)(27, 138, 44, 155, 45, 156)(28, 139, 46, 157, 47, 158)(29, 140, 31, 142, 48, 159)(30, 141, 49, 160, 50, 161)(32, 143, 51, 162, 52, 163)(38, 149, 59, 170, 60, 171)(39, 150, 40, 151, 61, 172)(41, 152, 62, 173, 63, 174)(53, 164, 76, 187, 77, 188)(54, 165, 56, 167, 78, 189)(55, 166, 79, 190, 80, 191)(57, 168, 66, 177, 81, 192)(58, 169, 82, 193, 83, 194)(64, 175, 90, 201, 91, 202)(65, 176, 92, 203, 93, 204)(67, 178, 94, 205, 95, 206)(68, 179, 96, 207, 97, 208)(69, 180, 71, 182, 98, 209)(70, 181, 99, 210, 100, 211)(72, 183, 74, 185, 101, 212)(73, 184, 102, 213, 103, 214)(75, 186, 104, 215, 105, 216)(84, 195, 106, 217, 110, 221)(85, 196, 86, 197, 107, 218)(87, 198, 88, 199, 108, 219)(89, 200, 111, 222, 109, 220)
	L = (1, 114)(2, 117)(3, 116)(4, 121)(5, 112)(6, 118)(7, 113)(8, 129)(9, 127)(10, 122)(11, 115)(12, 136)(13, 137)(14, 139)(15, 134)(16, 131)(17, 142)(18, 130)(19, 119)(20, 120)(21, 149)(22, 123)(23, 141)(24, 151)(25, 133)(26, 138)(27, 124)(28, 140)(29, 125)(30, 126)(31, 143)(32, 128)(33, 164)(34, 147)(35, 167)(36, 166)(37, 162)(38, 150)(39, 132)(40, 152)(41, 135)(42, 175)(43, 155)(44, 176)(45, 177)(46, 179)(47, 160)(48, 182)(49, 181)(50, 173)(51, 169)(52, 185)(53, 165)(54, 144)(55, 145)(56, 168)(57, 146)(58, 148)(59, 195)(60, 153)(61, 197)(62, 184)(63, 199)(64, 171)(65, 154)(66, 178)(67, 156)(68, 180)(69, 157)(70, 158)(71, 183)(72, 159)(73, 161)(74, 186)(75, 163)(76, 217)(77, 190)(78, 208)(79, 218)(80, 193)(81, 211)(82, 219)(83, 215)(84, 196)(85, 170)(86, 198)(87, 172)(88, 200)(89, 174)(90, 209)(91, 203)(92, 212)(93, 205)(94, 216)(95, 214)(96, 187)(97, 210)(98, 221)(99, 189)(100, 213)(101, 202)(102, 192)(103, 222)(104, 220)(105, 204)(106, 207)(107, 188)(108, 191)(109, 194)(110, 201)(111, 206)
	local type(s) :: { ( 3, 37, 3, 37, 3, 37 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 37 e = 111 f = 40
	degree seq :: [ 6^37 ]

E18.1025 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {3, 3, 37})
Quotient :: loop
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, F * T1 * F * T2, (T2 * T1^-1)^3, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^37 ]
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, 96)(77, 79, 107)(78, 97, 99)(80, 82, 108)(81, 100, 102)(83, 104, 109)(90, 98, 110)(91, 92, 101)(93, 94, 105)(95, 103, 111)(112, 113, 115)(114, 119, 120)(116, 123, 124)(117, 125, 126)(118, 127, 128)(121, 132, 133)(122, 134, 135)(129, 144, 145)(130, 137, 146)(131, 147, 148)(136, 153, 154)(138, 155, 156)(139, 157, 158)(140, 142, 159)(141, 160, 161)(143, 162, 163)(149, 170, 171)(150, 151, 172)(152, 173, 174)(164, 187, 188)(165, 167, 189)(166, 190, 191)(168, 177, 192)(169, 193, 194)(175, 201, 202)(176, 203, 204)(178, 205, 206)(179, 207, 208)(180, 182, 209)(181, 210, 211)(183, 185, 212)(184, 213, 214)(186, 215, 216)(195, 217, 221)(196, 197, 218)(198, 199, 219)(200, 222, 220)
	L = (1, 112)(2, 113)(3, 114)(4, 115)(5, 116)(6, 117)(7, 118)(8, 119)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 125)(15, 126)(16, 127)(17, 128)(18, 129)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 137)(27, 138)(28, 139)(29, 140)(30, 141)(31, 142)(32, 143)(33, 144)(34, 145)(35, 146)(36, 147)(37, 148)(38, 149)(39, 150)(40, 151)(41, 152)(42, 153)(43, 154)(44, 155)(45, 156)(46, 157)(47, 158)(48, 159)(49, 160)(50, 161)(51, 162)(52, 163)(53, 164)(54, 165)(55, 166)(56, 167)(57, 168)(58, 169)(59, 170)(60, 171)(61, 172)(62, 173)(63, 174)(64, 175)(65, 176)(66, 177)(67, 178)(68, 179)(69, 180)(70, 181)(71, 182)(72, 183)(73, 184)(74, 185)(75, 186)(76, 187)(77, 188)(78, 189)(79, 190)(80, 191)(81, 192)(82, 193)(83, 194)(84, 195)(85, 196)(86, 197)(87, 198)(88, 199)(89, 200)(90, 201)(91, 202)(92, 203)(93, 204)(94, 205)(95, 206)(96, 207)(97, 208)(98, 209)(99, 210)(100, 211)(101, 212)(102, 213)(103, 214)(104, 215)(105, 216)(106, 217)(107, 218)(108, 219)(109, 220)(110, 221)(111, 222)
	local type(s) :: { ( 74^3 ) }
Outer automorphisms :: reflexible
Dual of E18.1026
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 74 e = 111 f = 3
	degree seq :: [ 3^74 ]

E18.1026 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {3, 3, 37})
Quotient :: edge
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, F * T1 * T2 * F * T1^-1, (T1^-1 * T2^-1)^3, (T2^-1 * T1)^3, (T2^-1 * T1^-1)^3, T2^2 * T1 * T2^-4 * T1^-1 * T2, (T1^-1 * T2^2 * T1 * F)^2, T2^37 ]
Map:: polytopal non-degenerate
	R = (1, 112, 3, 114, 9, 120, 25, 136, 54, 165, 95, 206, 111, 222, 89, 200, 82, 193, 42, 153, 18, 129, 31, 142, 57, 168, 96, 207, 100, 211, 60, 171, 83, 194, 46, 157, 87, 198, 81, 192, 41, 152, 76, 187, 64, 175, 97, 208, 99, 210, 59, 170, 28, 139, 20, 131, 44, 155, 85, 196, 80, 191, 110, 221, 109, 220, 75, 186, 37, 148, 15, 126, 5, 116)(2, 113, 6, 117, 17, 128, 40, 151, 53, 164, 93, 204, 98, 209, 104, 215, 102, 213, 63, 174, 30, 141, 13, 124, 33, 144, 68, 179, 52, 163, 24, 135, 51, 162, 65, 176, 103, 214, 101, 212, 62, 173, 70, 181, 35, 146, 71, 182, 50, 161, 23, 134, 8, 119, 22, 133, 48, 159, 90, 201, 94, 205, 106, 217, 108, 219, 73, 184, 47, 158, 21, 132, 7, 118)(4, 115, 11, 122, 29, 140, 61, 172, 79, 190, 105, 216, 107, 218, 74, 185, 58, 169, 27, 138, 10, 121, 19, 130, 43, 154, 84, 195, 78, 189, 39, 150, 67, 178, 36, 147, 72, 183, 56, 167, 26, 137, 49, 160, 45, 156, 86, 197, 77, 188, 38, 149, 16, 127, 14, 125, 34, 145, 69, 180, 55, 166, 92, 203, 91, 202, 88, 199, 66, 177, 32, 143, 12, 123)
	L = (1, 113)(2, 115)(3, 119)(4, 112)(5, 124)(6, 127)(7, 130)(8, 121)(9, 135)(10, 114)(11, 139)(12, 142)(13, 125)(14, 116)(15, 146)(16, 129)(17, 150)(18, 117)(19, 131)(20, 118)(21, 156)(22, 123)(23, 160)(24, 137)(25, 164)(26, 120)(27, 168)(28, 141)(29, 171)(30, 122)(31, 133)(32, 175)(33, 178)(34, 170)(35, 147)(36, 126)(37, 184)(38, 187)(39, 152)(40, 190)(41, 128)(42, 144)(43, 194)(44, 134)(45, 157)(46, 132)(47, 199)(48, 149)(49, 155)(50, 202)(51, 138)(52, 203)(53, 166)(54, 205)(55, 136)(56, 207)(57, 162)(58, 208)(59, 181)(60, 173)(61, 165)(62, 140)(63, 154)(64, 176)(65, 143)(66, 186)(67, 153)(68, 216)(69, 211)(70, 145)(71, 218)(72, 210)(73, 185)(74, 148)(75, 215)(76, 159)(77, 220)(78, 221)(79, 191)(80, 151)(81, 179)(82, 182)(83, 174)(84, 206)(85, 163)(86, 222)(87, 161)(88, 200)(89, 158)(90, 189)(91, 198)(92, 196)(93, 167)(94, 172)(95, 212)(96, 204)(97, 209)(98, 169)(99, 219)(100, 217)(101, 195)(102, 197)(103, 188)(104, 177)(105, 192)(106, 180)(107, 193)(108, 183)(109, 214)(110, 201)(111, 213)
	local type(s) :: { ( 3^74 ) }
Outer automorphisms :: reflexible
Dual of E18.1025
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 111 f = 74
	degree seq :: [ 74^3 ]

E18.1027 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 37})
Quotient :: edge^2
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y2^3, 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^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-3, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^2 * Y2^-1 * Y3^33 ]
Map:: polytopal non-degenerate
	R = (1, 112, 4, 115, 15, 126, 40, 151, 83, 194, 108, 219, 109, 220, 102, 213, 58, 169, 24, 135, 26, 137, 11, 122, 32, 143, 71, 182, 93, 204, 47, 158, 67, 178, 69, 180, 97, 208, 59, 170, 61, 172, 64, 175, 35, 146, 74, 185, 95, 206, 48, 159, 19, 130, 30, 141, 50, 161, 87, 198, 103, 214, 104, 215, 106, 217, 77, 188, 57, 168, 23, 134, 7, 118)(2, 113, 8, 119, 25, 136, 60, 171, 42, 153, 72, 183, 75, 186, 78, 189, 89, 200, 44, 155, 46, 157, 21, 132, 52, 163, 88, 199, 43, 154, 17, 128, 33, 144, 36, 147, 76, 187, 90, 201, 92, 203, 94, 205, 55, 166, 98, 209, 51, 162, 20, 131, 6, 117, 12, 123, 34, 145, 73, 184, 85, 196, 110, 221, 111, 222, 101, 212, 70, 181, 31, 142, 10, 121)(3, 114, 5, 116, 18, 129, 45, 156, 91, 202, 62, 173, 99, 210, 100, 211, 80, 191, 38, 149, 14, 125, 16, 127, 29, 140, 66, 177, 105, 216, 63, 174, 27, 138, 53, 164, 56, 167, 81, 192, 39, 150, 41, 152, 49, 160, 68, 179, 107, 218, 65, 176, 28, 139, 9, 120, 22, 133, 54, 165, 82, 193, 84, 195, 86, 197, 96, 207, 79, 190, 37, 148, 13, 124)(223, 224, 227)(225, 233, 234)(226, 228, 238)(229, 243, 244)(230, 231, 248)(232, 251, 252)(235, 257, 258)(236, 254, 255)(237, 239, 263)(240, 241, 268)(242, 271, 272)(245, 277, 278)(246, 274, 275)(247, 249, 283)(250, 286, 256)(253, 290, 291)(259, 299, 300)(260, 296, 297)(261, 293, 294)(262, 264, 306)(265, 308, 309)(266, 288, 289)(267, 269, 314)(270, 316, 276)(273, 318, 319)(279, 323, 302)(280, 320, 322)(281, 310, 321)(282, 284, 325)(285, 326, 295)(287, 328, 298)(292, 301, 324)(303, 317, 333)(304, 315, 332)(305, 307, 313)(311, 329, 331)(312, 327, 330)(334, 336, 339)(335, 340, 342)(337, 347, 350)(338, 343, 352)(341, 357, 360)(344, 346, 366)(345, 359, 361)(348, 372, 375)(349, 353, 363)(351, 377, 380)(354, 356, 386)(355, 379, 381)(358, 392, 395)(362, 364, 400)(365, 371, 405)(367, 394, 396)(368, 370, 408)(369, 397, 398)(373, 415, 418)(374, 376, 383)(378, 423, 416)(382, 384, 402)(385, 391, 432)(387, 425, 426)(388, 390, 433)(389, 427, 428)(393, 420, 417)(399, 422, 441)(401, 403, 442)(404, 414, 443)(406, 436, 424)(407, 413, 444)(409, 437, 438)(410, 412, 434)(411, 439, 440)(419, 421, 430)(429, 431, 435)
	L = (1, 223)(2, 224)(3, 225)(4, 226)(5, 227)(6, 228)(7, 229)(8, 230)(9, 231)(10, 232)(11, 233)(12, 234)(13, 235)(14, 236)(15, 237)(16, 238)(17, 239)(18, 240)(19, 241)(20, 242)(21, 243)(22, 244)(23, 245)(24, 246)(25, 247)(26, 248)(27, 249)(28, 250)(29, 251)(30, 252)(31, 253)(32, 254)(33, 255)(34, 256)(35, 257)(36, 258)(37, 259)(38, 260)(39, 261)(40, 262)(41, 263)(42, 264)(43, 265)(44, 266)(45, 267)(46, 268)(47, 269)(48, 270)(49, 271)(50, 272)(51, 273)(52, 274)(53, 275)(54, 276)(55, 277)(56, 278)(57, 279)(58, 280)(59, 281)(60, 282)(61, 283)(62, 284)(63, 285)(64, 286)(65, 287)(66, 288)(67, 289)(68, 290)(69, 291)(70, 292)(71, 293)(72, 294)(73, 295)(74, 296)(75, 297)(76, 298)(77, 299)(78, 300)(79, 301)(80, 302)(81, 303)(82, 304)(83, 305)(84, 306)(85, 307)(86, 308)(87, 309)(88, 310)(89, 311)(90, 312)(91, 313)(92, 314)(93, 315)(94, 316)(95, 317)(96, 318)(97, 319)(98, 320)(99, 321)(100, 322)(101, 323)(102, 324)(103, 325)(104, 326)(105, 327)(106, 328)(107, 329)(108, 330)(109, 331)(110, 332)(111, 333)(112, 334)(113, 335)(114, 336)(115, 337)(116, 338)(117, 339)(118, 340)(119, 341)(120, 342)(121, 343)(122, 344)(123, 345)(124, 346)(125, 347)(126, 348)(127, 349)(128, 350)(129, 351)(130, 352)(131, 353)(132, 354)(133, 355)(134, 356)(135, 357)(136, 358)(137, 359)(138, 360)(139, 361)(140, 362)(141, 363)(142, 364)(143, 365)(144, 366)(145, 367)(146, 368)(147, 369)(148, 370)(149, 371)(150, 372)(151, 373)(152, 374)(153, 375)(154, 376)(155, 377)(156, 378)(157, 379)(158, 380)(159, 381)(160, 382)(161, 383)(162, 384)(163, 385)(164, 386)(165, 387)(166, 388)(167, 389)(168, 390)(169, 391)(170, 392)(171, 393)(172, 394)(173, 395)(174, 396)(175, 397)(176, 398)(177, 399)(178, 400)(179, 401)(180, 402)(181, 403)(182, 404)(183, 405)(184, 406)(185, 407)(186, 408)(187, 409)(188, 410)(189, 411)(190, 412)(191, 413)(192, 414)(193, 415)(194, 416)(195, 417)(196, 418)(197, 419)(198, 420)(199, 421)(200, 422)(201, 423)(202, 424)(203, 425)(204, 426)(205, 427)(206, 428)(207, 429)(208, 430)(209, 431)(210, 432)(211, 433)(212, 434)(213, 435)(214, 436)(215, 437)(216, 438)(217, 439)(218, 440)(219, 441)(220, 442)(221, 443)(222, 444)
	local type(s) :: { ( 4^3 ), ( 4^74 ) }
Outer automorphisms :: reflexible
Dual of E18.1030
Graph:: simple bipartite
	v = 77 e = 222 f = 111
	degree seq :: [ 3^74, 74^3 ]

E18.1028 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 37})
Quotient :: edge^2
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^37 ]
Map:: polytopal
	R = (1, 112)(2, 113)(3, 114)(4, 115)(5, 116)(6, 117)(7, 118)(8, 119)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 125)(15, 126)(16, 127)(17, 128)(18, 129)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 137)(27, 138)(28, 139)(29, 140)(30, 141)(31, 142)(32, 143)(33, 144)(34, 145)(35, 146)(36, 147)(37, 148)(38, 149)(39, 150)(40, 151)(41, 152)(42, 153)(43, 154)(44, 155)(45, 156)(46, 157)(47, 158)(48, 159)(49, 160)(50, 161)(51, 162)(52, 163)(53, 164)(54, 165)(55, 166)(56, 167)(57, 168)(58, 169)(59, 170)(60, 171)(61, 172)(62, 173)(63, 174)(64, 175)(65, 176)(66, 177)(67, 178)(68, 179)(69, 180)(70, 181)(71, 182)(72, 183)(73, 184)(74, 185)(75, 186)(76, 187)(77, 188)(78, 189)(79, 190)(80, 191)(81, 192)(82, 193)(83, 194)(84, 195)(85, 196)(86, 197)(87, 198)(88, 199)(89, 200)(90, 201)(91, 202)(92, 203)(93, 204)(94, 205)(95, 206)(96, 207)(97, 208)(98, 209)(99, 210)(100, 211)(101, 212)(102, 213)(103, 214)(104, 215)(105, 216)(106, 217)(107, 218)(108, 219)(109, 220)(110, 221)(111, 222)(223, 224, 226)(225, 230, 231)(227, 234, 235)(228, 236, 237)(229, 238, 239)(232, 243, 244)(233, 245, 246)(240, 255, 256)(241, 248, 257)(242, 258, 259)(247, 264, 265)(249, 266, 267)(250, 268, 269)(251, 253, 270)(252, 271, 272)(254, 273, 274)(260, 281, 282)(261, 262, 283)(263, 284, 285)(275, 298, 299)(276, 278, 300)(277, 301, 302)(279, 288, 303)(280, 304, 305)(286, 312, 313)(287, 314, 315)(289, 316, 317)(290, 318, 319)(291, 293, 320)(292, 321, 322)(294, 296, 323)(295, 324, 325)(297, 326, 327)(306, 328, 332)(307, 308, 329)(309, 310, 330)(311, 333, 331)(334, 336, 338)(335, 339, 340)(337, 343, 344)(341, 351, 352)(342, 349, 353)(345, 358, 355)(346, 359, 360)(347, 361, 362)(348, 356, 363)(350, 364, 365)(354, 371, 372)(357, 373, 374)(366, 386, 387)(367, 369, 388)(368, 389, 390)(370, 384, 391)(375, 397, 393)(376, 377, 398)(378, 399, 400)(379, 401, 402)(380, 382, 403)(381, 404, 405)(383, 395, 406)(385, 407, 408)(392, 417, 418)(394, 419, 420)(396, 421, 422)(409, 439, 429)(410, 412, 440)(411, 430, 432)(413, 415, 441)(414, 433, 435)(416, 437, 442)(423, 431, 443)(424, 425, 434)(426, 427, 438)(428, 436, 444)
	L = (1, 223)(2, 224)(3, 225)(4, 226)(5, 227)(6, 228)(7, 229)(8, 230)(9, 231)(10, 232)(11, 233)(12, 234)(13, 235)(14, 236)(15, 237)(16, 238)(17, 239)(18, 240)(19, 241)(20, 242)(21, 243)(22, 244)(23, 245)(24, 246)(25, 247)(26, 248)(27, 249)(28, 250)(29, 251)(30, 252)(31, 253)(32, 254)(33, 255)(34, 256)(35, 257)(36, 258)(37, 259)(38, 260)(39, 261)(40, 262)(41, 263)(42, 264)(43, 265)(44, 266)(45, 267)(46, 268)(47, 269)(48, 270)(49, 271)(50, 272)(51, 273)(52, 274)(53, 275)(54, 276)(55, 277)(56, 278)(57, 279)(58, 280)(59, 281)(60, 282)(61, 283)(62, 284)(63, 285)(64, 286)(65, 287)(66, 288)(67, 289)(68, 290)(69, 291)(70, 292)(71, 293)(72, 294)(73, 295)(74, 296)(75, 297)(76, 298)(77, 299)(78, 300)(79, 301)(80, 302)(81, 303)(82, 304)(83, 305)(84, 306)(85, 307)(86, 308)(87, 309)(88, 310)(89, 311)(90, 312)(91, 313)(92, 314)(93, 315)(94, 316)(95, 317)(96, 318)(97, 319)(98, 320)(99, 321)(100, 322)(101, 323)(102, 324)(103, 325)(104, 326)(105, 327)(106, 328)(107, 329)(108, 330)(109, 331)(110, 332)(111, 333)(112, 334)(113, 335)(114, 336)(115, 337)(116, 338)(117, 339)(118, 340)(119, 341)(120, 342)(121, 343)(122, 344)(123, 345)(124, 346)(125, 347)(126, 348)(127, 349)(128, 350)(129, 351)(130, 352)(131, 353)(132, 354)(133, 355)(134, 356)(135, 357)(136, 358)(137, 359)(138, 360)(139, 361)(140, 362)(141, 363)(142, 364)(143, 365)(144, 366)(145, 367)(146, 368)(147, 369)(148, 370)(149, 371)(150, 372)(151, 373)(152, 374)(153, 375)(154, 376)(155, 377)(156, 378)(157, 379)(158, 380)(159, 381)(160, 382)(161, 383)(162, 384)(163, 385)(164, 386)(165, 387)(166, 388)(167, 389)(168, 390)(169, 391)(170, 392)(171, 393)(172, 394)(173, 395)(174, 396)(175, 397)(176, 398)(177, 399)(178, 400)(179, 401)(180, 402)(181, 403)(182, 404)(183, 405)(184, 406)(185, 407)(186, 408)(187, 409)(188, 410)(189, 411)(190, 412)(191, 413)(192, 414)(193, 415)(194, 416)(195, 417)(196, 418)(197, 419)(198, 420)(199, 421)(200, 422)(201, 423)(202, 424)(203, 425)(204, 426)(205, 427)(206, 428)(207, 429)(208, 430)(209, 431)(210, 432)(211, 433)(212, 434)(213, 435)(214, 436)(215, 437)(216, 438)(217, 439)(218, 440)(219, 441)(220, 442)(221, 443)(222, 444)
	local type(s) :: { ( 148, 148 ), ( 148^3 ) }
Outer automorphisms :: reflexible
Dual of E18.1029
Graph:: simple bipartite
	v = 185 e = 222 f = 3
	degree seq :: [ 2^111, 3^74 ]

E18.1029 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 37})
Quotient :: loop^2
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3, Y2^3, 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^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y3^-3, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^2 * Y2^-1 * Y3^33 ]
Map::
	R = (1, 112, 223, 334, 4, 115, 226, 337, 15, 126, 237, 348, 40, 151, 262, 373, 83, 194, 305, 416, 108, 219, 330, 441, 109, 220, 331, 442, 102, 213, 324, 435, 58, 169, 280, 391, 24, 135, 246, 357, 26, 137, 248, 359, 11, 122, 233, 344, 32, 143, 254, 365, 71, 182, 293, 404, 93, 204, 315, 426, 47, 158, 269, 380, 67, 178, 289, 400, 69, 180, 291, 402, 97, 208, 319, 430, 59, 170, 281, 392, 61, 172, 283, 394, 64, 175, 286, 397, 35, 146, 257, 368, 74, 185, 296, 407, 95, 206, 317, 428, 48, 159, 270, 381, 19, 130, 241, 352, 30, 141, 252, 363, 50, 161, 272, 383, 87, 198, 309, 420, 103, 214, 325, 436, 104, 215, 326, 437, 106, 217, 328, 439, 77, 188, 299, 410, 57, 168, 279, 390, 23, 134, 245, 356, 7, 118, 229, 340)(2, 113, 224, 335, 8, 119, 230, 341, 25, 136, 247, 358, 60, 171, 282, 393, 42, 153, 264, 375, 72, 183, 294, 405, 75, 186, 297, 408, 78, 189, 300, 411, 89, 200, 311, 422, 44, 155, 266, 377, 46, 157, 268, 379, 21, 132, 243, 354, 52, 163, 274, 385, 88, 199, 310, 421, 43, 154, 265, 376, 17, 128, 239, 350, 33, 144, 255, 366, 36, 147, 258, 369, 76, 187, 298, 409, 90, 201, 312, 423, 92, 203, 314, 425, 94, 205, 316, 427, 55, 166, 277, 388, 98, 209, 320, 431, 51, 162, 273, 384, 20, 131, 242, 353, 6, 117, 228, 339, 12, 123, 234, 345, 34, 145, 256, 367, 73, 184, 295, 406, 85, 196, 307, 418, 110, 221, 332, 443, 111, 222, 333, 444, 101, 212, 323, 434, 70, 181, 292, 403, 31, 142, 253, 364, 10, 121, 232, 343)(3, 114, 225, 336, 5, 116, 227, 338, 18, 129, 240, 351, 45, 156, 267, 378, 91, 202, 313, 424, 62, 173, 284, 395, 99, 210, 321, 432, 100, 211, 322, 433, 80, 191, 302, 413, 38, 149, 260, 371, 14, 125, 236, 347, 16, 127, 238, 349, 29, 140, 251, 362, 66, 177, 288, 399, 105, 216, 327, 438, 63, 174, 285, 396, 27, 138, 249, 360, 53, 164, 275, 386, 56, 167, 278, 389, 81, 192, 303, 414, 39, 150, 261, 372, 41, 152, 263, 374, 49, 160, 271, 382, 68, 179, 290, 401, 107, 218, 329, 440, 65, 176, 287, 398, 28, 139, 250, 361, 9, 120, 231, 342, 22, 133, 244, 355, 54, 165, 276, 387, 82, 193, 304, 415, 84, 195, 306, 417, 86, 197, 308, 419, 96, 207, 318, 429, 79, 190, 301, 412, 37, 148, 259, 370, 13, 124, 235, 346)
	L = (1, 113)(2, 116)(3, 122)(4, 117)(5, 112)(6, 127)(7, 132)(8, 120)(9, 137)(10, 140)(11, 123)(12, 114)(13, 146)(14, 143)(15, 128)(16, 115)(17, 152)(18, 130)(19, 157)(20, 160)(21, 133)(22, 118)(23, 166)(24, 163)(25, 138)(26, 119)(27, 172)(28, 175)(29, 141)(30, 121)(31, 179)(32, 144)(33, 125)(34, 139)(35, 147)(36, 124)(37, 188)(38, 185)(39, 182)(40, 153)(41, 126)(42, 195)(43, 197)(44, 177)(45, 158)(46, 129)(47, 203)(48, 205)(49, 161)(50, 131)(51, 207)(52, 164)(53, 135)(54, 159)(55, 167)(56, 134)(57, 212)(58, 209)(59, 199)(60, 173)(61, 136)(62, 214)(63, 215)(64, 145)(65, 217)(66, 178)(67, 155)(68, 180)(69, 142)(70, 190)(71, 183)(72, 150)(73, 174)(74, 186)(75, 149)(76, 176)(77, 189)(78, 148)(79, 213)(80, 168)(81, 206)(82, 204)(83, 196)(84, 151)(85, 202)(86, 198)(87, 154)(88, 210)(89, 218)(90, 216)(91, 194)(92, 156)(93, 221)(94, 165)(95, 222)(96, 208)(97, 162)(98, 211)(99, 170)(100, 169)(101, 191)(102, 181)(103, 171)(104, 184)(105, 219)(106, 187)(107, 220)(108, 201)(109, 200)(110, 193)(111, 192)(223, 336)(224, 340)(225, 339)(226, 347)(227, 343)(228, 334)(229, 342)(230, 357)(231, 335)(232, 352)(233, 346)(234, 359)(235, 366)(236, 350)(237, 372)(238, 353)(239, 337)(240, 377)(241, 338)(242, 363)(243, 356)(244, 379)(245, 386)(246, 360)(247, 392)(248, 361)(249, 341)(250, 345)(251, 364)(252, 349)(253, 400)(254, 371)(255, 344)(256, 394)(257, 370)(258, 397)(259, 408)(260, 405)(261, 375)(262, 415)(263, 376)(264, 348)(265, 383)(266, 380)(267, 423)(268, 381)(269, 351)(270, 355)(271, 384)(272, 374)(273, 402)(274, 391)(275, 354)(276, 425)(277, 390)(278, 427)(279, 433)(280, 432)(281, 395)(282, 420)(283, 396)(284, 358)(285, 367)(286, 398)(287, 369)(288, 422)(289, 362)(290, 403)(291, 382)(292, 442)(293, 414)(294, 365)(295, 436)(296, 413)(297, 368)(298, 437)(299, 412)(300, 439)(301, 434)(302, 444)(303, 443)(304, 418)(305, 378)(306, 393)(307, 373)(308, 421)(309, 417)(310, 430)(311, 441)(312, 416)(313, 406)(314, 426)(315, 387)(316, 428)(317, 389)(318, 431)(319, 419)(320, 435)(321, 385)(322, 388)(323, 410)(324, 429)(325, 424)(326, 438)(327, 409)(328, 440)(329, 411)(330, 399)(331, 401)(332, 404)(333, 407)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1028
Transitivity :: VT+
Graph::
	v = 3 e = 222 f = 185
	degree seq :: [ 148^3 ]

E18.1030 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 37})
Quotient :: loop^2
Aut^+ = C37 : C3 (small group id <111, 1>)
Aut   = (C37 : C3) : C2 (small group id <222, 1>)
|r| :: 2
Presentation :: [ Y3, R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^37 ]
Map:: polytopal non-degenerate
	R = (1, 112, 223, 334)(2, 113, 224, 335)(3, 114, 225, 336)(4, 115, 226, 337)(5, 116, 227, 338)(6, 117, 228, 339)(7, 118, 229, 340)(8, 119, 230, 341)(9, 120, 231, 342)(10, 121, 232, 343)(11, 122, 233, 344)(12, 123, 234, 345)(13, 124, 235, 346)(14, 125, 236, 347)(15, 126, 237, 348)(16, 127, 238, 349)(17, 128, 239, 350)(18, 129, 240, 351)(19, 130, 241, 352)(20, 131, 242, 353)(21, 132, 243, 354)(22, 133, 244, 355)(23, 134, 245, 356)(24, 135, 246, 357)(25, 136, 247, 358)(26, 137, 248, 359)(27, 138, 249, 360)(28, 139, 250, 361)(29, 140, 251, 362)(30, 141, 252, 363)(31, 142, 253, 364)(32, 143, 254, 365)(33, 144, 255, 366)(34, 145, 256, 367)(35, 146, 257, 368)(36, 147, 258, 369)(37, 148, 259, 370)(38, 149, 260, 371)(39, 150, 261, 372)(40, 151, 262, 373)(41, 152, 263, 374)(42, 153, 264, 375)(43, 154, 265, 376)(44, 155, 266, 377)(45, 156, 267, 378)(46, 157, 268, 379)(47, 158, 269, 380)(48, 159, 270, 381)(49, 160, 271, 382)(50, 161, 272, 383)(51, 162, 273, 384)(52, 163, 274, 385)(53, 164, 275, 386)(54, 165, 276, 387)(55, 166, 277, 388)(56, 167, 278, 389)(57, 168, 279, 390)(58, 169, 280, 391)(59, 170, 281, 392)(60, 171, 282, 393)(61, 172, 283, 394)(62, 173, 284, 395)(63, 174, 285, 396)(64, 175, 286, 397)(65, 176, 287, 398)(66, 177, 288, 399)(67, 178, 289, 400)(68, 179, 290, 401)(69, 180, 291, 402)(70, 181, 292, 403)(71, 182, 293, 404)(72, 183, 294, 405)(73, 184, 295, 406)(74, 185, 296, 407)(75, 186, 297, 408)(76, 187, 298, 409)(77, 188, 299, 410)(78, 189, 300, 411)(79, 190, 301, 412)(80, 191, 302, 413)(81, 192, 303, 414)(82, 193, 304, 415)(83, 194, 305, 416)(84, 195, 306, 417)(85, 196, 307, 418)(86, 197, 308, 419)(87, 198, 309, 420)(88, 199, 310, 421)(89, 200, 311, 422)(90, 201, 312, 423)(91, 202, 313, 424)(92, 203, 314, 425)(93, 204, 315, 426)(94, 205, 316, 427)(95, 206, 317, 428)(96, 207, 318, 429)(97, 208, 319, 430)(98, 209, 320, 431)(99, 210, 321, 432)(100, 211, 322, 433)(101, 212, 323, 434)(102, 213, 324, 435)(103, 214, 325, 436)(104, 215, 326, 437)(105, 216, 327, 438)(106, 217, 328, 439)(107, 218, 329, 440)(108, 219, 330, 441)(109, 220, 331, 442)(110, 221, 332, 443)(111, 222, 333, 444)
	L = (1, 113)(2, 115)(3, 119)(4, 112)(5, 123)(6, 125)(7, 127)(8, 120)(9, 114)(10, 132)(11, 134)(12, 124)(13, 116)(14, 126)(15, 117)(16, 128)(17, 118)(18, 144)(19, 137)(20, 147)(21, 133)(22, 121)(23, 135)(24, 122)(25, 153)(26, 146)(27, 155)(28, 157)(29, 142)(30, 160)(31, 159)(32, 162)(33, 145)(34, 129)(35, 130)(36, 148)(37, 131)(38, 170)(39, 151)(40, 172)(41, 173)(42, 154)(43, 136)(44, 156)(45, 138)(46, 158)(47, 139)(48, 140)(49, 161)(50, 141)(51, 163)(52, 143)(53, 187)(54, 167)(55, 190)(56, 189)(57, 177)(58, 193)(59, 171)(60, 149)(61, 150)(62, 174)(63, 152)(64, 201)(65, 203)(66, 192)(67, 205)(68, 207)(69, 182)(70, 210)(71, 209)(72, 185)(73, 213)(74, 212)(75, 215)(76, 188)(77, 164)(78, 165)(79, 191)(80, 166)(81, 168)(82, 194)(83, 169)(84, 217)(85, 197)(86, 218)(87, 199)(88, 219)(89, 222)(90, 202)(91, 175)(92, 204)(93, 176)(94, 206)(95, 178)(96, 208)(97, 179)(98, 180)(99, 211)(100, 181)(101, 183)(102, 214)(103, 184)(104, 216)(105, 186)(106, 221)(107, 196)(108, 198)(109, 200)(110, 195)(111, 220)(223, 336)(224, 339)(225, 338)(226, 343)(227, 334)(228, 340)(229, 335)(230, 351)(231, 349)(232, 344)(233, 337)(234, 358)(235, 359)(236, 361)(237, 356)(238, 353)(239, 364)(240, 352)(241, 341)(242, 342)(243, 371)(244, 345)(245, 363)(246, 373)(247, 355)(248, 360)(249, 346)(250, 362)(251, 347)(252, 348)(253, 365)(254, 350)(255, 386)(256, 369)(257, 389)(258, 388)(259, 384)(260, 372)(261, 354)(262, 374)(263, 357)(264, 397)(265, 377)(266, 398)(267, 399)(268, 401)(269, 382)(270, 404)(271, 403)(272, 395)(273, 391)(274, 407)(275, 387)(276, 366)(277, 367)(278, 390)(279, 368)(280, 370)(281, 417)(282, 375)(283, 419)(284, 406)(285, 421)(286, 393)(287, 376)(288, 400)(289, 378)(290, 402)(291, 379)(292, 380)(293, 405)(294, 381)(295, 383)(296, 408)(297, 385)(298, 439)(299, 412)(300, 430)(301, 440)(302, 415)(303, 433)(304, 441)(305, 437)(306, 418)(307, 392)(308, 420)(309, 394)(310, 422)(311, 396)(312, 431)(313, 425)(314, 434)(315, 427)(316, 438)(317, 436)(318, 409)(319, 432)(320, 443)(321, 411)(322, 435)(323, 424)(324, 414)(325, 444)(326, 442)(327, 426)(328, 429)(329, 410)(330, 413)(331, 416)(332, 423)(333, 428)
	local type(s) :: { ( 3, 74, 3, 74 ) }
Outer automorphisms :: reflexible
Dual of E18.1027
Transitivity :: VT+
Graph:: simple
	v = 111 e = 222 f = 77
	degree seq :: [ 4^111 ]

E18.1031 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 14})
Quotient :: regular
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
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, 100, 95, 76, 56, 40, 27)(23, 36, 24, 38, 50, 69, 87, 101, 98, 83, 62, 45, 30, 37)(41, 57, 42, 59, 77, 96, 105, 109, 102, 90, 70, 60, 43, 58)(52, 71, 53, 73, 63, 84, 99, 107, 108, 103, 89, 74, 54, 72)(78, 91, 79, 92, 81, 94, 104, 110, 112, 111, 106, 97, 80, 93)
	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, 98)(83, 99)(84, 97)(86, 100)(88, 102)(90, 104)(95, 105)(96, 106)(101, 108)(103, 110)(107, 111)(109, 112)
	local type(s) :: { ( 8^14 ) }
Outer automorphisms :: reflexible
Dual of E18.1032
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 56 f = 14
	degree seq :: [ 14^8 ]

E18.1032 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 14})
Quotient :: regular
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
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, 110, 106, 112, 108, 111, 107, 109)
	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)
	local type(s) :: { ( 14^8 ) }
Outer automorphisms :: reflexible
Dual of E18.1031
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 56 f = 8
	degree seq :: [ 8^14 ]

E18.1033 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 14})
Quotient :: edge
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
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, 114)(115, 119)(116, 121)(117, 123)(118, 125)(120, 126)(122, 124)(127, 137)(128, 138)(129, 139)(130, 141)(131, 142)(132, 143)(133, 144)(134, 145)(135, 147)(136, 148)(140, 146)(149, 159)(150, 160)(151, 161)(152, 162)(153, 163)(154, 164)(155, 165)(156, 166)(157, 167)(158, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 193)(186, 194)(187, 195)(188, 196)(189, 197)(190, 198)(191, 199)(192, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 222)(218, 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) :: { ( 28, 28 ), ( 28^8 ) }
Outer automorphisms :: reflexible
Dual of E18.1037
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 112 f = 8
	degree seq :: [ 2^56, 8^14 ]

E18.1034 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 14})
Quotient :: edge
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^14 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 68, 84, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 79, 94, 80, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 71, 87, 97, 83, 67, 51, 35, 20, 9)(6, 15, 29, 45, 61, 77, 92, 104, 93, 78, 62, 46, 30, 16)(12, 19, 34, 50, 66, 82, 96, 106, 99, 86, 70, 54, 38, 22)(14, 27, 43, 59, 75, 90, 102, 110, 103, 91, 76, 60, 44, 28)(24, 37, 53, 69, 85, 98, 107, 111, 105, 95, 81, 65, 49, 33)(26, 41, 57, 73, 88, 100, 108, 112, 109, 101, 89, 74, 58, 42)(113, 114, 118, 126, 138, 136, 124, 116)(115, 121, 131, 145, 153, 140, 127, 120)(117, 123, 134, 149, 154, 139, 128, 119)(122, 130, 141, 156, 169, 161, 146, 132)(125, 129, 142, 155, 170, 165, 150, 135)(133, 147, 162, 177, 185, 172, 157, 144)(137, 151, 166, 181, 186, 171, 158, 143)(148, 160, 173, 188, 200, 193, 178, 163)(152, 159, 174, 187, 201, 197, 182, 167)(164, 179, 194, 207, 212, 203, 189, 176)(168, 183, 198, 210, 213, 202, 190, 175)(180, 192, 204, 215, 220, 217, 208, 195)(184, 191, 205, 214, 221, 219, 211, 199)(196, 209, 218, 223, 224, 222, 216, 206)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^8 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E18.1038
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 112 f = 56
	degree seq :: [ 8^14, 14^8 ]

E18.1035 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 14})
Quotient :: edge
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
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, 98)(83, 99)(84, 97)(86, 100)(88, 102)(90, 104)(95, 105)(96, 106)(101, 108)(103, 110)(107, 111)(109, 112)(113, 114, 117, 123, 132, 144, 159, 177, 176, 158, 143, 131, 122, 116)(115, 119, 127, 137, 151, 167, 187, 198, 178, 161, 145, 134, 124, 120)(118, 125, 121, 130, 141, 156, 173, 194, 197, 179, 160, 146, 133, 126)(128, 138, 129, 140, 147, 163, 180, 200, 212, 207, 188, 168, 152, 139)(135, 148, 136, 150, 162, 181, 199, 213, 210, 195, 174, 157, 142, 149)(153, 169, 154, 171, 189, 208, 217, 221, 214, 202, 182, 172, 155, 170)(164, 183, 165, 185, 175, 196, 211, 219, 220, 215, 201, 186, 166, 184)(190, 203, 191, 204, 193, 206, 216, 222, 224, 223, 218, 209, 192, 205)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 16, 16 ), ( 16^14 ) }
Outer automorphisms :: reflexible
Dual of E18.1036
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 112 f = 14
	degree seq :: [ 2^56, 14^8 ]

E18.1036 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 14})
Quotient :: loop
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
Map::
	R = (1, 113, 3, 115, 8, 120, 17, 129, 28, 140, 19, 131, 10, 122, 4, 116)(2, 114, 5, 117, 12, 124, 22, 134, 34, 146, 24, 136, 14, 126, 6, 118)(7, 119, 15, 127, 9, 121, 18, 130, 30, 142, 40, 152, 27, 139, 16, 128)(11, 123, 20, 132, 13, 125, 23, 135, 36, 148, 45, 157, 33, 145, 21, 133)(25, 137, 37, 149, 26, 138, 39, 151, 50, 162, 41, 153, 29, 141, 38, 150)(31, 143, 42, 154, 32, 144, 44, 156, 55, 167, 46, 158, 35, 147, 43, 155)(47, 159, 57, 169, 48, 160, 59, 171, 51, 163, 60, 172, 49, 161, 58, 170)(52, 164, 61, 173, 53, 165, 63, 175, 56, 168, 64, 176, 54, 166, 62, 174)(65, 177, 73, 185, 66, 178, 75, 187, 68, 180, 76, 188, 67, 179, 74, 186)(69, 181, 77, 189, 70, 182, 79, 191, 72, 184, 80, 192, 71, 183, 78, 190)(81, 193, 89, 201, 82, 194, 91, 203, 84, 196, 92, 204, 83, 195, 90, 202)(85, 197, 93, 205, 86, 198, 95, 207, 88, 200, 96, 208, 87, 199, 94, 206)(97, 209, 105, 217, 98, 210, 107, 219, 100, 212, 108, 220, 99, 211, 106, 218)(101, 213, 109, 221, 102, 214, 111, 223, 104, 216, 112, 224, 103, 215, 110, 222)
	L = (1, 114)(2, 113)(3, 119)(4, 121)(5, 123)(6, 125)(7, 115)(8, 126)(9, 116)(10, 124)(11, 117)(12, 122)(13, 118)(14, 120)(15, 137)(16, 138)(17, 139)(18, 141)(19, 142)(20, 143)(21, 144)(22, 145)(23, 147)(24, 148)(25, 127)(26, 128)(27, 129)(28, 146)(29, 130)(30, 131)(31, 132)(32, 133)(33, 134)(34, 140)(35, 135)(36, 136)(37, 159)(38, 160)(39, 161)(40, 162)(41, 163)(42, 164)(43, 165)(44, 166)(45, 167)(46, 168)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 169)(66, 170)(67, 171)(68, 172)(69, 173)(70, 174)(71, 175)(72, 176)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 185)(82, 186)(83, 187)(84, 188)(85, 189)(86, 190)(87, 191)(88, 192)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(105, 222)(106, 221)(107, 224)(108, 223)(109, 218)(110, 217)(111, 220)(112, 219)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.1035
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 14 e = 112 f = 64
	degree seq :: [ 16^14 ]

E18.1037 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 14})
Quotient :: loop
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^8, T2^14 ]
Map::
	R = (1, 113, 3, 115, 10, 122, 21, 133, 36, 148, 52, 164, 68, 180, 84, 196, 72, 184, 56, 168, 40, 152, 25, 137, 13, 125, 5, 117)(2, 114, 7, 119, 17, 129, 31, 143, 47, 159, 63, 175, 79, 191, 94, 206, 80, 192, 64, 176, 48, 160, 32, 144, 18, 130, 8, 120)(4, 116, 11, 123, 23, 135, 39, 151, 55, 167, 71, 183, 87, 199, 97, 209, 83, 195, 67, 179, 51, 163, 35, 147, 20, 132, 9, 121)(6, 118, 15, 127, 29, 141, 45, 157, 61, 173, 77, 189, 92, 204, 104, 216, 93, 205, 78, 190, 62, 174, 46, 158, 30, 142, 16, 128)(12, 124, 19, 131, 34, 146, 50, 162, 66, 178, 82, 194, 96, 208, 106, 218, 99, 211, 86, 198, 70, 182, 54, 166, 38, 150, 22, 134)(14, 126, 27, 139, 43, 155, 59, 171, 75, 187, 90, 202, 102, 214, 110, 222, 103, 215, 91, 203, 76, 188, 60, 172, 44, 156, 28, 140)(24, 136, 37, 149, 53, 165, 69, 181, 85, 197, 98, 210, 107, 219, 111, 223, 105, 217, 95, 207, 81, 193, 65, 177, 49, 161, 33, 145)(26, 138, 41, 153, 57, 169, 73, 185, 88, 200, 100, 212, 108, 220, 112, 224, 109, 221, 101, 213, 89, 201, 74, 186, 58, 170, 42, 154)
	L = (1, 114)(2, 118)(3, 121)(4, 113)(5, 123)(6, 126)(7, 117)(8, 115)(9, 131)(10, 130)(11, 134)(12, 116)(13, 129)(14, 138)(15, 120)(16, 119)(17, 142)(18, 141)(19, 145)(20, 122)(21, 147)(22, 149)(23, 125)(24, 124)(25, 151)(26, 136)(27, 128)(28, 127)(29, 156)(30, 155)(31, 137)(32, 133)(33, 153)(34, 132)(35, 162)(36, 160)(37, 154)(38, 135)(39, 166)(40, 159)(41, 140)(42, 139)(43, 170)(44, 169)(45, 144)(46, 143)(47, 174)(48, 173)(49, 146)(50, 177)(51, 148)(52, 179)(53, 150)(54, 181)(55, 152)(56, 183)(57, 161)(58, 165)(59, 158)(60, 157)(61, 188)(62, 187)(63, 168)(64, 164)(65, 185)(66, 163)(67, 194)(68, 192)(69, 186)(70, 167)(71, 198)(72, 191)(73, 172)(74, 171)(75, 201)(76, 200)(77, 176)(78, 175)(79, 205)(80, 204)(81, 178)(82, 207)(83, 180)(84, 209)(85, 182)(86, 210)(87, 184)(88, 193)(89, 197)(90, 190)(91, 189)(92, 215)(93, 214)(94, 196)(95, 212)(96, 195)(97, 218)(98, 213)(99, 199)(100, 203)(101, 202)(102, 221)(103, 220)(104, 206)(105, 208)(106, 223)(107, 211)(108, 217)(109, 219)(110, 216)(111, 224)(112, 222)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E18.1033
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 112 f = 70
	degree seq :: [ 28^8 ]

E18.1038 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 14})
Quotient :: loop
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|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 ]
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, 15, 127)(11, 123, 21, 133)(13, 125, 23, 135)(14, 126, 24, 136)(18, 130, 30, 142)(19, 131, 29, 141)(20, 132, 33, 145)(22, 134, 35, 147)(25, 137, 40, 152)(26, 138, 41, 153)(27, 139, 42, 154)(28, 140, 43, 155)(31, 143, 39, 151)(32, 144, 48, 160)(34, 146, 50, 162)(36, 148, 52, 164)(37, 149, 53, 165)(38, 150, 54, 166)(44, 156, 62, 174)(45, 157, 63, 175)(46, 158, 61, 173)(47, 159, 66, 178)(49, 161, 68, 180)(51, 163, 70, 182)(55, 167, 76, 188)(56, 168, 77, 189)(57, 169, 78, 190)(58, 170, 79, 191)(59, 171, 80, 192)(60, 172, 81, 193)(64, 176, 75, 187)(65, 177, 85, 197)(67, 179, 87, 199)(69, 181, 89, 201)(71, 183, 91, 203)(72, 184, 92, 204)(73, 185, 93, 205)(74, 186, 94, 206)(82, 194, 98, 210)(83, 195, 99, 211)(84, 196, 97, 209)(86, 198, 100, 212)(88, 200, 102, 214)(90, 202, 104, 216)(95, 207, 105, 217)(96, 208, 106, 218)(101, 213, 108, 220)(103, 215, 110, 222)(107, 219, 111, 223)(109, 221, 112, 224)
	L = (1, 114)(2, 117)(3, 119)(4, 113)(5, 123)(6, 125)(7, 127)(8, 115)(9, 130)(10, 116)(11, 132)(12, 120)(13, 121)(14, 118)(15, 137)(16, 138)(17, 140)(18, 141)(19, 122)(20, 144)(21, 126)(22, 124)(23, 148)(24, 150)(25, 151)(26, 129)(27, 128)(28, 147)(29, 156)(30, 149)(31, 131)(32, 159)(33, 134)(34, 133)(35, 163)(36, 136)(37, 135)(38, 162)(39, 167)(40, 139)(41, 169)(42, 171)(43, 170)(44, 173)(45, 142)(46, 143)(47, 177)(48, 146)(49, 145)(50, 181)(51, 180)(52, 183)(53, 185)(54, 184)(55, 187)(56, 152)(57, 154)(58, 153)(59, 189)(60, 155)(61, 194)(62, 157)(63, 196)(64, 158)(65, 176)(66, 161)(67, 160)(68, 200)(69, 199)(70, 172)(71, 165)(72, 164)(73, 175)(74, 166)(75, 198)(76, 168)(77, 208)(78, 203)(79, 204)(80, 205)(81, 206)(82, 197)(83, 174)(84, 211)(85, 179)(86, 178)(87, 213)(88, 212)(89, 186)(90, 182)(91, 191)(92, 193)(93, 190)(94, 216)(95, 188)(96, 217)(97, 192)(98, 195)(99, 219)(100, 207)(101, 210)(102, 202)(103, 201)(104, 222)(105, 221)(106, 209)(107, 220)(108, 215)(109, 214)(110, 224)(111, 218)(112, 223)
	local type(s) :: { ( 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E18.1034
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 56 e = 112 f = 22
	degree seq :: [ 4^56 ]

E18.1039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2)^2, Y2^8, (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, 14, 126)(10, 122, 12, 124)(15, 127, 25, 137)(16, 128, 26, 138)(17, 129, 27, 139)(18, 130, 29, 141)(19, 131, 30, 142)(20, 132, 31, 143)(21, 133, 32, 144)(22, 134, 33, 145)(23, 135, 35, 147)(24, 136, 36, 148)(28, 140, 34, 146)(37, 149, 47, 159)(38, 150, 48, 160)(39, 151, 49, 161)(40, 152, 50, 162)(41, 153, 51, 163)(42, 154, 52, 164)(43, 155, 53, 165)(44, 156, 54, 166)(45, 157, 55, 167)(46, 158, 56, 168)(57, 169, 65, 177)(58, 170, 66, 178)(59, 171, 67, 179)(60, 172, 68, 180)(61, 173, 69, 181)(62, 174, 70, 182)(63, 175, 71, 183)(64, 176, 72, 184)(73, 185, 81, 193)(74, 186, 82, 194)(75, 187, 83, 195)(76, 188, 84, 196)(77, 189, 85, 197)(78, 190, 86, 198)(79, 191, 87, 199)(80, 192, 88, 200)(89, 201, 97, 209)(90, 202, 98, 210)(91, 203, 99, 211)(92, 204, 100, 212)(93, 205, 101, 213)(94, 206, 102, 214)(95, 207, 103, 215)(96, 208, 104, 216)(105, 217, 110, 222)(106, 218, 109, 221)(107, 219, 112, 224)(108, 220, 111, 223)(225, 337, 227, 339, 232, 344, 241, 353, 252, 364, 243, 355, 234, 346, 228, 340)(226, 338, 229, 341, 236, 348, 246, 358, 258, 370, 248, 360, 238, 350, 230, 342)(231, 343, 239, 351, 233, 345, 242, 354, 254, 366, 264, 376, 251, 363, 240, 352)(235, 347, 244, 356, 237, 349, 247, 359, 260, 372, 269, 381, 257, 369, 245, 357)(249, 361, 261, 373, 250, 362, 263, 375, 274, 386, 265, 377, 253, 365, 262, 374)(255, 367, 266, 378, 256, 368, 268, 380, 279, 391, 270, 382, 259, 371, 267, 379)(271, 383, 281, 393, 272, 384, 283, 395, 275, 387, 284, 396, 273, 385, 282, 394)(276, 388, 285, 397, 277, 389, 287, 399, 280, 392, 288, 400, 278, 390, 286, 398)(289, 401, 297, 409, 290, 402, 299, 411, 292, 404, 300, 412, 291, 403, 298, 410)(293, 405, 301, 413, 294, 406, 303, 415, 296, 408, 304, 416, 295, 407, 302, 414)(305, 417, 313, 425, 306, 418, 315, 427, 308, 420, 316, 428, 307, 419, 314, 426)(309, 421, 317, 429, 310, 422, 319, 431, 312, 424, 320, 432, 311, 423, 318, 430)(321, 433, 329, 441, 322, 434, 331, 443, 324, 436, 332, 444, 323, 435, 330, 442)(325, 437, 333, 445, 326, 438, 335, 447, 328, 440, 336, 448, 327, 439, 334, 446)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 238)(9, 228)(10, 236)(11, 229)(12, 234)(13, 230)(14, 232)(15, 249)(16, 250)(17, 251)(18, 253)(19, 254)(20, 255)(21, 256)(22, 257)(23, 259)(24, 260)(25, 239)(26, 240)(27, 241)(28, 258)(29, 242)(30, 243)(31, 244)(32, 245)(33, 246)(34, 252)(35, 247)(36, 248)(37, 271)(38, 272)(39, 273)(40, 274)(41, 275)(42, 276)(43, 277)(44, 278)(45, 279)(46, 280)(47, 261)(48, 262)(49, 263)(50, 264)(51, 265)(52, 266)(53, 267)(54, 268)(55, 269)(56, 270)(57, 289)(58, 290)(59, 291)(60, 292)(61, 293)(62, 294)(63, 295)(64, 296)(65, 281)(66, 282)(67, 283)(68, 284)(69, 285)(70, 286)(71, 287)(72, 288)(73, 305)(74, 306)(75, 307)(76, 308)(77, 309)(78, 310)(79, 311)(80, 312)(81, 297)(82, 298)(83, 299)(84, 300)(85, 301)(86, 302)(87, 303)(88, 304)(89, 321)(90, 322)(91, 323)(92, 324)(93, 325)(94, 326)(95, 327)(96, 328)(97, 313)(98, 314)(99, 315)(100, 316)(101, 317)(102, 318)(103, 319)(104, 320)(105, 334)(106, 333)(107, 336)(108, 335)(109, 330)(110, 329)(111, 332)(112, 331)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 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 E18.1042
Graph:: bipartite
	v = 70 e = 224 f = 120
	degree seq :: [ 4^56, 16^14 ]

E18.1040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^8, Y2^14 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 14, 126, 26, 138, 24, 136, 12, 124, 4, 116)(3, 115, 9, 121, 19, 131, 33, 145, 41, 153, 28, 140, 15, 127, 8, 120)(5, 117, 11, 123, 22, 134, 37, 149, 42, 154, 27, 139, 16, 128, 7, 119)(10, 122, 18, 130, 29, 141, 44, 156, 57, 169, 49, 161, 34, 146, 20, 132)(13, 125, 17, 129, 30, 142, 43, 155, 58, 170, 53, 165, 38, 150, 23, 135)(21, 133, 35, 147, 50, 162, 65, 177, 73, 185, 60, 172, 45, 157, 32, 144)(25, 137, 39, 151, 54, 166, 69, 181, 74, 186, 59, 171, 46, 158, 31, 143)(36, 148, 48, 160, 61, 173, 76, 188, 88, 200, 81, 193, 66, 178, 51, 163)(40, 152, 47, 159, 62, 174, 75, 187, 89, 201, 85, 197, 70, 182, 55, 167)(52, 164, 67, 179, 82, 194, 95, 207, 100, 212, 91, 203, 77, 189, 64, 176)(56, 168, 71, 183, 86, 198, 98, 210, 101, 213, 90, 202, 78, 190, 63, 175)(68, 180, 80, 192, 92, 204, 103, 215, 108, 220, 105, 217, 96, 208, 83, 195)(72, 184, 79, 191, 93, 205, 102, 214, 109, 221, 107, 219, 99, 211, 87, 199)(84, 196, 97, 209, 106, 218, 111, 223, 112, 224, 110, 222, 104, 216, 94, 206)(225, 337, 227, 339, 234, 346, 245, 357, 260, 372, 276, 388, 292, 404, 308, 420, 296, 408, 280, 392, 264, 376, 249, 361, 237, 349, 229, 341)(226, 338, 231, 343, 241, 353, 255, 367, 271, 383, 287, 399, 303, 415, 318, 430, 304, 416, 288, 400, 272, 384, 256, 368, 242, 354, 232, 344)(228, 340, 235, 347, 247, 359, 263, 375, 279, 391, 295, 407, 311, 423, 321, 433, 307, 419, 291, 403, 275, 387, 259, 371, 244, 356, 233, 345)(230, 342, 239, 351, 253, 365, 269, 381, 285, 397, 301, 413, 316, 428, 328, 440, 317, 429, 302, 414, 286, 398, 270, 382, 254, 366, 240, 352)(236, 348, 243, 355, 258, 370, 274, 386, 290, 402, 306, 418, 320, 432, 330, 442, 323, 435, 310, 422, 294, 406, 278, 390, 262, 374, 246, 358)(238, 350, 251, 363, 267, 379, 283, 395, 299, 411, 314, 426, 326, 438, 334, 446, 327, 439, 315, 427, 300, 412, 284, 396, 268, 380, 252, 364)(248, 360, 261, 373, 277, 389, 293, 405, 309, 421, 322, 434, 331, 443, 335, 447, 329, 441, 319, 431, 305, 417, 289, 401, 273, 385, 257, 369)(250, 362, 265, 377, 281, 393, 297, 409, 312, 424, 324, 436, 332, 444, 336, 448, 333, 445, 325, 437, 313, 425, 298, 410, 282, 394, 266, 378)
	L = (1, 227)(2, 231)(3, 234)(4, 235)(5, 225)(6, 239)(7, 241)(8, 226)(9, 228)(10, 245)(11, 247)(12, 243)(13, 229)(14, 251)(15, 253)(16, 230)(17, 255)(18, 232)(19, 258)(20, 233)(21, 260)(22, 236)(23, 263)(24, 261)(25, 237)(26, 265)(27, 267)(28, 238)(29, 269)(30, 240)(31, 271)(32, 242)(33, 248)(34, 274)(35, 244)(36, 276)(37, 277)(38, 246)(39, 279)(40, 249)(41, 281)(42, 250)(43, 283)(44, 252)(45, 285)(46, 254)(47, 287)(48, 256)(49, 257)(50, 290)(51, 259)(52, 292)(53, 293)(54, 262)(55, 295)(56, 264)(57, 297)(58, 266)(59, 299)(60, 268)(61, 301)(62, 270)(63, 303)(64, 272)(65, 273)(66, 306)(67, 275)(68, 308)(69, 309)(70, 278)(71, 311)(72, 280)(73, 312)(74, 282)(75, 314)(76, 284)(77, 316)(78, 286)(79, 318)(80, 288)(81, 289)(82, 320)(83, 291)(84, 296)(85, 322)(86, 294)(87, 321)(88, 324)(89, 298)(90, 326)(91, 300)(92, 328)(93, 302)(94, 304)(95, 305)(96, 330)(97, 307)(98, 331)(99, 310)(100, 332)(101, 313)(102, 334)(103, 315)(104, 317)(105, 319)(106, 323)(107, 335)(108, 336)(109, 325)(110, 327)(111, 329)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 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 E18.1041
Graph:: bipartite
	v = 22 e = 224 f = 168
	degree seq :: [ 16^14, 28^8 ]

E18.1041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^14 ]
Map:: polytopal
	R = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)(225, 337, 226, 338)(227, 339, 231, 343)(228, 340, 233, 345)(229, 341, 235, 347)(230, 342, 237, 349)(232, 344, 238, 350)(234, 346, 236, 348)(239, 351, 249, 361)(240, 352, 250, 362)(241, 353, 251, 363)(242, 354, 253, 365)(243, 355, 254, 366)(244, 356, 256, 368)(245, 357, 257, 369)(246, 358, 258, 370)(247, 359, 260, 372)(248, 360, 261, 373)(252, 364, 262, 374)(255, 367, 259, 371)(263, 375, 279, 391)(264, 376, 280, 392)(265, 377, 281, 393)(266, 378, 282, 394)(267, 379, 283, 395)(268, 380, 285, 397)(269, 381, 286, 398)(270, 382, 287, 399)(271, 383, 289, 401)(272, 384, 290, 402)(273, 385, 291, 403)(274, 386, 292, 404)(275, 387, 293, 405)(276, 388, 295, 407)(277, 389, 296, 408)(278, 390, 297, 409)(284, 396, 298, 410)(288, 400, 294, 406)(299, 411, 309, 421)(300, 412, 311, 423)(301, 413, 310, 422)(302, 414, 316, 428)(303, 415, 319, 431)(304, 416, 320, 432)(305, 417, 321, 433)(306, 418, 312, 424)(307, 419, 322, 434)(308, 420, 323, 435)(313, 425, 324, 436)(314, 426, 325, 437)(315, 427, 326, 438)(317, 429, 327, 439)(318, 430, 328, 440)(329, 441, 334, 446)(330, 442, 335, 447)(331, 443, 332, 444)(333, 445, 336, 448)
	L = (1, 227)(2, 229)(3, 232)(4, 225)(5, 236)(6, 226)(7, 239)(8, 241)(9, 242)(10, 228)(11, 244)(12, 246)(13, 247)(14, 230)(15, 233)(16, 231)(17, 252)(18, 254)(19, 234)(20, 237)(21, 235)(22, 259)(23, 261)(24, 238)(25, 263)(26, 265)(27, 240)(28, 267)(29, 264)(30, 269)(31, 243)(32, 271)(33, 273)(34, 245)(35, 275)(36, 272)(37, 277)(38, 248)(39, 250)(40, 249)(41, 282)(42, 251)(43, 284)(44, 253)(45, 287)(46, 255)(47, 257)(48, 256)(49, 292)(50, 258)(51, 294)(52, 260)(53, 297)(54, 262)(55, 299)(56, 301)(57, 300)(58, 303)(59, 266)(60, 305)(61, 306)(62, 268)(63, 308)(64, 270)(65, 309)(66, 311)(67, 310)(68, 313)(69, 274)(70, 315)(71, 316)(72, 276)(73, 318)(74, 278)(75, 280)(76, 279)(77, 285)(78, 281)(79, 320)(80, 283)(81, 288)(82, 322)(83, 286)(84, 321)(85, 290)(86, 289)(87, 295)(88, 291)(89, 325)(90, 293)(91, 298)(92, 327)(93, 296)(94, 326)(95, 302)(96, 330)(97, 304)(98, 331)(99, 307)(100, 312)(101, 333)(102, 314)(103, 334)(104, 317)(105, 319)(106, 323)(107, 335)(108, 324)(109, 328)(110, 336)(111, 329)(112, 332)(113, 337)(114, 338)(115, 339)(116, 340)(117, 341)(118, 342)(119, 343)(120, 344)(121, 345)(122, 346)(123, 347)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 353)(130, 354)(131, 355)(132, 356)(133, 357)(134, 358)(135, 359)(136, 360)(137, 361)(138, 362)(139, 363)(140, 364)(141, 365)(142, 366)(143, 367)(144, 368)(145, 369)(146, 370)(147, 371)(148, 372)(149, 373)(150, 374)(151, 375)(152, 376)(153, 377)(154, 378)(155, 379)(156, 380)(157, 381)(158, 382)(159, 383)(160, 384)(161, 385)(162, 386)(163, 387)(164, 388)(165, 389)(166, 390)(167, 391)(168, 392)(169, 393)(170, 394)(171, 395)(172, 396)(173, 397)(174, 398)(175, 399)(176, 400)(177, 401)(178, 402)(179, 403)(180, 404)(181, 405)(182, 406)(183, 407)(184, 408)(185, 409)(186, 410)(187, 411)(188, 412)(189, 413)(190, 414)(191, 415)(192, 416)(193, 417)(194, 418)(195, 419)(196, 420)(197, 421)(198, 422)(199, 423)(200, 424)(201, 425)(202, 426)(203, 427)(204, 428)(205, 429)(206, 430)(207, 431)(208, 432)(209, 433)(210, 434)(211, 435)(212, 436)(213, 437)(214, 438)(215, 439)(216, 440)(217, 441)(218, 442)(219, 443)(220, 444)(221, 445)(222, 446)(223, 447)(224, 448)
	local type(s) :: { ( 16, 28 ), ( 16, 28, 16, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.1040
Graph:: simple bipartite
	v = 168 e = 224 f = 22
	degree seq :: [ 2^112, 4^56 ]

E18.1042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, Y1^14, (Y3^-1 * Y1)^8 ]
Map:: polytopal
	R = (1, 113, 2, 114, 5, 117, 11, 123, 20, 132, 32, 144, 47, 159, 65, 177, 64, 176, 46, 158, 31, 143, 19, 131, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 25, 137, 39, 151, 55, 167, 75, 187, 86, 198, 66, 178, 49, 161, 33, 145, 22, 134, 12, 124, 8, 120)(6, 118, 13, 125, 9, 121, 18, 130, 29, 141, 44, 156, 61, 173, 82, 194, 85, 197, 67, 179, 48, 160, 34, 146, 21, 133, 14, 126)(16, 128, 26, 138, 17, 129, 28, 140, 35, 147, 51, 163, 68, 180, 88, 200, 100, 212, 95, 207, 76, 188, 56, 168, 40, 152, 27, 139)(23, 135, 36, 148, 24, 136, 38, 150, 50, 162, 69, 181, 87, 199, 101, 213, 98, 210, 83, 195, 62, 174, 45, 157, 30, 142, 37, 149)(41, 153, 57, 169, 42, 154, 59, 171, 77, 189, 96, 208, 105, 217, 109, 221, 102, 214, 90, 202, 70, 182, 60, 172, 43, 155, 58, 170)(52, 164, 71, 183, 53, 165, 73, 185, 63, 175, 84, 196, 99, 211, 107, 219, 108, 220, 103, 215, 89, 201, 74, 186, 54, 166, 72, 184)(78, 190, 91, 203, 79, 191, 92, 204, 81, 193, 94, 206, 104, 216, 110, 222, 112, 224, 111, 223, 106, 218, 97, 209, 80, 192, 93, 205)(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, 239)(11, 245)(12, 229)(13, 247)(14, 248)(15, 234)(16, 231)(17, 232)(18, 254)(19, 253)(20, 257)(21, 235)(22, 259)(23, 237)(24, 238)(25, 264)(26, 265)(27, 266)(28, 267)(29, 243)(30, 242)(31, 263)(32, 272)(33, 244)(34, 274)(35, 246)(36, 276)(37, 277)(38, 278)(39, 255)(40, 249)(41, 250)(42, 251)(43, 252)(44, 286)(45, 287)(46, 285)(47, 290)(48, 256)(49, 292)(50, 258)(51, 294)(52, 260)(53, 261)(54, 262)(55, 300)(56, 301)(57, 302)(58, 303)(59, 304)(60, 305)(61, 270)(62, 268)(63, 269)(64, 299)(65, 309)(66, 271)(67, 311)(68, 273)(69, 313)(70, 275)(71, 315)(72, 316)(73, 317)(74, 318)(75, 288)(76, 279)(77, 280)(78, 281)(79, 282)(80, 283)(81, 284)(82, 322)(83, 323)(84, 321)(85, 289)(86, 324)(87, 291)(88, 326)(89, 293)(90, 328)(91, 295)(92, 296)(93, 297)(94, 298)(95, 329)(96, 330)(97, 308)(98, 306)(99, 307)(100, 310)(101, 332)(102, 312)(103, 334)(104, 314)(105, 319)(106, 320)(107, 335)(108, 325)(109, 336)(110, 327)(111, 331)(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) :: { ( 4, 16 ), ( 4, 16, 4, 16, 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 E18.1039
Graph:: simple bipartite
	v = 120 e = 224 f = 70
	degree seq :: [ 2^112, 28^8 ]

E18.1043 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^14, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 14, 126)(10, 122, 12, 124)(15, 127, 25, 137)(16, 128, 26, 138)(17, 129, 27, 139)(18, 130, 29, 141)(19, 131, 30, 142)(20, 132, 32, 144)(21, 133, 33, 145)(22, 134, 34, 146)(23, 135, 36, 148)(24, 136, 37, 149)(28, 140, 38, 150)(31, 143, 35, 147)(39, 151, 55, 167)(40, 152, 56, 168)(41, 153, 57, 169)(42, 154, 58, 170)(43, 155, 59, 171)(44, 156, 61, 173)(45, 157, 62, 174)(46, 158, 63, 175)(47, 159, 65, 177)(48, 160, 66, 178)(49, 161, 67, 179)(50, 162, 68, 180)(51, 163, 69, 181)(52, 164, 71, 183)(53, 165, 72, 184)(54, 166, 73, 185)(60, 172, 74, 186)(64, 176, 70, 182)(75, 187, 85, 197)(76, 188, 87, 199)(77, 189, 86, 198)(78, 190, 92, 204)(79, 191, 95, 207)(80, 192, 96, 208)(81, 193, 97, 209)(82, 194, 88, 200)(83, 195, 98, 210)(84, 196, 99, 211)(89, 201, 100, 212)(90, 202, 101, 213)(91, 203, 102, 214)(93, 205, 103, 215)(94, 206, 104, 216)(105, 217, 110, 222)(106, 218, 111, 223)(107, 219, 108, 220)(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, 233, 345, 242, 354, 254, 366, 269, 381, 287, 399, 308, 420, 321, 433, 304, 416, 283, 395, 266, 378, 251, 363, 240, 352)(235, 347, 244, 356, 237, 349, 247, 359, 261, 373, 277, 389, 297, 409, 318, 430, 326, 438, 314, 426, 293, 405, 274, 386, 258, 370, 245, 357)(249, 361, 263, 375, 250, 362, 265, 377, 282, 394, 303, 415, 320, 432, 330, 442, 323, 435, 307, 419, 286, 398, 268, 380, 253, 365, 264, 376)(256, 368, 271, 383, 257, 369, 273, 385, 292, 404, 313, 425, 325, 437, 333, 445, 328, 440, 317, 429, 296, 408, 276, 388, 260, 372, 272, 384)(279, 391, 299, 411, 280, 392, 301, 413, 285, 397, 306, 418, 322, 434, 331, 443, 335, 447, 329, 441, 319, 431, 302, 414, 281, 393, 300, 412)(289, 401, 309, 421, 290, 402, 311, 423, 295, 407, 316, 428, 327, 439, 334, 446, 336, 448, 332, 444, 324, 436, 312, 424, 291, 403, 310, 422)
	L = (1, 226)(2, 225)(3, 231)(4, 233)(5, 235)(6, 237)(7, 227)(8, 238)(9, 228)(10, 236)(11, 229)(12, 234)(13, 230)(14, 232)(15, 249)(16, 250)(17, 251)(18, 253)(19, 254)(20, 256)(21, 257)(22, 258)(23, 260)(24, 261)(25, 239)(26, 240)(27, 241)(28, 262)(29, 242)(30, 243)(31, 259)(32, 244)(33, 245)(34, 246)(35, 255)(36, 247)(37, 248)(38, 252)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 285)(45, 286)(46, 287)(47, 289)(48, 290)(49, 291)(50, 292)(51, 293)(52, 295)(53, 296)(54, 297)(55, 263)(56, 264)(57, 265)(58, 266)(59, 267)(60, 298)(61, 268)(62, 269)(63, 270)(64, 294)(65, 271)(66, 272)(67, 273)(68, 274)(69, 275)(70, 288)(71, 276)(72, 277)(73, 278)(74, 284)(75, 309)(76, 311)(77, 310)(78, 316)(79, 319)(80, 320)(81, 321)(82, 312)(83, 322)(84, 323)(85, 299)(86, 301)(87, 300)(88, 306)(89, 324)(90, 325)(91, 326)(92, 302)(93, 327)(94, 328)(95, 303)(96, 304)(97, 305)(98, 307)(99, 308)(100, 313)(101, 314)(102, 315)(103, 317)(104, 318)(105, 334)(106, 335)(107, 332)(108, 331)(109, 336)(110, 329)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 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 E18.1044
Graph:: bipartite
	v = 64 e = 224 f = 126
	degree seq :: [ 4^56, 28^8 ]

E18.1044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 14})
Quotient :: dipole
Aut^+ = (C7 x D8) : C2 (small group id <112, 14>)
Aut   = D16 x D14 (small group id <224, 105>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3 * Y2^-1)^14 ]
Map:: polytopal
	R = (1, 113, 2, 114, 6, 118, 14, 126, 26, 138, 24, 136, 12, 124, 4, 116)(3, 115, 9, 121, 19, 131, 33, 145, 41, 153, 28, 140, 15, 127, 8, 120)(5, 117, 11, 123, 22, 134, 37, 149, 42, 154, 27, 139, 16, 128, 7, 119)(10, 122, 18, 130, 29, 141, 44, 156, 57, 169, 49, 161, 34, 146, 20, 132)(13, 125, 17, 129, 30, 142, 43, 155, 58, 170, 53, 165, 38, 150, 23, 135)(21, 133, 35, 147, 50, 162, 65, 177, 73, 185, 60, 172, 45, 157, 32, 144)(25, 137, 39, 151, 54, 166, 69, 181, 74, 186, 59, 171, 46, 158, 31, 143)(36, 148, 48, 160, 61, 173, 76, 188, 88, 200, 81, 193, 66, 178, 51, 163)(40, 152, 47, 159, 62, 174, 75, 187, 89, 201, 85, 197, 70, 182, 55, 167)(52, 164, 67, 179, 82, 194, 95, 207, 100, 212, 91, 203, 77, 189, 64, 176)(56, 168, 71, 183, 86, 198, 98, 210, 101, 213, 90, 202, 78, 190, 63, 175)(68, 180, 80, 192, 92, 204, 103, 215, 108, 220, 105, 217, 96, 208, 83, 195)(72, 184, 79, 191, 93, 205, 102, 214, 109, 221, 107, 219, 99, 211, 87, 199)(84, 196, 97, 209, 106, 218, 111, 223, 112, 224, 110, 222, 104, 216, 94, 206)(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, 235)(5, 225)(6, 239)(7, 241)(8, 226)(9, 228)(10, 245)(11, 247)(12, 243)(13, 229)(14, 251)(15, 253)(16, 230)(17, 255)(18, 232)(19, 258)(20, 233)(21, 260)(22, 236)(23, 263)(24, 261)(25, 237)(26, 265)(27, 267)(28, 238)(29, 269)(30, 240)(31, 271)(32, 242)(33, 248)(34, 274)(35, 244)(36, 276)(37, 277)(38, 246)(39, 279)(40, 249)(41, 281)(42, 250)(43, 283)(44, 252)(45, 285)(46, 254)(47, 287)(48, 256)(49, 257)(50, 290)(51, 259)(52, 292)(53, 293)(54, 262)(55, 295)(56, 264)(57, 297)(58, 266)(59, 299)(60, 268)(61, 301)(62, 270)(63, 303)(64, 272)(65, 273)(66, 306)(67, 275)(68, 308)(69, 309)(70, 278)(71, 311)(72, 280)(73, 312)(74, 282)(75, 314)(76, 284)(77, 316)(78, 286)(79, 318)(80, 288)(81, 289)(82, 320)(83, 291)(84, 296)(85, 322)(86, 294)(87, 321)(88, 324)(89, 298)(90, 326)(91, 300)(92, 328)(93, 302)(94, 304)(95, 305)(96, 330)(97, 307)(98, 331)(99, 310)(100, 332)(101, 313)(102, 334)(103, 315)(104, 317)(105, 319)(106, 323)(107, 335)(108, 336)(109, 325)(110, 327)(111, 329)(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) :: { ( 4, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E18.1043
Graph:: simple bipartite
	v = 126 e = 224 f = 64
	degree seq :: [ 2^112, 16^14 ]

E18.1045 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 20})
Quotient :: regular
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^6, T1^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 67, 79, 91, 103, 108, 99, 86, 75, 62, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 58, 70, 82, 94, 106, 109, 98, 87, 74, 63, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 64, 77, 88, 101, 110, 117, 113, 104, 92, 80, 68, 56, 40, 27)(23, 36, 24, 38, 50, 65, 76, 89, 100, 111, 116, 115, 107, 95, 83, 71, 59, 45, 30, 37)(41, 53, 42, 57, 69, 81, 93, 105, 114, 119, 120, 118, 112, 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, 108)(99, 110)(101, 112)(103, 113)(104, 114)(109, 116)(111, 118)(115, 119)(117, 120)
	local type(s) :: { ( 6^20 ) }
Outer automorphisms :: reflexible
Dual of E18.1046
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 60 f = 20
	degree seq :: [ 20^6 ]

E18.1046 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 20})
Quotient :: regular
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^6, (T1 * T2)^20 ]
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, 79, 47, 81, 48, 83)(52, 85, 59, 97, 56, 87)(53, 88, 55, 92, 60, 90)(54, 91, 61, 105, 62, 94)(57, 98, 65, 102, 58, 100)(63, 108, 69, 112, 64, 110)(66, 114, 68, 118, 67, 116)(70, 115, 72, 117, 71, 119)(73, 111, 75, 120, 74, 109)(76, 101, 78, 113, 77, 99)(80, 93, 84, 107, 82, 106)(86, 89, 96, 104, 103, 95)
	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, 60)(51, 53)(52, 79)(54, 92)(56, 81)(57, 85)(58, 97)(59, 83)(61, 88)(62, 90)(63, 91)(64, 105)(65, 87)(66, 98)(67, 102)(68, 100)(69, 94)(70, 108)(71, 112)(72, 110)(73, 114)(74, 118)(75, 116)(76, 115)(77, 117)(78, 119)(80, 111)(82, 120)(84, 109)(86, 93)(89, 99)(95, 101)(96, 106)(103, 107)(104, 113)
	local type(s) :: { ( 20^6 ) }
Outer automorphisms :: reflexible
Dual of E18.1045
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 20 e = 60 f = 6
	degree seq :: [ 6^20 ]

E18.1047 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 20})
Quotient :: edge
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^20 ]
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, 85, 50, 86, 51, 87)(52, 89, 59, 97, 61, 90)(53, 91, 62, 93, 63, 92)(54, 94, 66, 96, 55, 95)(56, 98, 70, 100, 57, 99)(58, 101, 60, 102, 72, 88)(64, 103, 67, 105, 65, 104)(68, 106, 71, 108, 69, 107)(73, 109, 75, 111, 74, 110)(76, 112, 78, 114, 77, 113)(79, 115, 81, 117, 80, 116)(82, 118, 84, 120, 83, 119)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 134)(130, 132)(135, 143)(136, 144)(137, 145)(138, 146)(139, 147)(140, 148)(141, 149)(142, 150)(151, 157)(152, 158)(153, 159)(154, 160)(155, 161)(156, 162)(163, 169)(164, 170)(165, 171)(166, 178)(167, 180)(168, 192)(172, 208)(173, 207)(174, 213)(175, 212)(176, 217)(177, 210)(179, 222)(181, 221)(182, 206)(183, 205)(184, 216)(185, 215)(186, 211)(187, 214)(188, 220)(189, 219)(190, 209)(191, 218)(193, 225)(194, 224)(195, 223)(196, 228)(197, 227)(198, 226)(199, 231)(200, 230)(201, 229)(202, 234)(203, 233)(204, 232)(235, 240)(236, 239)(237, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 40, 40 ), ( 40^6 ) }
Outer automorphisms :: reflexible
Dual of E18.1051
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 120 f = 6
	degree seq :: [ 2^60, 6^20 ]

E18.1048 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 20})
Quotient :: edge
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^20 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 81, 93, 105, 96, 84, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 77, 89, 101, 112, 102, 90, 78, 66, 54, 42, 30, 18, 8)(4, 11, 23, 35, 47, 59, 71, 83, 95, 107, 114, 104, 92, 80, 68, 56, 44, 32, 20, 9)(6, 15, 27, 39, 51, 63, 75, 87, 99, 110, 118, 111, 100, 88, 76, 64, 52, 40, 28, 16)(12, 19, 31, 43, 55, 67, 79, 91, 103, 113, 119, 115, 106, 94, 82, 70, 58, 46, 34, 22)(14, 25, 37, 49, 61, 73, 85, 97, 108, 116, 120, 117, 109, 98, 86, 74, 62, 50, 38, 26)(121, 122, 126, 134, 132, 124)(123, 129, 139, 146, 135, 128)(125, 131, 142, 145, 136, 127)(130, 138, 147, 158, 151, 140)(133, 137, 148, 157, 154, 143)(141, 152, 163, 170, 159, 150)(144, 155, 166, 169, 160, 149)(153, 162, 171, 182, 175, 164)(156, 161, 172, 181, 178, 167)(165, 176, 187, 194, 183, 174)(168, 179, 190, 193, 184, 173)(177, 186, 195, 206, 199, 188)(180, 185, 196, 205, 202, 191)(189, 200, 211, 218, 207, 198)(192, 203, 214, 217, 208, 197)(201, 210, 219, 229, 223, 212)(204, 209, 220, 228, 226, 215)(213, 224, 233, 237, 230, 222)(216, 227, 235, 236, 231, 221)(225, 232, 238, 240, 239, 234)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^6 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E18.1052
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 120 f = 60
	degree seq :: [ 6^20, 20^6 ]

E18.1049 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 20})
Quotient :: edge
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T2 * T1)^6, T1^20 ]
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, 108)(99, 110)(101, 112)(103, 113)(104, 114)(109, 116)(111, 118)(115, 119)(117, 120)(121, 122, 125, 131, 140, 152, 167, 181, 193, 205, 217, 216, 204, 192, 180, 166, 151, 139, 130, 124)(123, 127, 135, 145, 159, 175, 187, 199, 211, 223, 228, 219, 206, 195, 182, 169, 153, 142, 132, 128)(126, 133, 129, 138, 149, 164, 178, 190, 202, 214, 226, 229, 218, 207, 194, 183, 168, 154, 141, 134)(136, 146, 137, 148, 155, 171, 184, 197, 208, 221, 230, 237, 233, 224, 212, 200, 188, 176, 160, 147)(143, 156, 144, 158, 170, 185, 196, 209, 220, 231, 236, 235, 227, 215, 203, 191, 179, 165, 150, 157)(161, 173, 162, 177, 189, 201, 213, 225, 234, 239, 240, 238, 232, 222, 210, 198, 186, 174, 163, 172)
	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, 12 ), ( 12^20 ) }
Outer automorphisms :: reflexible
Dual of E18.1050
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 120 f = 20
	degree seq :: [ 2^60, 20^6 ]

E18.1050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 20})
Quotient :: loop
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^20 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 17, 137, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 21, 141, 14, 134, 6, 126)(7, 127, 15, 135, 9, 129, 18, 138, 25, 145, 16, 136)(11, 131, 19, 139, 13, 133, 22, 142, 29, 149, 20, 140)(23, 143, 31, 151, 24, 144, 33, 153, 26, 146, 32, 152)(27, 147, 34, 154, 28, 148, 36, 156, 30, 150, 35, 155)(37, 157, 43, 163, 38, 158, 45, 165, 39, 159, 44, 164)(40, 160, 46, 166, 41, 161, 48, 168, 42, 162, 47, 167)(49, 169, 52, 172, 50, 170, 55, 175, 51, 171, 57, 177)(53, 173, 77, 197, 59, 179, 78, 198, 61, 181, 76, 196)(54, 174, 85, 205, 56, 176, 86, 206, 64, 184, 82, 202)(58, 178, 89, 209, 60, 180, 90, 210, 68, 188, 83, 203)(62, 182, 93, 213, 63, 183, 87, 207, 65, 185, 84, 204)(66, 186, 97, 217, 67, 187, 91, 211, 69, 189, 88, 208)(70, 190, 95, 215, 71, 191, 94, 214, 72, 192, 92, 212)(73, 193, 99, 219, 74, 194, 98, 218, 75, 195, 96, 216)(79, 199, 102, 222, 80, 200, 101, 221, 81, 201, 100, 220)(103, 223, 106, 226, 105, 225, 108, 228, 104, 224, 107, 227)(109, 229, 112, 232, 111, 231, 118, 238, 110, 230, 113, 233)(114, 234, 116, 236, 120, 240, 119, 239, 115, 235, 117, 237)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 134)(9, 124)(10, 132)(11, 125)(12, 130)(13, 126)(14, 128)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 151)(38, 152)(39, 153)(40, 154)(41, 155)(42, 156)(43, 169)(44, 170)(45, 171)(46, 196)(47, 197)(48, 198)(49, 163)(50, 164)(51, 165)(52, 202)(53, 203)(54, 204)(55, 206)(56, 207)(57, 205)(58, 208)(59, 210)(60, 211)(61, 209)(62, 212)(63, 214)(64, 213)(65, 215)(66, 216)(67, 218)(68, 217)(69, 219)(70, 220)(71, 221)(72, 222)(73, 223)(74, 224)(75, 225)(76, 166)(77, 167)(78, 168)(79, 229)(80, 230)(81, 231)(82, 172)(83, 173)(84, 174)(85, 177)(86, 175)(87, 176)(88, 178)(89, 181)(90, 179)(91, 180)(92, 182)(93, 184)(94, 183)(95, 185)(96, 186)(97, 188)(98, 187)(99, 189)(100, 190)(101, 191)(102, 192)(103, 193)(104, 194)(105, 195)(106, 237)(107, 236)(108, 239)(109, 199)(110, 200)(111, 201)(112, 234)(113, 240)(114, 232)(115, 238)(116, 227)(117, 226)(118, 235)(119, 228)(120, 233)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.1049
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 120 f = 66
	degree seq :: [ 12^20 ]

E18.1051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 20})
Quotient :: loop
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^20 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 21, 141, 33, 153, 45, 165, 57, 177, 69, 189, 81, 201, 93, 213, 105, 225, 96, 216, 84, 204, 72, 192, 60, 180, 48, 168, 36, 156, 24, 144, 13, 133, 5, 125)(2, 122, 7, 127, 17, 137, 29, 149, 41, 161, 53, 173, 65, 185, 77, 197, 89, 209, 101, 221, 112, 232, 102, 222, 90, 210, 78, 198, 66, 186, 54, 174, 42, 162, 30, 150, 18, 138, 8, 128)(4, 124, 11, 131, 23, 143, 35, 155, 47, 167, 59, 179, 71, 191, 83, 203, 95, 215, 107, 227, 114, 234, 104, 224, 92, 212, 80, 200, 68, 188, 56, 176, 44, 164, 32, 152, 20, 140, 9, 129)(6, 126, 15, 135, 27, 147, 39, 159, 51, 171, 63, 183, 75, 195, 87, 207, 99, 219, 110, 230, 118, 238, 111, 231, 100, 220, 88, 208, 76, 196, 64, 184, 52, 172, 40, 160, 28, 148, 16, 136)(12, 132, 19, 139, 31, 151, 43, 163, 55, 175, 67, 187, 79, 199, 91, 211, 103, 223, 113, 233, 119, 239, 115, 235, 106, 226, 94, 214, 82, 202, 70, 190, 58, 178, 46, 166, 34, 154, 22, 142)(14, 134, 25, 145, 37, 157, 49, 169, 61, 181, 73, 193, 85, 205, 97, 217, 108, 228, 116, 236, 120, 240, 117, 237, 109, 229, 98, 218, 86, 206, 74, 194, 62, 182, 50, 170, 38, 158, 26, 146)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 131)(6, 134)(7, 125)(8, 123)(9, 139)(10, 138)(11, 142)(12, 124)(13, 137)(14, 132)(15, 128)(16, 127)(17, 148)(18, 147)(19, 146)(20, 130)(21, 152)(22, 145)(23, 133)(24, 155)(25, 136)(26, 135)(27, 158)(28, 157)(29, 144)(30, 141)(31, 140)(32, 163)(33, 162)(34, 143)(35, 166)(36, 161)(37, 154)(38, 151)(39, 150)(40, 149)(41, 172)(42, 171)(43, 170)(44, 153)(45, 176)(46, 169)(47, 156)(48, 179)(49, 160)(50, 159)(51, 182)(52, 181)(53, 168)(54, 165)(55, 164)(56, 187)(57, 186)(58, 167)(59, 190)(60, 185)(61, 178)(62, 175)(63, 174)(64, 173)(65, 196)(66, 195)(67, 194)(68, 177)(69, 200)(70, 193)(71, 180)(72, 203)(73, 184)(74, 183)(75, 206)(76, 205)(77, 192)(78, 189)(79, 188)(80, 211)(81, 210)(82, 191)(83, 214)(84, 209)(85, 202)(86, 199)(87, 198)(88, 197)(89, 220)(90, 219)(91, 218)(92, 201)(93, 224)(94, 217)(95, 204)(96, 227)(97, 208)(98, 207)(99, 229)(100, 228)(101, 216)(102, 213)(103, 212)(104, 233)(105, 232)(106, 215)(107, 235)(108, 226)(109, 223)(110, 222)(111, 221)(112, 238)(113, 237)(114, 225)(115, 236)(116, 231)(117, 230)(118, 240)(119, 234)(120, 239)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E18.1047
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 120 f = 80
	degree seq :: [ 40^6 ]

E18.1052 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 20})
Quotient :: loop
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, (T2 * T1)^6, 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, 15, 135)(11, 131, 21, 141)(13, 133, 23, 143)(14, 134, 24, 144)(18, 138, 30, 150)(19, 139, 29, 149)(20, 140, 33, 153)(22, 142, 35, 155)(25, 145, 40, 160)(26, 146, 41, 161)(27, 147, 42, 162)(28, 148, 43, 163)(31, 151, 39, 159)(32, 152, 48, 168)(34, 154, 50, 170)(36, 156, 52, 172)(37, 157, 53, 173)(38, 158, 54, 174)(44, 164, 59, 179)(45, 165, 57, 177)(46, 166, 58, 178)(47, 167, 62, 182)(49, 169, 64, 184)(51, 171, 66, 186)(55, 175, 68, 188)(56, 176, 69, 189)(60, 180, 67, 187)(61, 181, 74, 194)(63, 183, 76, 196)(65, 185, 78, 198)(70, 190, 83, 203)(71, 191, 81, 201)(72, 192, 82, 202)(73, 193, 86, 206)(75, 195, 88, 208)(77, 197, 90, 210)(79, 199, 92, 212)(80, 200, 93, 213)(84, 204, 91, 211)(85, 205, 98, 218)(87, 207, 100, 220)(89, 209, 102, 222)(94, 214, 107, 227)(95, 215, 105, 225)(96, 216, 106, 226)(97, 217, 108, 228)(99, 219, 110, 230)(101, 221, 112, 232)(103, 223, 113, 233)(104, 224, 114, 234)(109, 229, 116, 236)(111, 231, 118, 238)(115, 235, 119, 239)(117, 237, 120, 240)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 138)(10, 124)(11, 140)(12, 128)(13, 129)(14, 126)(15, 145)(16, 146)(17, 148)(18, 149)(19, 130)(20, 152)(21, 134)(22, 132)(23, 156)(24, 158)(25, 159)(26, 137)(27, 136)(28, 155)(29, 164)(30, 157)(31, 139)(32, 167)(33, 142)(34, 141)(35, 171)(36, 144)(37, 143)(38, 170)(39, 175)(40, 147)(41, 173)(42, 177)(43, 172)(44, 178)(45, 150)(46, 151)(47, 181)(48, 154)(49, 153)(50, 185)(51, 184)(52, 161)(53, 162)(54, 163)(55, 187)(56, 160)(57, 189)(58, 190)(59, 165)(60, 166)(61, 193)(62, 169)(63, 168)(64, 197)(65, 196)(66, 174)(67, 199)(68, 176)(69, 201)(70, 202)(71, 179)(72, 180)(73, 205)(74, 183)(75, 182)(76, 209)(77, 208)(78, 186)(79, 211)(80, 188)(81, 213)(82, 214)(83, 191)(84, 192)(85, 217)(86, 195)(87, 194)(88, 221)(89, 220)(90, 198)(91, 223)(92, 200)(93, 225)(94, 226)(95, 203)(96, 204)(97, 216)(98, 207)(99, 206)(100, 231)(101, 230)(102, 210)(103, 228)(104, 212)(105, 234)(106, 229)(107, 215)(108, 219)(109, 218)(110, 237)(111, 236)(112, 222)(113, 224)(114, 239)(115, 227)(116, 235)(117, 233)(118, 232)(119, 240)(120, 238)
	local type(s) :: { ( 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E18.1048
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 60 e = 120 f = 26
	degree seq :: [ 4^60 ]

E18.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (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, 14, 134)(10, 130, 12, 132)(15, 135, 23, 143)(16, 136, 24, 144)(17, 137, 25, 145)(18, 138, 26, 146)(19, 139, 27, 147)(20, 140, 28, 148)(21, 141, 29, 149)(22, 142, 30, 150)(31, 151, 37, 157)(32, 152, 38, 158)(33, 153, 39, 159)(34, 154, 40, 160)(35, 155, 41, 161)(36, 156, 42, 162)(43, 163, 49, 169)(44, 164, 50, 170)(45, 165, 51, 171)(46, 166, 88, 208)(47, 167, 89, 209)(48, 168, 90, 210)(52, 172, 94, 214)(53, 173, 97, 217)(54, 174, 100, 220)(55, 175, 99, 219)(56, 176, 104, 224)(57, 177, 96, 216)(58, 178, 108, 228)(59, 179, 110, 230)(60, 180, 111, 231)(61, 181, 109, 229)(62, 182, 112, 232)(63, 183, 114, 234)(64, 184, 115, 235)(65, 185, 113, 233)(66, 186, 103, 223)(67, 187, 102, 222)(68, 188, 98, 218)(69, 189, 101, 221)(70, 190, 107, 227)(71, 191, 106, 226)(72, 192, 95, 215)(73, 193, 105, 225)(74, 194, 116, 236)(75, 195, 118, 238)(76, 196, 117, 237)(77, 197, 119, 239)(78, 198, 93, 213)(79, 199, 92, 212)(80, 200, 120, 240)(81, 201, 91, 211)(82, 202, 85, 205)(83, 203, 87, 207)(84, 204, 86, 206)(241, 361, 243, 363, 248, 368, 257, 377, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 261, 381, 254, 374, 246, 366)(247, 367, 255, 375, 249, 369, 258, 378, 265, 385, 256, 376)(251, 371, 259, 379, 253, 373, 262, 382, 269, 389, 260, 380)(263, 383, 271, 391, 264, 384, 273, 393, 266, 386, 272, 392)(267, 387, 274, 394, 268, 388, 276, 396, 270, 390, 275, 395)(277, 397, 283, 403, 278, 398, 285, 405, 279, 399, 284, 404)(280, 400, 286, 406, 281, 401, 288, 408, 282, 402, 287, 407)(289, 409, 310, 430, 290, 410, 313, 433, 291, 411, 311, 431)(292, 412, 335, 455, 299, 419, 344, 464, 301, 421, 336, 456)(293, 413, 338, 458, 303, 423, 340, 460, 305, 425, 339, 459)(294, 414, 341, 461, 308, 428, 343, 463, 295, 415, 342, 462)(296, 416, 345, 465, 312, 432, 347, 467, 297, 417, 346, 466)(298, 418, 349, 469, 300, 420, 350, 470, 316, 436, 334, 454)(302, 422, 353, 473, 304, 424, 354, 474, 320, 440, 337, 457)(306, 426, 329, 449, 309, 429, 330, 450, 307, 427, 328, 448)(314, 434, 357, 477, 315, 435, 351, 471, 317, 437, 348, 468)(318, 438, 360, 480, 319, 439, 355, 475, 321, 441, 352, 472)(322, 442, 359, 479, 323, 443, 358, 478, 324, 444, 356, 476)(325, 445, 331, 451, 326, 446, 332, 452, 327, 447, 333, 453)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 254)(9, 244)(10, 252)(11, 245)(12, 250)(13, 246)(14, 248)(15, 263)(16, 264)(17, 265)(18, 266)(19, 267)(20, 268)(21, 269)(22, 270)(23, 255)(24, 256)(25, 257)(26, 258)(27, 259)(28, 260)(29, 261)(30, 262)(31, 277)(32, 278)(33, 279)(34, 280)(35, 281)(36, 282)(37, 271)(38, 272)(39, 273)(40, 274)(41, 275)(42, 276)(43, 289)(44, 290)(45, 291)(46, 328)(47, 329)(48, 330)(49, 283)(50, 284)(51, 285)(52, 334)(53, 337)(54, 340)(55, 339)(56, 344)(57, 336)(58, 348)(59, 350)(60, 351)(61, 349)(62, 352)(63, 354)(64, 355)(65, 353)(66, 343)(67, 342)(68, 338)(69, 341)(70, 347)(71, 346)(72, 335)(73, 345)(74, 356)(75, 358)(76, 357)(77, 359)(78, 333)(79, 332)(80, 360)(81, 331)(82, 325)(83, 327)(84, 326)(85, 322)(86, 324)(87, 323)(88, 286)(89, 287)(90, 288)(91, 321)(92, 319)(93, 318)(94, 292)(95, 312)(96, 297)(97, 293)(98, 308)(99, 295)(100, 294)(101, 309)(102, 307)(103, 306)(104, 296)(105, 313)(106, 311)(107, 310)(108, 298)(109, 301)(110, 299)(111, 300)(112, 302)(113, 305)(114, 303)(115, 304)(116, 314)(117, 316)(118, 315)(119, 317)(120, 320)(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 ) }
Outer automorphisms :: reflexible
Dual of E18.1056
Graph:: bipartite
	v = 80 e = 240 f = 126
	degree seq :: [ 4^60, 12^20 ]

E18.1054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^6, Y2^20 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 14, 134, 12, 132, 4, 124)(3, 123, 9, 129, 19, 139, 26, 146, 15, 135, 8, 128)(5, 125, 11, 131, 22, 142, 25, 145, 16, 136, 7, 127)(10, 130, 18, 138, 27, 147, 38, 158, 31, 151, 20, 140)(13, 133, 17, 137, 28, 148, 37, 157, 34, 154, 23, 143)(21, 141, 32, 152, 43, 163, 50, 170, 39, 159, 30, 150)(24, 144, 35, 155, 46, 166, 49, 169, 40, 160, 29, 149)(33, 153, 42, 162, 51, 171, 62, 182, 55, 175, 44, 164)(36, 156, 41, 161, 52, 172, 61, 181, 58, 178, 47, 167)(45, 165, 56, 176, 67, 187, 74, 194, 63, 183, 54, 174)(48, 168, 59, 179, 70, 190, 73, 193, 64, 184, 53, 173)(57, 177, 66, 186, 75, 195, 86, 206, 79, 199, 68, 188)(60, 180, 65, 185, 76, 196, 85, 205, 82, 202, 71, 191)(69, 189, 80, 200, 91, 211, 98, 218, 87, 207, 78, 198)(72, 192, 83, 203, 94, 214, 97, 217, 88, 208, 77, 197)(81, 201, 90, 210, 99, 219, 109, 229, 103, 223, 92, 212)(84, 204, 89, 209, 100, 220, 108, 228, 106, 226, 95, 215)(93, 213, 104, 224, 113, 233, 117, 237, 110, 230, 102, 222)(96, 216, 107, 227, 115, 235, 116, 236, 111, 231, 101, 221)(105, 225, 112, 232, 118, 238, 120, 240, 119, 239, 114, 234)(241, 361, 243, 363, 250, 370, 261, 381, 273, 393, 285, 405, 297, 417, 309, 429, 321, 441, 333, 453, 345, 465, 336, 456, 324, 444, 312, 432, 300, 420, 288, 408, 276, 396, 264, 384, 253, 373, 245, 365)(242, 362, 247, 367, 257, 377, 269, 389, 281, 401, 293, 413, 305, 425, 317, 437, 329, 449, 341, 461, 352, 472, 342, 462, 330, 450, 318, 438, 306, 426, 294, 414, 282, 402, 270, 390, 258, 378, 248, 368)(244, 364, 251, 371, 263, 383, 275, 395, 287, 407, 299, 419, 311, 431, 323, 443, 335, 455, 347, 467, 354, 474, 344, 464, 332, 452, 320, 440, 308, 428, 296, 416, 284, 404, 272, 392, 260, 380, 249, 369)(246, 366, 255, 375, 267, 387, 279, 399, 291, 411, 303, 423, 315, 435, 327, 447, 339, 459, 350, 470, 358, 478, 351, 471, 340, 460, 328, 448, 316, 436, 304, 424, 292, 412, 280, 400, 268, 388, 256, 376)(252, 372, 259, 379, 271, 391, 283, 403, 295, 415, 307, 427, 319, 439, 331, 451, 343, 463, 353, 473, 359, 479, 355, 475, 346, 466, 334, 454, 322, 442, 310, 430, 298, 418, 286, 406, 274, 394, 262, 382)(254, 374, 265, 385, 277, 397, 289, 409, 301, 421, 313, 433, 325, 445, 337, 457, 348, 468, 356, 476, 360, 480, 357, 477, 349, 469, 338, 458, 326, 446, 314, 434, 302, 422, 290, 410, 278, 398, 266, 386)
	L = (1, 243)(2, 247)(3, 250)(4, 251)(5, 241)(6, 255)(7, 257)(8, 242)(9, 244)(10, 261)(11, 263)(12, 259)(13, 245)(14, 265)(15, 267)(16, 246)(17, 269)(18, 248)(19, 271)(20, 249)(21, 273)(22, 252)(23, 275)(24, 253)(25, 277)(26, 254)(27, 279)(28, 256)(29, 281)(30, 258)(31, 283)(32, 260)(33, 285)(34, 262)(35, 287)(36, 264)(37, 289)(38, 266)(39, 291)(40, 268)(41, 293)(42, 270)(43, 295)(44, 272)(45, 297)(46, 274)(47, 299)(48, 276)(49, 301)(50, 278)(51, 303)(52, 280)(53, 305)(54, 282)(55, 307)(56, 284)(57, 309)(58, 286)(59, 311)(60, 288)(61, 313)(62, 290)(63, 315)(64, 292)(65, 317)(66, 294)(67, 319)(68, 296)(69, 321)(70, 298)(71, 323)(72, 300)(73, 325)(74, 302)(75, 327)(76, 304)(77, 329)(78, 306)(79, 331)(80, 308)(81, 333)(82, 310)(83, 335)(84, 312)(85, 337)(86, 314)(87, 339)(88, 316)(89, 341)(90, 318)(91, 343)(92, 320)(93, 345)(94, 322)(95, 347)(96, 324)(97, 348)(98, 326)(99, 350)(100, 328)(101, 352)(102, 330)(103, 353)(104, 332)(105, 336)(106, 334)(107, 354)(108, 356)(109, 338)(110, 358)(111, 340)(112, 342)(113, 359)(114, 344)(115, 346)(116, 360)(117, 349)(118, 351)(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, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.1055
Graph:: bipartite
	v = 26 e = 240 f = 180
	degree seq :: [ 12^20, 40^6 ]

E18.1055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y2)^6, Y3^6 * Y2 * Y3^-14 * 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, 254, 374)(250, 370, 252, 372)(255, 375, 265, 385)(256, 376, 266, 386)(257, 377, 267, 387)(258, 378, 269, 389)(259, 379, 270, 390)(260, 380, 272, 392)(261, 381, 273, 393)(262, 382, 274, 394)(263, 383, 276, 396)(264, 384, 277, 397)(268, 388, 278, 398)(271, 391, 275, 395)(279, 399, 288, 408)(280, 400, 287, 407)(281, 401, 292, 412)(282, 402, 295, 415)(283, 403, 296, 416)(284, 404, 289, 409)(285, 405, 298, 418)(286, 406, 299, 419)(290, 410, 301, 421)(291, 411, 302, 422)(293, 413, 304, 424)(294, 414, 305, 425)(297, 417, 306, 426)(300, 420, 303, 423)(307, 427, 316, 436)(308, 428, 319, 439)(309, 429, 320, 440)(310, 430, 313, 433)(311, 431, 322, 442)(312, 432, 323, 443)(314, 434, 325, 445)(315, 435, 326, 446)(317, 437, 328, 448)(318, 438, 329, 449)(321, 441, 330, 450)(324, 444, 327, 447)(331, 451, 340, 460)(332, 452, 343, 463)(333, 453, 344, 464)(334, 454, 337, 457)(335, 455, 346, 466)(336, 456, 347, 467)(338, 458, 348, 468)(339, 459, 349, 469)(341, 461, 351, 471)(342, 462, 352, 472)(345, 465, 350, 470)(353, 473, 358, 478)(354, 474, 359, 479)(355, 475, 356, 476)(357, 477, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 257)(9, 258)(10, 244)(11, 260)(12, 262)(13, 263)(14, 246)(15, 249)(16, 247)(17, 268)(18, 270)(19, 250)(20, 253)(21, 251)(22, 275)(23, 277)(24, 254)(25, 279)(26, 281)(27, 256)(28, 283)(29, 280)(30, 285)(31, 259)(32, 287)(33, 289)(34, 261)(35, 291)(36, 288)(37, 293)(38, 264)(39, 266)(40, 265)(41, 295)(42, 267)(43, 297)(44, 269)(45, 299)(46, 271)(47, 273)(48, 272)(49, 301)(50, 274)(51, 303)(52, 276)(53, 305)(54, 278)(55, 307)(56, 282)(57, 309)(58, 284)(59, 311)(60, 286)(61, 313)(62, 290)(63, 315)(64, 292)(65, 317)(66, 294)(67, 319)(68, 296)(69, 321)(70, 298)(71, 323)(72, 300)(73, 325)(74, 302)(75, 327)(76, 304)(77, 329)(78, 306)(79, 331)(80, 308)(81, 333)(82, 310)(83, 335)(84, 312)(85, 337)(86, 314)(87, 339)(88, 316)(89, 341)(90, 318)(91, 343)(92, 320)(93, 345)(94, 322)(95, 347)(96, 324)(97, 348)(98, 326)(99, 350)(100, 328)(101, 352)(102, 330)(103, 353)(104, 332)(105, 336)(106, 334)(107, 354)(108, 356)(109, 338)(110, 342)(111, 340)(112, 357)(113, 359)(114, 344)(115, 346)(116, 360)(117, 349)(118, 351)(119, 355)(120, 358)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 12, 40 ), ( 12, 40, 12, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.1054
Graph:: simple bipartite
	v = 180 e = 240 f = 26
	degree seq :: [ 2^120, 4^60 ]

E18.1056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (Y3^-1 * Y1)^6, Y1^20 ]
Map:: polytopal
	R = (1, 121, 2, 122, 5, 125, 11, 131, 20, 140, 32, 152, 47, 167, 61, 181, 73, 193, 85, 205, 97, 217, 96, 216, 84, 204, 72, 192, 60, 180, 46, 166, 31, 151, 19, 139, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 25, 145, 39, 159, 55, 175, 67, 187, 79, 199, 91, 211, 103, 223, 108, 228, 99, 219, 86, 206, 75, 195, 62, 182, 49, 169, 33, 153, 22, 142, 12, 132, 8, 128)(6, 126, 13, 133, 9, 129, 18, 138, 29, 149, 44, 164, 58, 178, 70, 190, 82, 202, 94, 214, 106, 226, 109, 229, 98, 218, 87, 207, 74, 194, 63, 183, 48, 168, 34, 154, 21, 141, 14, 134)(16, 136, 26, 146, 17, 137, 28, 148, 35, 155, 51, 171, 64, 184, 77, 197, 88, 208, 101, 221, 110, 230, 117, 237, 113, 233, 104, 224, 92, 212, 80, 200, 68, 188, 56, 176, 40, 160, 27, 147)(23, 143, 36, 156, 24, 144, 38, 158, 50, 170, 65, 185, 76, 196, 89, 209, 100, 220, 111, 231, 116, 236, 115, 235, 107, 227, 95, 215, 83, 203, 71, 191, 59, 179, 45, 165, 30, 150, 37, 157)(41, 161, 53, 173, 42, 162, 57, 177, 69, 189, 81, 201, 93, 213, 105, 225, 114, 234, 119, 239, 120, 240, 118, 238, 112, 232, 102, 222, 90, 210, 78, 198, 66, 186, 54, 174, 43, 163, 52, 172)(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, 255)(11, 261)(12, 245)(13, 263)(14, 264)(15, 250)(16, 247)(17, 248)(18, 270)(19, 269)(20, 273)(21, 251)(22, 275)(23, 253)(24, 254)(25, 280)(26, 281)(27, 282)(28, 283)(29, 259)(30, 258)(31, 279)(32, 288)(33, 260)(34, 290)(35, 262)(36, 292)(37, 293)(38, 294)(39, 271)(40, 265)(41, 266)(42, 267)(43, 268)(44, 299)(45, 297)(46, 298)(47, 302)(48, 272)(49, 304)(50, 274)(51, 306)(52, 276)(53, 277)(54, 278)(55, 308)(56, 309)(57, 285)(58, 286)(59, 284)(60, 307)(61, 314)(62, 287)(63, 316)(64, 289)(65, 318)(66, 291)(67, 300)(68, 295)(69, 296)(70, 323)(71, 321)(72, 322)(73, 326)(74, 301)(75, 328)(76, 303)(77, 330)(78, 305)(79, 332)(80, 333)(81, 311)(82, 312)(83, 310)(84, 331)(85, 338)(86, 313)(87, 340)(88, 315)(89, 342)(90, 317)(91, 324)(92, 319)(93, 320)(94, 347)(95, 345)(96, 346)(97, 348)(98, 325)(99, 350)(100, 327)(101, 352)(102, 329)(103, 353)(104, 354)(105, 335)(106, 336)(107, 334)(108, 337)(109, 356)(110, 339)(111, 358)(112, 341)(113, 343)(114, 344)(115, 359)(116, 349)(117, 360)(118, 351)(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) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 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 E18.1053
Graph:: simple bipartite
	v = 126 e = 240 f = 80
	degree seq :: [ 2^120, 40^6 ]

E18.1057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^6, Y2^20 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 14, 134)(10, 130, 12, 132)(15, 135, 25, 145)(16, 136, 26, 146)(17, 137, 27, 147)(18, 138, 29, 149)(19, 139, 30, 150)(20, 140, 32, 152)(21, 141, 33, 153)(22, 142, 34, 154)(23, 143, 36, 156)(24, 144, 37, 157)(28, 148, 38, 158)(31, 151, 35, 155)(39, 159, 48, 168)(40, 160, 47, 167)(41, 161, 52, 172)(42, 162, 55, 175)(43, 163, 56, 176)(44, 164, 49, 169)(45, 165, 58, 178)(46, 166, 59, 179)(50, 170, 61, 181)(51, 171, 62, 182)(53, 173, 64, 184)(54, 174, 65, 185)(57, 177, 66, 186)(60, 180, 63, 183)(67, 187, 76, 196)(68, 188, 79, 199)(69, 189, 80, 200)(70, 190, 73, 193)(71, 191, 82, 202)(72, 192, 83, 203)(74, 194, 85, 205)(75, 195, 86, 206)(77, 197, 88, 208)(78, 198, 89, 209)(81, 201, 90, 210)(84, 204, 87, 207)(91, 211, 100, 220)(92, 212, 103, 223)(93, 213, 104, 224)(94, 214, 97, 217)(95, 215, 106, 226)(96, 216, 107, 227)(98, 218, 108, 228)(99, 219, 109, 229)(101, 221, 111, 231)(102, 222, 112, 232)(105, 225, 110, 230)(113, 233, 118, 238)(114, 234, 119, 239)(115, 235, 116, 236)(117, 237, 120, 240)(241, 361, 243, 363, 248, 368, 257, 377, 268, 388, 283, 403, 297, 417, 309, 429, 321, 441, 333, 453, 345, 465, 336, 456, 324, 444, 312, 432, 300, 420, 286, 406, 271, 391, 259, 379, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 262, 382, 275, 395, 291, 411, 303, 423, 315, 435, 327, 447, 339, 459, 350, 470, 342, 462, 330, 450, 318, 438, 306, 426, 294, 414, 278, 398, 264, 384, 254, 374, 246, 366)(247, 367, 255, 375, 249, 369, 258, 378, 270, 390, 285, 405, 299, 419, 311, 431, 323, 443, 335, 455, 347, 467, 354, 474, 344, 464, 332, 452, 320, 440, 308, 428, 296, 416, 282, 402, 267, 387, 256, 376)(251, 371, 260, 380, 253, 373, 263, 383, 277, 397, 293, 413, 305, 425, 317, 437, 329, 449, 341, 461, 352, 472, 357, 477, 349, 469, 338, 458, 326, 446, 314, 434, 302, 422, 290, 410, 274, 394, 261, 381)(265, 385, 279, 399, 266, 386, 281, 401, 295, 415, 307, 427, 319, 439, 331, 451, 343, 463, 353, 473, 359, 479, 355, 475, 346, 466, 334, 454, 322, 442, 310, 430, 298, 418, 284, 404, 269, 389, 280, 400)(272, 392, 287, 407, 273, 393, 289, 409, 301, 421, 313, 433, 325, 445, 337, 457, 348, 468, 356, 476, 360, 480, 358, 478, 351, 471, 340, 460, 328, 448, 316, 436, 304, 424, 292, 412, 276, 396, 288, 408)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 254)(9, 244)(10, 252)(11, 245)(12, 250)(13, 246)(14, 248)(15, 265)(16, 266)(17, 267)(18, 269)(19, 270)(20, 272)(21, 273)(22, 274)(23, 276)(24, 277)(25, 255)(26, 256)(27, 257)(28, 278)(29, 258)(30, 259)(31, 275)(32, 260)(33, 261)(34, 262)(35, 271)(36, 263)(37, 264)(38, 268)(39, 288)(40, 287)(41, 292)(42, 295)(43, 296)(44, 289)(45, 298)(46, 299)(47, 280)(48, 279)(49, 284)(50, 301)(51, 302)(52, 281)(53, 304)(54, 305)(55, 282)(56, 283)(57, 306)(58, 285)(59, 286)(60, 303)(61, 290)(62, 291)(63, 300)(64, 293)(65, 294)(66, 297)(67, 316)(68, 319)(69, 320)(70, 313)(71, 322)(72, 323)(73, 310)(74, 325)(75, 326)(76, 307)(77, 328)(78, 329)(79, 308)(80, 309)(81, 330)(82, 311)(83, 312)(84, 327)(85, 314)(86, 315)(87, 324)(88, 317)(89, 318)(90, 321)(91, 340)(92, 343)(93, 344)(94, 337)(95, 346)(96, 347)(97, 334)(98, 348)(99, 349)(100, 331)(101, 351)(102, 352)(103, 332)(104, 333)(105, 350)(106, 335)(107, 336)(108, 338)(109, 339)(110, 345)(111, 341)(112, 342)(113, 358)(114, 359)(115, 356)(116, 355)(117, 360)(118, 353)(119, 354)(120, 357)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 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 E18.1058
Graph:: bipartite
	v = 66 e = 240 f = 140
	degree seq :: [ 4^60, 40^6 ]

E18.1058 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 20})
Quotient :: dipole
Aut^+ = (C6 x D10) : C2 (small group id <120, 12>)
Aut   = S3 x D40 (small group id <240, 137>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^20 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 14, 134, 12, 132, 4, 124)(3, 123, 9, 129, 19, 139, 26, 146, 15, 135, 8, 128)(5, 125, 11, 131, 22, 142, 25, 145, 16, 136, 7, 127)(10, 130, 18, 138, 27, 147, 38, 158, 31, 151, 20, 140)(13, 133, 17, 137, 28, 148, 37, 157, 34, 154, 23, 143)(21, 141, 32, 152, 43, 163, 50, 170, 39, 159, 30, 150)(24, 144, 35, 155, 46, 166, 49, 169, 40, 160, 29, 149)(33, 153, 42, 162, 51, 171, 62, 182, 55, 175, 44, 164)(36, 156, 41, 161, 52, 172, 61, 181, 58, 178, 47, 167)(45, 165, 56, 176, 67, 187, 74, 194, 63, 183, 54, 174)(48, 168, 59, 179, 70, 190, 73, 193, 64, 184, 53, 173)(57, 177, 66, 186, 75, 195, 86, 206, 79, 199, 68, 188)(60, 180, 65, 185, 76, 196, 85, 205, 82, 202, 71, 191)(69, 189, 80, 200, 91, 211, 98, 218, 87, 207, 78, 198)(72, 192, 83, 203, 94, 214, 97, 217, 88, 208, 77, 197)(81, 201, 90, 210, 99, 219, 109, 229, 103, 223, 92, 212)(84, 204, 89, 209, 100, 220, 108, 228, 106, 226, 95, 215)(93, 213, 104, 224, 113, 233, 117, 237, 110, 230, 102, 222)(96, 216, 107, 227, 115, 235, 116, 236, 111, 231, 101, 221)(105, 225, 112, 232, 118, 238, 120, 240, 119, 239, 114, 234)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 251)(5, 241)(6, 255)(7, 257)(8, 242)(9, 244)(10, 261)(11, 263)(12, 259)(13, 245)(14, 265)(15, 267)(16, 246)(17, 269)(18, 248)(19, 271)(20, 249)(21, 273)(22, 252)(23, 275)(24, 253)(25, 277)(26, 254)(27, 279)(28, 256)(29, 281)(30, 258)(31, 283)(32, 260)(33, 285)(34, 262)(35, 287)(36, 264)(37, 289)(38, 266)(39, 291)(40, 268)(41, 293)(42, 270)(43, 295)(44, 272)(45, 297)(46, 274)(47, 299)(48, 276)(49, 301)(50, 278)(51, 303)(52, 280)(53, 305)(54, 282)(55, 307)(56, 284)(57, 309)(58, 286)(59, 311)(60, 288)(61, 313)(62, 290)(63, 315)(64, 292)(65, 317)(66, 294)(67, 319)(68, 296)(69, 321)(70, 298)(71, 323)(72, 300)(73, 325)(74, 302)(75, 327)(76, 304)(77, 329)(78, 306)(79, 331)(80, 308)(81, 333)(82, 310)(83, 335)(84, 312)(85, 337)(86, 314)(87, 339)(88, 316)(89, 341)(90, 318)(91, 343)(92, 320)(93, 345)(94, 322)(95, 347)(96, 324)(97, 348)(98, 326)(99, 350)(100, 328)(101, 352)(102, 330)(103, 353)(104, 332)(105, 336)(106, 334)(107, 354)(108, 356)(109, 338)(110, 358)(111, 340)(112, 342)(113, 359)(114, 344)(115, 346)(116, 360)(117, 349)(118, 351)(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) :: { ( 4, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E18.1057
Graph:: simple bipartite
	v = 140 e = 240 f = 66
	degree seq :: [ 2^120, 12^20 ]

E18.1059 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^2, X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2, (X2 * X1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 97, 60, 30, 14)(9, 19, 39, 74, 115, 79, 42, 20)(12, 25, 49, 91, 132, 96, 52, 26)(16, 33, 64, 108, 129, 102, 59, 34)(17, 35, 67, 110, 130, 88, 70, 36)(21, 43, 68, 111, 103, 123, 82, 44)(24, 47, 87, 116, 135, 104, 90, 48)(28, 55, 100, 81, 122, 109, 95, 56)(29, 57, 69, 112, 136, 126, 101, 58)(32, 63, 107, 118, 124, 133, 94, 51)(37, 71, 40, 75, 117, 127, 92, 72)(41, 76, 119, 131, 93, 50, 66, 77)(45, 83, 120, 98, 73, 114, 125, 84)(46, 85, 106, 62, 105, 134, 128, 86)(54, 99, 78, 65, 80, 121, 113, 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, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 68)(36, 69)(38, 73)(39, 57)(42, 78)(43, 80)(44, 81)(47, 88)(48, 89)(49, 92)(52, 95)(53, 98)(55, 71)(56, 70)(58, 63)(60, 103)(61, 104)(64, 109)(67, 77)(72, 113)(74, 116)(75, 118)(76, 120)(79, 105)(82, 107)(83, 124)(84, 108)(85, 126)(86, 127)(87, 129)(90, 131)(91, 111)(93, 101)(94, 99)(96, 115)(97, 134)(100, 119)(102, 117)(106, 122)(110, 128)(112, 125)(114, 132)(121, 136)(123, 135)(130, 133)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E18.1060
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.1060 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 8, 8})
Quotient :: halfedge
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ X2^2, X1^8, X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^-2, (X1^2 * X2)^4, (X1^-1 * X2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 29, 38, 18, 8)(6, 13, 27, 50, 48, 54, 30, 14)(9, 19, 39, 36, 17, 35, 42, 20)(12, 25, 47, 77, 75, 80, 49, 26)(16, 33, 58, 93, 91, 97, 60, 34)(21, 43, 71, 69, 41, 68, 73, 44)(24, 40, 67, 105, 96, 112, 76, 46)(28, 52, 84, 72, 109, 110, 74, 45)(32, 56, 90, 120, 119, 121, 92, 57)(37, 63, 101, 100, 62, 99, 78, 64)(51, 82, 70, 107, 131, 130, 106, 83)(53, 86, 117, 89, 55, 61, 98, 87)(59, 95, 79, 102, 127, 115, 81, 65)(66, 103, 128, 133, 125, 122, 94, 104)(85, 116, 111, 118, 135, 126, 113, 88)(108, 132, 124, 123, 136, 134, 129, 114)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 34)(25, 43)(26, 48)(27, 51)(30, 53)(31, 55)(33, 59)(35, 61)(36, 62)(38, 65)(39, 66)(42, 70)(44, 72)(46, 75)(47, 78)(49, 79)(50, 81)(52, 85)(54, 88)(56, 63)(57, 91)(58, 94)(60, 96)(64, 102)(67, 98)(68, 99)(69, 106)(71, 108)(73, 90)(74, 93)(76, 111)(77, 113)(80, 114)(82, 86)(83, 109)(84, 92)(87, 118)(89, 119)(95, 123)(97, 124)(100, 125)(101, 126)(103, 107)(104, 112)(105, 129)(110, 128)(115, 131)(116, 133)(117, 134)(120, 132)(121, 135)(122, 127)(130, 136)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: chiral
Dual of E18.1059
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 17 e = 68 f = 17
	degree seq :: [ 8^17 ]

E18.1061 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, X1 * X2^-1 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2, (X1 * X2^2)^4 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 48)(26, 52)(27, 54)(28, 56)(30, 60)(32, 63)(34, 49)(35, 68)(36, 51)(38, 73)(40, 65)(42, 78)(43, 80)(44, 81)(47, 85)(50, 66)(53, 92)(55, 77)(57, 62)(58, 61)(59, 97)(64, 100)(67, 107)(69, 98)(70, 102)(71, 96)(72, 104)(74, 115)(75, 117)(76, 119)(79, 90)(82, 88)(83, 124)(84, 86)(87, 116)(89, 103)(91, 122)(93, 109)(94, 130)(95, 125)(99, 134)(101, 120)(105, 128)(106, 108)(110, 118)(111, 126)(112, 136)(113, 135)(114, 133)(121, 132)(123, 129)(127, 131)(137, 139, 144, 154, 174, 158, 146, 140)(138, 141, 148, 162, 189, 166, 150, 142)(143, 151, 168, 200, 241, 203, 170, 152)(145, 155, 176, 211, 254, 215, 178, 156)(147, 159, 183, 222, 262, 223, 185, 160)(149, 163, 191, 230, 267, 232, 193, 164)(153, 171, 205, 245, 270, 246, 206, 172)(157, 179, 190, 229, 243, 259, 218, 180)(161, 186, 224, 251, 260, 263, 225, 187)(165, 194, 175, 210, 252, 269, 234, 195)(167, 197, 237, 217, 258, 221, 238, 198)(169, 201, 192, 231, 268, 271, 242, 202)(173, 207, 247, 253, 265, 228, 248, 208)(177, 212, 256, 272, 244, 204, 184, 213)(181, 219, 255, 236, 196, 235, 261, 220)(182, 216, 257, 233, 240, 199, 239, 214)(188, 226, 264, 266, 250, 209, 249, 227)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E18.1066
Transitivity :: ET+
Graph:: simple bipartite
	v = 85 e = 136 f = 17
	degree seq :: [ 2^68, 8^17 ]

E18.1062 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-2, (X2 * X1 * X2)^4, (X2^-1 * X1)^8 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 37)(19, 39)(20, 41)(22, 45)(23, 46)(24, 38)(26, 51)(27, 52)(28, 53)(30, 56)(32, 58)(34, 60)(35, 43)(36, 63)(40, 67)(42, 70)(44, 72)(47, 76)(48, 78)(49, 54)(50, 81)(55, 88)(57, 91)(59, 90)(61, 97)(62, 89)(64, 99)(65, 101)(66, 84)(68, 85)(69, 106)(71, 108)(73, 80)(74, 77)(75, 111)(79, 114)(82, 92)(83, 117)(86, 119)(87, 120)(93, 95)(94, 109)(96, 124)(98, 125)(100, 126)(102, 127)(103, 128)(104, 107)(105, 113)(110, 129)(112, 121)(115, 132)(116, 134)(118, 135)(122, 131)(123, 136)(130, 133)(137, 139, 144, 154, 174, 158, 146, 140)(138, 141, 148, 162, 169, 166, 150, 142)(143, 151, 168, 195, 199, 197, 170, 152)(145, 155, 176, 164, 149, 163, 178, 156)(147, 159, 183, 213, 217, 215, 184, 160)(153, 171, 198, 234, 237, 236, 200, 172)(157, 179, 207, 205, 177, 204, 209, 180)(161, 185, 216, 251, 253, 252, 218, 186)(165, 190, 223, 222, 189, 221, 225, 191)(167, 193, 228, 208, 245, 246, 210, 181)(173, 175, 202, 239, 214, 249, 238, 201)(182, 211, 235, 224, 257, 258, 226, 192)(187, 188, 220, 232, 196, 231, 254, 219)(194, 229, 206, 243, 267, 266, 242, 230)(203, 240, 265, 272, 255, 248, 212, 241)(227, 259, 263, 260, 270, 256, 261, 233)(244, 268, 250, 247, 269, 271, 264, 262)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: chiral
Dual of E18.1065
Transitivity :: ET+
Graph:: simple bipartite
	v = 85 e = 136 f = 17
	degree seq :: [ 2^68, 8^17 ]

E18.1063 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-2 * X2^-1 * X1 * X2^4, X1^8, (X2 * X1^-1)^4, X1^-1 * X2^-1 * X1^2 * X2^2 * X1 * X2^-1 * X1^-2, X1 * X2^-2 * X1^2 * X2^2 * X1^-1 * X2 * X1^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 16, 40, 34, 13, 4)(3, 9, 23, 57, 103, 68, 29, 11)(5, 14, 35, 77, 99, 51, 20, 7)(8, 21, 52, 100, 130, 89, 44, 17)(10, 25, 60, 102, 128, 91, 46, 27)(12, 30, 63, 93, 129, 116, 72, 32)(15, 38, 74, 117, 127, 88, 64, 36)(18, 45, 90, 131, 113, 124, 83, 41)(19, 47, 26, 62, 109, 126, 85, 49)(22, 55, 31, 70, 115, 79, 95, 53)(24, 58, 105, 132, 92, 50, 96, 56)(28, 65, 39, 69, 97, 120, 101, 54)(33, 73, 108, 61, 98, 134, 118, 75)(37, 71, 106, 59, 107, 66, 82, 78)(42, 84, 125, 104, 135, 119, 121, 80)(43, 86, 48, 94, 133, 114, 123, 87)(67, 111, 136, 110, 76, 81, 122, 112)(137, 139, 146, 162, 199, 175, 151, 141)(138, 143, 155, 184, 159, 192, 158, 144)(140, 148, 167, 196, 244, 195, 160, 145)(142, 153, 179, 173, 150, 172, 182, 154)(147, 164, 202, 245, 272, 236, 197, 161)(149, 169, 210, 251, 258, 250, 205, 166)(152, 177, 218, 190, 157, 189, 221, 178)(156, 186, 233, 269, 254, 267, 229, 183)(163, 200, 225, 265, 226, 268, 246, 198)(165, 203, 171, 214, 219, 215, 174, 201)(168, 207, 223, 264, 255, 213, 248, 206)(170, 212, 241, 263, 220, 262, 243, 209)(176, 216, 256, 228, 181, 227, 259, 217)(180, 224, 194, 242, 208, 240, 193, 222)(185, 231, 260, 239, 261, 253, 211, 230)(187, 234, 188, 237, 257, 238, 191, 232)(204, 249, 270, 235, 271, 252, 266, 247)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 167)(32, 168)(33, 169)(34, 170)(35, 171)(36, 172)(37, 173)(38, 174)(39, 175)(40, 176)(41, 177)(42, 178)(43, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(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) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Dual of E18.1064
Transitivity :: ET+
Graph:: simple bipartite
	v = 34 e = 136 f = 68
	degree seq :: [ 8^34 ]

E18.1064 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ X1^2, X2^8, X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1, X1 * X2^-1 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2, (X1 * X2^2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 137, 2, 138)(3, 139, 7, 143)(4, 140, 9, 145)(5, 141, 11, 147)(6, 142, 13, 149)(8, 144, 17, 153)(10, 146, 21, 157)(12, 148, 25, 161)(14, 150, 29, 165)(15, 151, 31, 167)(16, 152, 33, 169)(18, 154, 37, 173)(19, 155, 39, 175)(20, 156, 41, 177)(22, 158, 45, 181)(23, 159, 46, 182)(24, 160, 48, 184)(26, 162, 52, 188)(27, 163, 54, 190)(28, 164, 56, 192)(30, 166, 60, 196)(32, 168, 63, 199)(34, 170, 49, 185)(35, 171, 68, 204)(36, 172, 51, 187)(38, 174, 73, 209)(40, 176, 65, 201)(42, 178, 78, 214)(43, 179, 80, 216)(44, 180, 81, 217)(47, 183, 85, 221)(50, 186, 66, 202)(53, 189, 92, 228)(55, 191, 77, 213)(57, 193, 62, 198)(58, 194, 61, 197)(59, 195, 97, 233)(64, 200, 100, 236)(67, 203, 107, 243)(69, 205, 98, 234)(70, 206, 102, 238)(71, 207, 96, 232)(72, 208, 104, 240)(74, 210, 115, 251)(75, 211, 117, 253)(76, 212, 119, 255)(79, 215, 90, 226)(82, 218, 88, 224)(83, 219, 124, 260)(84, 220, 86, 222)(87, 223, 116, 252)(89, 225, 103, 239)(91, 227, 122, 258)(93, 229, 109, 245)(94, 230, 130, 266)(95, 231, 125, 261)(99, 235, 134, 270)(101, 237, 120, 256)(105, 241, 128, 264)(106, 242, 108, 244)(110, 246, 118, 254)(111, 247, 126, 262)(112, 248, 136, 272)(113, 249, 135, 271)(114, 250, 133, 269)(121, 257, 132, 268)(123, 259, 129, 265)(127, 263, 131, 267)
	L = (1, 139)(2, 141)(3, 144)(4, 137)(5, 148)(6, 138)(7, 151)(8, 154)(9, 155)(10, 140)(11, 159)(12, 162)(13, 163)(14, 142)(15, 168)(16, 143)(17, 171)(18, 174)(19, 176)(20, 145)(21, 179)(22, 146)(23, 183)(24, 147)(25, 186)(26, 189)(27, 191)(28, 149)(29, 194)(30, 150)(31, 197)(32, 200)(33, 201)(34, 152)(35, 205)(36, 153)(37, 207)(38, 158)(39, 210)(40, 211)(41, 212)(42, 156)(43, 190)(44, 157)(45, 219)(46, 216)(47, 222)(48, 213)(49, 160)(50, 224)(51, 161)(52, 226)(53, 166)(54, 229)(55, 230)(56, 231)(57, 164)(58, 175)(59, 165)(60, 235)(61, 237)(62, 167)(63, 239)(64, 241)(65, 192)(66, 169)(67, 170)(68, 184)(69, 245)(70, 172)(71, 247)(72, 173)(73, 249)(74, 252)(75, 254)(76, 256)(77, 177)(78, 182)(79, 178)(80, 257)(81, 258)(82, 180)(83, 255)(84, 181)(85, 238)(86, 262)(87, 185)(88, 251)(89, 187)(90, 264)(91, 188)(92, 248)(93, 243)(94, 267)(95, 268)(96, 193)(97, 240)(98, 195)(99, 261)(100, 196)(101, 217)(102, 198)(103, 214)(104, 199)(105, 203)(106, 202)(107, 259)(108, 204)(109, 270)(110, 206)(111, 253)(112, 208)(113, 227)(114, 209)(115, 260)(116, 269)(117, 265)(118, 215)(119, 236)(120, 272)(121, 233)(122, 221)(123, 218)(124, 263)(125, 220)(126, 223)(127, 225)(128, 266)(129, 228)(130, 250)(131, 232)(132, 271)(133, 234)(134, 246)(135, 242)(136, 244)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Dual of E18.1063
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 68 e = 136 f = 34
	degree seq :: [ 4^68 ]

E18.1065 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-2 * X2^-1 * X1 * X2^4, X1^8, (X2 * X1^-1)^4, X1^-1 * X2^-1 * X1^2 * X2^2 * X1 * X2^-1 * X1^-2, X1 * X2^-2 * X1^2 * X2^2 * X1^-1 * X2 * X1^3 ]
Map::
	R = (1, 137, 2, 138, 6, 142, 16, 152, 40, 176, 34, 170, 13, 149, 4, 140)(3, 139, 9, 145, 23, 159, 57, 193, 103, 239, 68, 204, 29, 165, 11, 147)(5, 141, 14, 150, 35, 171, 77, 213, 99, 235, 51, 187, 20, 156, 7, 143)(8, 144, 21, 157, 52, 188, 100, 236, 130, 266, 89, 225, 44, 180, 17, 153)(10, 146, 25, 161, 60, 196, 102, 238, 128, 264, 91, 227, 46, 182, 27, 163)(12, 148, 30, 166, 63, 199, 93, 229, 129, 265, 116, 252, 72, 208, 32, 168)(15, 151, 38, 174, 74, 210, 117, 253, 127, 263, 88, 224, 64, 200, 36, 172)(18, 154, 45, 181, 90, 226, 131, 267, 113, 249, 124, 260, 83, 219, 41, 177)(19, 155, 47, 183, 26, 162, 62, 198, 109, 245, 126, 262, 85, 221, 49, 185)(22, 158, 55, 191, 31, 167, 70, 206, 115, 251, 79, 215, 95, 231, 53, 189)(24, 160, 58, 194, 105, 241, 132, 268, 92, 228, 50, 186, 96, 232, 56, 192)(28, 164, 65, 201, 39, 175, 69, 205, 97, 233, 120, 256, 101, 237, 54, 190)(33, 169, 73, 209, 108, 244, 61, 197, 98, 234, 134, 270, 118, 254, 75, 211)(37, 173, 71, 207, 106, 242, 59, 195, 107, 243, 66, 202, 82, 218, 78, 214)(42, 178, 84, 220, 125, 261, 104, 240, 135, 271, 119, 255, 121, 257, 80, 216)(43, 179, 86, 222, 48, 184, 94, 230, 133, 269, 114, 250, 123, 259, 87, 223)(67, 203, 111, 247, 136, 272, 110, 246, 76, 212, 81, 217, 122, 258, 112, 248)
	L = (1, 139)(2, 143)(3, 146)(4, 148)(5, 137)(6, 153)(7, 155)(8, 138)(9, 140)(10, 162)(11, 164)(12, 167)(13, 169)(14, 172)(15, 141)(16, 177)(17, 179)(18, 142)(19, 184)(20, 186)(21, 189)(22, 144)(23, 192)(24, 145)(25, 147)(26, 199)(27, 200)(28, 202)(29, 203)(30, 149)(31, 196)(32, 207)(33, 210)(34, 212)(35, 214)(36, 182)(37, 150)(38, 201)(39, 151)(40, 216)(41, 218)(42, 152)(43, 173)(44, 224)(45, 227)(46, 154)(47, 156)(48, 159)(49, 231)(50, 233)(51, 234)(52, 237)(53, 221)(54, 157)(55, 232)(56, 158)(57, 222)(58, 242)(59, 160)(60, 244)(61, 161)(62, 163)(63, 175)(64, 225)(65, 165)(66, 245)(67, 171)(68, 249)(69, 166)(70, 168)(71, 223)(72, 240)(73, 170)(74, 251)(75, 230)(76, 241)(77, 248)(78, 219)(79, 174)(80, 256)(81, 176)(82, 190)(83, 215)(84, 262)(85, 178)(86, 180)(87, 264)(88, 194)(89, 265)(90, 268)(91, 259)(92, 181)(93, 183)(94, 185)(95, 260)(96, 187)(97, 269)(98, 188)(99, 271)(100, 197)(101, 257)(102, 191)(103, 261)(104, 193)(105, 263)(106, 208)(107, 209)(108, 195)(109, 272)(110, 198)(111, 204)(112, 206)(113, 270)(114, 205)(115, 258)(116, 266)(117, 211)(118, 267)(119, 213)(120, 228)(121, 238)(122, 250)(123, 217)(124, 239)(125, 253)(126, 243)(127, 220)(128, 255)(129, 226)(130, 247)(131, 229)(132, 246)(133, 254)(134, 235)(135, 252)(136, 236)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E18.1062
Transitivity :: ET+ VT+
Graph::
	v = 17 e = 136 f = 85
	degree seq :: [ 16^17 ]

E18.1066 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = C17 : C8 (small group id <136, 12>)
Aut   = C17 : C8 (small group id <136, 12>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-3, X2 * X1^4 * X2^-2 * X1^-1, X2^8, (X1^-1 * X2)^4, (X1^-2 * X2^2)^2 ]
Map::
	R = (1, 137, 2, 138, 6, 142, 16, 152, 40, 176, 34, 170, 13, 149, 4, 140)(3, 139, 9, 145, 23, 159, 49, 185, 19, 155, 47, 183, 29, 165, 11, 147)(5, 141, 14, 150, 35, 171, 43, 179, 83, 219, 51, 187, 20, 156, 7, 143)(8, 144, 21, 157, 52, 188, 81, 217, 122, 258, 86, 222, 44, 180, 17, 153)(10, 146, 25, 161, 60, 196, 32, 168, 12, 148, 30, 166, 46, 182, 27, 163)(15, 151, 38, 174, 72, 208, 115, 251, 136, 272, 117, 253, 74, 210, 36, 172)(18, 154, 45, 181, 87, 223, 120, 256, 113, 249, 124, 260, 82, 218, 41, 177)(22, 158, 55, 191, 31, 167, 69, 205, 109, 245, 73, 209, 33, 169, 53, 189)(24, 160, 58, 194, 105, 241, 134, 270, 119, 255, 121, 257, 80, 216, 42, 178)(26, 162, 62, 198, 98, 234, 54, 190, 28, 164, 66, 202, 104, 240, 64, 200)(37, 173, 71, 207, 108, 244, 125, 261, 114, 250, 70, 206, 101, 237, 75, 211)(39, 175, 79, 215, 96, 232, 129, 265, 112, 248, 123, 259, 97, 233, 77, 213)(48, 184, 91, 227, 61, 197, 88, 224, 50, 186, 95, 231, 76, 212, 93, 229)(56, 192, 102, 238, 127, 263, 107, 243, 133, 269, 118, 254, 128, 264, 100, 236)(57, 193, 103, 239, 132, 268, 92, 228, 131, 267, 116, 252, 78, 214, 94, 230)(59, 195, 85, 221, 67, 203, 99, 235, 126, 262, 84, 220, 68, 204, 90, 226)(63, 199, 110, 246, 135, 271, 106, 242, 65, 201, 89, 225, 130, 266, 111, 247)
	L = (1, 139)(2, 143)(3, 146)(4, 148)(5, 137)(6, 153)(7, 155)(8, 138)(9, 140)(10, 162)(11, 164)(12, 167)(13, 169)(14, 172)(15, 141)(16, 177)(17, 179)(18, 142)(19, 184)(20, 186)(21, 189)(22, 144)(23, 178)(24, 145)(25, 147)(26, 199)(27, 201)(28, 203)(29, 204)(30, 149)(31, 206)(32, 207)(33, 208)(34, 210)(35, 211)(36, 176)(37, 150)(38, 213)(39, 151)(40, 216)(41, 217)(42, 152)(43, 220)(44, 221)(45, 166)(46, 154)(47, 156)(48, 228)(49, 230)(50, 232)(51, 233)(52, 234)(53, 170)(54, 157)(55, 236)(56, 158)(57, 159)(58, 226)(59, 160)(60, 227)(61, 161)(62, 163)(63, 175)(64, 248)(65, 249)(66, 165)(67, 222)(68, 171)(69, 168)(70, 243)(71, 231)(72, 252)(73, 239)(74, 241)(75, 251)(76, 173)(77, 219)(78, 174)(79, 247)(80, 256)(81, 259)(82, 215)(83, 180)(84, 261)(85, 263)(86, 264)(87, 197)(88, 181)(89, 182)(90, 183)(91, 185)(92, 192)(93, 269)(94, 270)(95, 187)(96, 260)(97, 188)(98, 205)(99, 190)(100, 258)(101, 191)(102, 268)(103, 202)(104, 193)(105, 271)(106, 194)(107, 195)(108, 196)(109, 198)(110, 200)(111, 272)(112, 267)(113, 257)(114, 262)(115, 209)(116, 265)(117, 266)(118, 212)(119, 214)(120, 254)(121, 238)(122, 218)(123, 240)(124, 242)(125, 225)(126, 246)(127, 255)(128, 223)(129, 224)(130, 244)(131, 229)(132, 245)(133, 250)(134, 253)(135, 235)(136, 237)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: chiral
Dual of E18.1061
Transitivity :: ET+ VT+
Graph::
	v = 17 e = 136 f = 85
	degree seq :: [ 16^17 ]

E18.1067 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 72})
Quotient :: regular
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T2 * T1^-1 * T2 * T1^35, T1^-2 * T2 * T1^17 * T2 * T1^-17 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 71, 73, 77, 84, 89, 93, 97, 101, 106, 144, 143, 139, 135, 131, 127, 121, 126, 122, 109, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 82, 74, 78, 75, 79, 85, 90, 94, 98, 102, 107, 141, 136, 132, 128, 123, 117, 113, 111, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 81, 69, 80, 76, 91, 88, 99, 96, 108, 104, 142, 138, 133, 130, 124, 120, 114, 119, 105, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 70, 86, 72, 87, 83, 95, 92, 103, 100, 140, 110, 137, 134, 129, 125, 118, 116, 112, 115, 62, 55, 46, 39, 30, 22, 12, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 105)(63, 82)(67, 109)(68, 70)(69, 111)(71, 112)(72, 113)(73, 114)(74, 115)(75, 116)(76, 117)(77, 118)(78, 119)(79, 120)(80, 121)(81, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 141)(101, 142)(102, 110)(103, 143)(104, 107)(106, 140)(108, 144)
	local type(s) :: { ( 4^72 ) }
Outer automorphisms :: reflexible
Dual of E18.1068
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 72 f = 36
	degree seq :: [ 72^2 ]

E18.1068 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 72})
Quotient :: regular
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|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^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 42, 38, 40)(39, 60, 43, 59)(41, 64, 46, 66)(44, 67, 45, 63)(47, 70, 48, 65)(49, 69, 50, 68)(51, 72, 52, 71)(53, 74, 54, 73)(55, 76, 56, 75)(57, 78, 58, 77)(61, 80, 62, 79)(81, 83, 82, 84)(85, 90, 86, 88)(87, 108, 91, 107)(89, 112, 94, 114)(92, 115, 93, 111)(95, 118, 96, 113)(97, 117, 98, 116)(99, 120, 100, 119)(101, 122, 102, 121)(103, 124, 104, 123)(105, 126, 106, 125)(109, 128, 110, 127)(129, 131, 130, 132)(133, 138, 134, 136)(135, 144, 139, 143)(137, 141, 142, 140)
	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, 63)(40, 64)(41, 65)(42, 66)(43, 67)(44, 68)(45, 69)(46, 70)(47, 71)(48, 72)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(61, 85)(62, 86)(83, 107)(84, 108)(87, 111)(88, 112)(89, 113)(90, 114)(91, 115)(92, 116)(93, 117)(94, 118)(95, 119)(96, 120)(97, 121)(98, 122)(99, 123)(100, 124)(101, 125)(102, 126)(103, 127)(104, 128)(105, 129)(106, 130)(109, 133)(110, 134)(131, 143)(132, 144)(135, 142)(136, 141)(137, 139)(138, 140)
	local type(s) :: { ( 72^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1067
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 36 e = 72 f = 2
	degree seq :: [ 4^36 ]

E18.1069 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 72})
Quotient :: edge
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|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^-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, 44, 36, 39)(40, 57, 41, 59)(42, 68, 43, 61)(45, 65, 46, 63)(47, 70, 48, 67)(49, 75, 50, 73)(51, 79, 52, 77)(53, 83, 54, 81)(55, 87, 56, 85)(58, 91, 60, 89)(62, 93, 72, 95)(64, 98, 66, 97)(69, 101, 71, 102)(74, 104, 76, 105)(78, 108, 80, 109)(82, 113, 84, 114)(86, 117, 88, 118)(90, 121, 92, 122)(94, 125, 96, 126)(99, 129, 100, 130)(103, 134, 112, 133)(106, 137, 107, 138)(110, 142, 111, 141)(115, 144, 116, 143)(119, 139, 120, 140)(123, 136, 124, 135)(127, 132, 128, 131)(145, 146)(147, 151)(148, 153)(149, 154)(150, 156)(152, 155)(157, 161)(158, 162)(159, 163)(160, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 179)(176, 180)(181, 201)(182, 203)(183, 205)(184, 207)(185, 209)(186, 211)(187, 214)(188, 212)(189, 217)(190, 219)(191, 221)(192, 223)(193, 225)(194, 227)(195, 229)(196, 231)(197, 233)(198, 235)(199, 237)(200, 239)(202, 242)(204, 241)(206, 246)(208, 249)(210, 248)(213, 253)(215, 252)(216, 245)(218, 258)(220, 257)(222, 262)(224, 261)(226, 266)(228, 265)(230, 270)(232, 269)(234, 274)(236, 273)(238, 278)(240, 277)(243, 281)(244, 282)(247, 285)(250, 287)(251, 288)(254, 284)(255, 283)(256, 286)(259, 279)(260, 280)(263, 275)(264, 276)(267, 272)(268, 271)
	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 ), ( 144^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1073
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 144 f = 2
	degree seq :: [ 2^72, 4^36 ]

E18.1070 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 72})
Quotient :: edge
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-36 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 77, 81, 85, 89, 93, 97, 103, 105, 109, 116, 124, 132, 140, 136, 130, 120, 114, 106, 98, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 70, 72, 75, 79, 83, 87, 91, 95, 101, 119, 127, 135, 143, 144, 138, 128, 122, 112, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 73, 76, 80, 84, 88, 92, 96, 102, 107, 113, 121, 129, 137, 139, 133, 123, 117, 108, 100, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 71, 74, 78, 82, 86, 90, 94, 99, 111, 118, 126, 134, 142, 141, 131, 125, 115, 110, 104, 64, 56, 48, 40, 32, 24, 16, 8)(145, 146, 150, 148)(147, 153, 157, 152)(149, 155, 158, 151)(154, 160, 165, 161)(156, 159, 166, 163)(162, 169, 173, 168)(164, 171, 174, 167)(170, 176, 181, 177)(172, 175, 182, 179)(178, 185, 189, 184)(180, 187, 190, 183)(186, 192, 197, 193)(188, 191, 198, 195)(194, 201, 205, 200)(196, 203, 206, 199)(202, 208, 213, 209)(204, 207, 242, 211)(210, 244, 214, 248)(212, 215, 250, 217)(216, 252, 221, 254)(218, 256, 220, 258)(219, 259, 225, 261)(222, 264, 224, 266)(223, 267, 229, 269)(226, 272, 228, 274)(227, 275, 233, 277)(230, 280, 232, 282)(231, 283, 237, 285)(234, 288, 236, 284)(235, 286, 241, 281)(238, 276, 240, 287)(239, 273, 247, 278)(243, 279, 246, 268)(245, 270, 249, 265)(251, 271, 255, 260)(253, 262, 263, 257)
	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) :: { ( 4^4 ), ( 4^72 ) }
Outer automorphisms :: reflexible
Dual of E18.1074
Transitivity :: ET+
Graph:: bipartite
	v = 38 e = 144 f = 72
	degree seq :: [ 4^36, 72^2 ]

E18.1071 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 72})
Quotient :: edge
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^35, T1^-2 * T2 * T1^17 * T2 * T1^-17 ]
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, 75)(63, 107)(67, 73)(68, 111)(69, 113)(70, 109)(71, 116)(72, 118)(74, 121)(76, 124)(77, 126)(78, 128)(79, 130)(80, 105)(81, 133)(82, 135)(83, 137)(84, 138)(85, 139)(86, 141)(87, 143)(88, 131)(89, 129)(90, 144)(91, 140)(92, 122)(93, 119)(94, 136)(95, 134)(96, 117)(97, 114)(98, 142)(99, 125)(100, 127)(101, 115)(102, 112)(103, 132)(104, 108)(106, 120)(110, 123)(145, 146, 149, 155, 164, 173, 181, 189, 197, 205, 249, 268, 277, 283, 288, 280, 286, 256, 248, 244, 240, 236, 232, 227, 222, 216, 213, 214, 217, 210, 202, 194, 186, 178, 170, 160, 167, 161, 168, 176, 184, 192, 200, 208, 251, 270, 260, 265, 274, 282, 273, 263, 258, 259, 264, 254, 247, 243, 239, 235, 231, 226, 230, 212, 204, 196, 188, 180, 172, 163, 154, 148)(147, 151, 159, 169, 177, 185, 193, 201, 209, 253, 285, 262, 287, 281, 278, 266, 276, 271, 250, 246, 241, 238, 233, 229, 223, 220, 215, 219, 207, 198, 191, 182, 175, 165, 158, 150, 157, 153, 162, 171, 179, 187, 195, 203, 211, 255, 257, 279, 272, 284, 275, 269, 261, 267, 252, 245, 242, 237, 234, 228, 225, 218, 224, 221, 206, 199, 190, 183, 174, 166, 156, 152)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 8 ), ( 8^72 ) }
Outer automorphisms :: reflexible
Dual of E18.1072
Transitivity :: ET+
Graph:: simple bipartite
	v = 74 e = 144 f = 36
	degree seq :: [ 2^72, 72^2 ]

E18.1072 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 72})
Quotient :: loop
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|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^-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, 145, 3, 147, 8, 152, 4, 148)(2, 146, 5, 149, 11, 155, 6, 150)(7, 151, 13, 157, 9, 153, 14, 158)(10, 154, 15, 159, 12, 156, 16, 160)(17, 161, 21, 165, 18, 162, 22, 166)(19, 163, 23, 167, 20, 164, 24, 168)(25, 169, 29, 173, 26, 170, 30, 174)(27, 171, 31, 175, 28, 172, 32, 176)(33, 177, 37, 181, 34, 178, 38, 182)(35, 179, 73, 217, 36, 180, 75, 219)(39, 183, 80, 224, 46, 190, 81, 225)(40, 184, 83, 227, 49, 193, 84, 228)(41, 185, 85, 229, 42, 186, 86, 230)(43, 187, 87, 231, 44, 188, 88, 232)(45, 189, 90, 234, 47, 191, 79, 223)(48, 192, 93, 237, 50, 194, 82, 226)(51, 195, 95, 239, 52, 196, 96, 240)(53, 197, 97, 241, 54, 198, 98, 242)(55, 199, 91, 235, 56, 200, 89, 233)(57, 201, 94, 238, 58, 202, 92, 236)(59, 203, 103, 247, 60, 204, 104, 248)(61, 205, 105, 249, 62, 206, 106, 250)(63, 207, 100, 244, 64, 208, 99, 243)(65, 209, 102, 246, 66, 210, 101, 245)(67, 211, 111, 255, 68, 212, 112, 256)(69, 213, 78, 222, 70, 214, 77, 221)(71, 215, 108, 252, 72, 216, 107, 251)(74, 218, 110, 254, 76, 220, 109, 253)(113, 257, 117, 261, 114, 258, 118, 262)(115, 259, 144, 288, 116, 260, 143, 287)(119, 263, 135, 279, 130, 274, 136, 280)(120, 264, 126, 270, 121, 265, 125, 269)(122, 266, 137, 281, 133, 277, 138, 282)(123, 267, 128, 272, 124, 268, 127, 271)(129, 273, 139, 283, 131, 275, 140, 284)(132, 276, 141, 285, 134, 278, 142, 286)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 154)(6, 156)(7, 147)(8, 155)(9, 148)(10, 149)(11, 152)(12, 150)(13, 161)(14, 162)(15, 163)(16, 164)(17, 157)(18, 158)(19, 159)(20, 160)(21, 169)(22, 170)(23, 171)(24, 172)(25, 165)(26, 166)(27, 167)(28, 168)(29, 177)(30, 178)(31, 179)(32, 180)(33, 173)(34, 174)(35, 175)(36, 176)(37, 221)(38, 222)(39, 223)(40, 226)(41, 227)(42, 228)(43, 224)(44, 225)(45, 233)(46, 234)(47, 235)(48, 236)(49, 237)(50, 238)(51, 229)(52, 230)(53, 231)(54, 232)(55, 243)(56, 244)(57, 245)(58, 246)(59, 239)(60, 240)(61, 241)(62, 242)(63, 251)(64, 252)(65, 253)(66, 254)(67, 247)(68, 248)(69, 249)(70, 250)(71, 257)(72, 258)(73, 256)(74, 259)(75, 255)(76, 260)(77, 181)(78, 182)(79, 183)(80, 187)(81, 188)(82, 184)(83, 185)(84, 186)(85, 195)(86, 196)(87, 197)(88, 198)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 203)(96, 204)(97, 205)(98, 206)(99, 199)(100, 200)(101, 201)(102, 202)(103, 211)(104, 212)(105, 213)(106, 214)(107, 207)(108, 208)(109, 209)(110, 210)(111, 219)(112, 217)(113, 215)(114, 216)(115, 218)(116, 220)(117, 276)(118, 278)(119, 284)(120, 279)(121, 280)(122, 286)(123, 281)(124, 282)(125, 272)(126, 271)(127, 270)(128, 269)(129, 288)(130, 283)(131, 287)(132, 261)(133, 285)(134, 262)(135, 264)(136, 265)(137, 267)(138, 268)(139, 274)(140, 263)(141, 277)(142, 266)(143, 275)(144, 273)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E18.1071
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 74
	degree seq :: [ 8^36 ]

E18.1073 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 72})
Quotient :: loop
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T1^-1 * T2^-36 * T1^-1 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 18, 162, 26, 170, 34, 178, 42, 186, 50, 194, 58, 202, 66, 210, 74, 218, 81, 225, 85, 229, 89, 233, 93, 237, 97, 241, 101, 245, 105, 249, 134, 278, 122, 266, 112, 256, 118, 262, 131, 275, 140, 284, 138, 282, 124, 268, 116, 260, 127, 271, 106, 250, 62, 206, 54, 198, 46, 190, 38, 182, 30, 174, 22, 166, 14, 158, 6, 150, 13, 157, 21, 165, 29, 173, 37, 181, 45, 189, 53, 197, 61, 205, 80, 224, 73, 217, 69, 213, 71, 215, 78, 222, 83, 227, 87, 231, 91, 235, 95, 239, 99, 243, 103, 247, 109, 253, 123, 267, 135, 279, 143, 287, 144, 288, 136, 280, 126, 270, 114, 258, 68, 212, 60, 204, 52, 196, 44, 188, 36, 180, 28, 172, 20, 164, 12, 156, 5, 149)(2, 146, 7, 151, 15, 159, 23, 167, 31, 175, 39, 183, 47, 191, 55, 199, 63, 207, 77, 221, 72, 216, 79, 223, 84, 228, 88, 232, 92, 236, 96, 240, 100, 244, 104, 248, 110, 254, 128, 272, 115, 259, 125, 269, 137, 281, 141, 285, 130, 274, 119, 263, 111, 255, 108, 252, 65, 209, 57, 201, 49, 193, 41, 185, 33, 177, 25, 169, 17, 161, 9, 153, 4, 148, 11, 155, 19, 163, 27, 171, 35, 179, 43, 187, 51, 195, 59, 203, 67, 211, 76, 220, 70, 214, 75, 219, 82, 226, 86, 230, 90, 234, 94, 238, 98, 242, 102, 246, 107, 251, 129, 273, 120, 264, 133, 277, 142, 286, 139, 283, 132, 276, 117, 261, 113, 257, 121, 265, 64, 208, 56, 200, 48, 192, 40, 184, 32, 176, 24, 168, 16, 160, 8, 152)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 148)(7, 149)(8, 147)(9, 157)(10, 160)(11, 158)(12, 159)(13, 152)(14, 151)(15, 166)(16, 165)(17, 154)(18, 169)(19, 156)(20, 171)(21, 161)(22, 163)(23, 164)(24, 162)(25, 173)(26, 176)(27, 174)(28, 175)(29, 168)(30, 167)(31, 182)(32, 181)(33, 170)(34, 185)(35, 172)(36, 187)(37, 177)(38, 179)(39, 180)(40, 178)(41, 189)(42, 192)(43, 190)(44, 191)(45, 184)(46, 183)(47, 198)(48, 197)(49, 186)(50, 201)(51, 188)(52, 203)(53, 193)(54, 195)(55, 196)(56, 194)(57, 205)(58, 208)(59, 206)(60, 207)(61, 200)(62, 199)(63, 250)(64, 224)(65, 202)(66, 252)(67, 204)(68, 220)(69, 255)(70, 258)(71, 261)(72, 260)(73, 265)(74, 257)(75, 268)(76, 271)(77, 212)(78, 274)(79, 270)(80, 209)(81, 263)(82, 280)(83, 283)(84, 282)(85, 276)(86, 284)(87, 281)(88, 288)(89, 285)(90, 287)(91, 277)(92, 275)(93, 286)(94, 262)(95, 259)(96, 279)(97, 269)(98, 267)(99, 273)(100, 256)(101, 264)(102, 266)(103, 254)(104, 253)(105, 272)(106, 211)(107, 247)(108, 217)(109, 246)(110, 278)(111, 218)(112, 242)(113, 213)(114, 216)(115, 245)(116, 214)(117, 225)(118, 240)(119, 215)(120, 239)(121, 210)(122, 248)(123, 244)(124, 223)(125, 235)(126, 219)(127, 221)(128, 243)(129, 249)(130, 229)(131, 234)(132, 222)(133, 241)(134, 251)(135, 238)(136, 228)(137, 237)(138, 226)(139, 233)(140, 232)(141, 227)(142, 231)(143, 236)(144, 230)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1069
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 144 f = 108
	degree seq :: [ 144^2 ]

E18.1074 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 72})
Quotient :: loop
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^35, T1^-2 * T2 * T1^17 * T2 * T1^-17 ]
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, 26, 170)(19, 163, 27, 171)(20, 164, 30, 174)(22, 166, 32, 176)(25, 169, 34, 178)(28, 172, 33, 177)(29, 173, 38, 182)(31, 175, 40, 184)(35, 179, 42, 186)(36, 180, 43, 187)(37, 181, 46, 190)(39, 183, 48, 192)(41, 185, 50, 194)(44, 188, 49, 193)(45, 189, 54, 198)(47, 191, 56, 200)(51, 195, 58, 202)(52, 196, 59, 203)(53, 197, 62, 206)(55, 199, 64, 208)(57, 201, 66, 210)(60, 204, 65, 209)(61, 205, 83, 227)(63, 207, 111, 255)(67, 211, 79, 223)(68, 212, 115, 259)(69, 213, 117, 261)(70, 214, 119, 263)(71, 215, 121, 265)(72, 216, 123, 267)(73, 217, 113, 257)(74, 218, 126, 270)(75, 219, 128, 272)(76, 220, 130, 274)(77, 221, 109, 253)(78, 222, 127, 271)(80, 224, 134, 278)(81, 225, 135, 279)(82, 226, 124, 268)(84, 228, 137, 281)(85, 229, 139, 283)(86, 230, 141, 285)(87, 231, 122, 266)(88, 232, 143, 287)(89, 233, 118, 262)(90, 234, 144, 288)(91, 235, 131, 275)(92, 236, 132, 276)(93, 237, 140, 284)(94, 238, 120, 264)(95, 239, 136, 280)(96, 240, 138, 282)(97, 241, 116, 260)(98, 242, 125, 269)(99, 243, 129, 273)(100, 244, 110, 254)(101, 245, 108, 252)(102, 246, 133, 277)(103, 247, 142, 286)(104, 248, 105, 249)(106, 250, 114, 258)(107, 251, 112, 256)
	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, 167)(17, 168)(18, 171)(19, 154)(20, 173)(21, 158)(22, 156)(23, 161)(24, 176)(25, 177)(26, 160)(27, 179)(28, 163)(29, 181)(30, 166)(31, 165)(32, 184)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 175)(39, 174)(40, 192)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 183)(47, 182)(48, 200)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 191)(55, 190)(56, 208)(57, 209)(58, 194)(59, 211)(60, 196)(61, 253)(62, 199)(63, 198)(64, 255)(65, 257)(66, 202)(67, 259)(68, 204)(69, 214)(70, 217)(71, 219)(72, 213)(73, 223)(74, 225)(75, 227)(76, 215)(77, 230)(78, 216)(79, 210)(80, 220)(81, 221)(82, 218)(83, 207)(84, 234)(85, 212)(86, 206)(87, 222)(88, 226)(89, 224)(90, 229)(91, 228)(92, 231)(93, 233)(94, 232)(95, 235)(96, 236)(97, 238)(98, 237)(99, 239)(100, 240)(101, 242)(102, 241)(103, 243)(104, 244)(105, 246)(106, 245)(107, 247)(108, 248)(109, 265)(110, 250)(111, 285)(112, 249)(113, 283)(114, 251)(115, 263)(116, 252)(117, 281)(118, 264)(119, 288)(120, 269)(121, 270)(122, 273)(123, 275)(124, 262)(125, 277)(126, 278)(127, 280)(128, 279)(129, 282)(130, 268)(131, 266)(132, 286)(133, 258)(134, 287)(135, 274)(136, 276)(137, 271)(138, 256)(139, 261)(140, 260)(141, 272)(142, 254)(143, 284)(144, 267)
	local type(s) :: { ( 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E18.1070
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 38
	degree seq :: [ 4^72 ]

E18.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^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^-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)^72 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 11, 155)(13, 157, 17, 161)(14, 158, 18, 162)(15, 159, 19, 163)(16, 160, 20, 164)(21, 165, 25, 169)(22, 166, 26, 170)(23, 167, 27, 171)(24, 168, 28, 172)(29, 173, 33, 177)(30, 174, 34, 178)(31, 175, 35, 179)(32, 176, 36, 180)(37, 181, 61, 205)(38, 182, 62, 206)(39, 183, 63, 207)(40, 184, 64, 208)(41, 185, 65, 209)(42, 186, 66, 210)(43, 187, 67, 211)(44, 188, 68, 212)(45, 189, 69, 213)(46, 190, 70, 214)(47, 191, 71, 215)(48, 192, 72, 216)(49, 193, 73, 217)(50, 194, 74, 218)(51, 195, 75, 219)(52, 196, 76, 220)(53, 197, 77, 221)(54, 198, 78, 222)(55, 199, 79, 223)(56, 200, 80, 224)(57, 201, 81, 225)(58, 202, 82, 226)(59, 203, 83, 227)(60, 204, 84, 228)(85, 229, 109, 253)(86, 230, 110, 254)(87, 231, 111, 255)(88, 232, 112, 256)(89, 233, 113, 257)(90, 234, 114, 258)(91, 235, 115, 259)(92, 236, 116, 260)(93, 237, 117, 261)(94, 238, 118, 262)(95, 239, 119, 263)(96, 240, 120, 264)(97, 241, 121, 265)(98, 242, 122, 266)(99, 243, 123, 267)(100, 244, 124, 268)(101, 245, 125, 269)(102, 246, 126, 270)(103, 247, 127, 271)(104, 248, 128, 272)(105, 249, 129, 273)(106, 250, 130, 274)(107, 251, 131, 275)(108, 252, 132, 276)(133, 277, 142, 286)(134, 278, 144, 288)(135, 279, 143, 287)(136, 280, 140, 284)(137, 281, 141, 285)(138, 282, 139, 283)(289, 433, 291, 435, 296, 440, 292, 436)(290, 434, 293, 437, 299, 443, 294, 438)(295, 439, 301, 445, 297, 441, 302, 446)(298, 442, 303, 447, 300, 444, 304, 448)(305, 449, 309, 453, 306, 450, 310, 454)(307, 451, 311, 455, 308, 452, 312, 456)(313, 457, 317, 461, 314, 458, 318, 462)(315, 459, 319, 463, 316, 460, 320, 464)(321, 465, 325, 469, 322, 466, 326, 470)(323, 467, 330, 474, 324, 468, 329, 473)(327, 471, 350, 494, 332, 476, 349, 493)(328, 472, 353, 497, 335, 479, 354, 498)(331, 475, 356, 500, 333, 477, 351, 495)(334, 478, 359, 503, 336, 480, 352, 496)(337, 481, 357, 501, 338, 482, 355, 499)(339, 483, 360, 504, 340, 484, 358, 502)(341, 485, 362, 506, 342, 486, 361, 505)(343, 487, 364, 508, 344, 488, 363, 507)(345, 489, 366, 510, 346, 490, 365, 509)(347, 491, 368, 512, 348, 492, 367, 511)(369, 513, 373, 517, 370, 514, 374, 518)(371, 515, 378, 522, 372, 516, 377, 521)(375, 519, 398, 542, 380, 524, 397, 541)(376, 520, 401, 545, 383, 527, 402, 546)(379, 523, 404, 548, 381, 525, 399, 543)(382, 526, 407, 551, 384, 528, 400, 544)(385, 529, 405, 549, 386, 530, 403, 547)(387, 531, 408, 552, 388, 532, 406, 550)(389, 533, 410, 554, 390, 534, 409, 553)(391, 535, 412, 556, 392, 536, 411, 555)(393, 537, 414, 558, 394, 538, 413, 557)(395, 539, 416, 560, 396, 540, 415, 559)(417, 561, 421, 565, 418, 562, 422, 566)(419, 563, 426, 570, 420, 564, 425, 569)(423, 567, 432, 576, 428, 572, 430, 574)(424, 568, 429, 573, 431, 575, 427, 571)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 298)(6, 300)(7, 291)(8, 299)(9, 292)(10, 293)(11, 296)(12, 294)(13, 305)(14, 306)(15, 307)(16, 308)(17, 301)(18, 302)(19, 303)(20, 304)(21, 313)(22, 314)(23, 315)(24, 316)(25, 309)(26, 310)(27, 311)(28, 312)(29, 321)(30, 322)(31, 323)(32, 324)(33, 317)(34, 318)(35, 319)(36, 320)(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, 325)(62, 326)(63, 327)(64, 328)(65, 329)(66, 330)(67, 331)(68, 332)(69, 333)(70, 334)(71, 335)(72, 336)(73, 337)(74, 338)(75, 339)(76, 340)(77, 341)(78, 342)(79, 343)(80, 344)(81, 345)(82, 346)(83, 347)(84, 348)(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, 373)(110, 374)(111, 375)(112, 376)(113, 377)(114, 378)(115, 379)(116, 380)(117, 381)(118, 382)(119, 383)(120, 384)(121, 385)(122, 386)(123, 387)(124, 388)(125, 389)(126, 390)(127, 391)(128, 392)(129, 393)(130, 394)(131, 395)(132, 396)(133, 430)(134, 432)(135, 431)(136, 428)(137, 429)(138, 427)(139, 426)(140, 424)(141, 425)(142, 421)(143, 423)(144, 422)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 144, 2, 144 ), ( 2, 144, 2, 144, 2, 144, 2, 144 ) }
Outer automorphisms :: reflexible
Dual of E18.1078
Graph:: bipartite
	v = 108 e = 288 f = 146
	degree seq :: [ 4^72, 8^36 ]

E18.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y1^-1 * Y2^-36 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 13, 157, 8, 152)(5, 149, 11, 155, 14, 158, 7, 151)(10, 154, 16, 160, 21, 165, 17, 161)(12, 156, 15, 159, 22, 166, 19, 163)(18, 162, 25, 169, 29, 173, 24, 168)(20, 164, 27, 171, 30, 174, 23, 167)(26, 170, 32, 176, 37, 181, 33, 177)(28, 172, 31, 175, 38, 182, 35, 179)(34, 178, 41, 185, 45, 189, 40, 184)(36, 180, 43, 187, 46, 190, 39, 183)(42, 186, 48, 192, 53, 197, 49, 193)(44, 188, 47, 191, 54, 198, 51, 195)(50, 194, 57, 201, 61, 205, 56, 200)(52, 196, 59, 203, 62, 206, 55, 199)(58, 202, 64, 208, 121, 265, 65, 209)(60, 204, 63, 207, 114, 258, 67, 211)(66, 210, 112, 256, 144, 288, 104, 248)(68, 212, 127, 271, 108, 252, 123, 267)(69, 213, 128, 272, 74, 218, 124, 268)(70, 214, 119, 263, 72, 216, 129, 273)(71, 215, 118, 262, 81, 225, 120, 264)(73, 217, 130, 274, 82, 226, 131, 275)(75, 219, 122, 266, 79, 223, 115, 259)(76, 220, 132, 276, 77, 221, 126, 270)(78, 222, 116, 260, 89, 233, 113, 257)(80, 224, 133, 277, 90, 234, 134, 278)(83, 227, 109, 253, 87, 231, 117, 261)(84, 228, 135, 279, 85, 229, 136, 280)(86, 230, 107, 251, 97, 241, 110, 254)(88, 232, 137, 281, 98, 242, 138, 282)(91, 235, 111, 255, 95, 239, 102, 246)(92, 236, 139, 283, 93, 237, 140, 284)(94, 238, 103, 247, 105, 249, 99, 243)(96, 240, 125, 269, 106, 250, 141, 285)(100, 244, 142, 286, 101, 245, 143, 287)(289, 433, 291, 435, 298, 442, 306, 450, 314, 458, 322, 466, 330, 474, 338, 482, 346, 490, 354, 498, 413, 557, 425, 569, 421, 565, 418, 562, 416, 560, 406, 550, 404, 548, 395, 539, 391, 535, 379, 523, 375, 519, 363, 507, 360, 504, 364, 508, 373, 517, 380, 524, 389, 533, 396, 540, 402, 546, 350, 494, 342, 486, 334, 478, 326, 470, 318, 462, 310, 454, 302, 446, 294, 438, 301, 445, 309, 453, 317, 461, 325, 469, 333, 477, 341, 485, 349, 493, 409, 553, 432, 576, 429, 573, 426, 570, 422, 566, 419, 563, 412, 556, 408, 552, 401, 545, 398, 542, 387, 531, 383, 527, 371, 515, 367, 511, 358, 502, 365, 509, 372, 516, 381, 525, 388, 532, 356, 500, 348, 492, 340, 484, 332, 476, 324, 468, 316, 460, 308, 452, 300, 444, 293, 437)(290, 434, 295, 439, 303, 447, 311, 455, 319, 463, 327, 471, 335, 479, 343, 487, 351, 495, 411, 555, 430, 574, 427, 571, 423, 567, 420, 564, 407, 551, 410, 554, 397, 541, 399, 543, 382, 526, 385, 529, 366, 510, 369, 513, 357, 501, 370, 514, 368, 512, 386, 530, 384, 528, 400, 544, 353, 497, 345, 489, 337, 481, 329, 473, 321, 465, 313, 457, 305, 449, 297, 441, 292, 436, 299, 443, 307, 451, 315, 459, 323, 467, 331, 475, 339, 483, 347, 491, 355, 499, 415, 559, 431, 575, 428, 572, 424, 568, 414, 558, 417, 561, 403, 547, 405, 549, 390, 534, 393, 537, 374, 518, 377, 521, 359, 503, 362, 506, 361, 505, 378, 522, 376, 520, 394, 538, 392, 536, 352, 496, 344, 488, 336, 480, 328, 472, 320, 464, 312, 456, 304, 448, 296, 440)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 301)(7, 303)(8, 290)(9, 292)(10, 306)(11, 307)(12, 293)(13, 309)(14, 294)(15, 311)(16, 296)(17, 297)(18, 314)(19, 315)(20, 300)(21, 317)(22, 302)(23, 319)(24, 304)(25, 305)(26, 322)(27, 323)(28, 308)(29, 325)(30, 310)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 333)(38, 318)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 341)(46, 326)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 349)(54, 334)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 409)(62, 342)(63, 411)(64, 344)(65, 345)(66, 413)(67, 415)(68, 348)(69, 370)(70, 365)(71, 362)(72, 364)(73, 378)(74, 361)(75, 360)(76, 373)(77, 372)(78, 369)(79, 358)(80, 386)(81, 357)(82, 368)(83, 367)(84, 381)(85, 380)(86, 377)(87, 363)(88, 394)(89, 359)(90, 376)(91, 375)(92, 389)(93, 388)(94, 385)(95, 371)(96, 400)(97, 366)(98, 384)(99, 383)(100, 356)(101, 396)(102, 393)(103, 379)(104, 352)(105, 374)(106, 392)(107, 391)(108, 402)(109, 399)(110, 387)(111, 382)(112, 353)(113, 398)(114, 350)(115, 405)(116, 395)(117, 390)(118, 404)(119, 410)(120, 401)(121, 432)(122, 397)(123, 430)(124, 408)(125, 425)(126, 417)(127, 431)(128, 406)(129, 403)(130, 416)(131, 412)(132, 407)(133, 418)(134, 419)(135, 420)(136, 414)(137, 421)(138, 422)(139, 423)(140, 424)(141, 426)(142, 427)(143, 428)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E18.1077
Graph:: bipartite
	v = 38 e = 288 f = 216
	degree seq :: [ 8^36, 144^2 ]

E18.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|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, Y3^33 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^72 ]
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, 308, 452)(304, 448, 311, 455)(305, 449, 313, 457)(306, 450, 309, 453)(307, 451, 315, 459)(310, 454, 317, 461)(312, 456, 319, 463)(314, 458, 320, 464)(316, 460, 318, 462)(321, 465, 327, 471)(322, 466, 329, 473)(323, 467, 325, 469)(324, 468, 331, 475)(326, 470, 333, 477)(328, 472, 335, 479)(330, 474, 336, 480)(332, 476, 334, 478)(337, 481, 343, 487)(338, 482, 345, 489)(339, 483, 341, 485)(340, 484, 347, 491)(342, 486, 349, 493)(344, 488, 351, 495)(346, 490, 352, 496)(348, 492, 350, 494)(353, 497, 359, 503)(354, 498, 392, 536)(355, 499, 393, 537)(356, 500, 368, 512)(357, 501, 395, 539)(358, 502, 396, 540)(360, 504, 397, 541)(361, 505, 398, 542)(362, 506, 399, 543)(363, 507, 400, 544)(364, 508, 401, 545)(365, 509, 402, 546)(366, 510, 403, 547)(367, 511, 404, 548)(369, 513, 405, 549)(370, 514, 406, 550)(371, 515, 407, 551)(372, 516, 408, 552)(373, 517, 409, 553)(374, 518, 410, 554)(375, 519, 411, 555)(376, 520, 412, 556)(377, 521, 413, 557)(378, 522, 414, 558)(379, 523, 415, 559)(380, 524, 416, 560)(381, 525, 417, 561)(382, 526, 418, 562)(383, 527, 419, 563)(384, 528, 420, 564)(385, 529, 422, 566)(386, 530, 423, 567)(387, 531, 424, 568)(388, 532, 425, 569)(389, 533, 427, 571)(390, 534, 428, 572)(391, 535, 430, 574)(394, 538, 429, 573)(421, 565, 432, 576)(426, 570, 431, 575)
	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, 314)(18, 315)(19, 298)(20, 301)(21, 299)(22, 318)(23, 319)(24, 302)(25, 304)(26, 322)(27, 323)(28, 307)(29, 309)(30, 326)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 317)(38, 334)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 325)(46, 342)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 333)(54, 350)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 341)(62, 357)(63, 359)(64, 344)(65, 345)(66, 361)(67, 368)(68, 348)(69, 363)(70, 369)(71, 365)(72, 366)(73, 364)(74, 373)(75, 362)(76, 371)(77, 360)(78, 370)(79, 377)(80, 358)(81, 367)(82, 375)(83, 374)(84, 381)(85, 372)(86, 379)(87, 378)(88, 385)(89, 376)(90, 383)(91, 382)(92, 389)(93, 380)(94, 387)(95, 386)(96, 421)(97, 384)(98, 391)(99, 390)(100, 426)(101, 388)(102, 429)(103, 431)(104, 353)(105, 349)(106, 430)(107, 393)(108, 395)(109, 392)(110, 402)(111, 396)(112, 356)(113, 397)(114, 352)(115, 398)(116, 399)(117, 400)(118, 401)(119, 403)(120, 404)(121, 405)(122, 406)(123, 407)(124, 408)(125, 409)(126, 410)(127, 411)(128, 412)(129, 413)(130, 414)(131, 415)(132, 416)(133, 394)(134, 417)(135, 418)(136, 419)(137, 420)(138, 428)(139, 422)(140, 423)(141, 425)(142, 424)(143, 432)(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) :: { ( 8, 144 ), ( 8, 144, 8, 144 ) }
Outer automorphisms :: reflexible
Dual of E18.1076
Graph:: simple bipartite
	v = 216 e = 288 f = 38
	degree seq :: [ 2^144, 4^72 ]

E18.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^15 * Y3 * Y1^-19 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 29, 173, 37, 181, 45, 189, 53, 197, 61, 205, 71, 215, 75, 219, 80, 224, 85, 229, 89, 233, 93, 237, 97, 241, 102, 246, 139, 283, 138, 282, 133, 277, 128, 272, 124, 268, 120, 264, 116, 260, 111, 255, 108, 252, 107, 251, 105, 249, 66, 210, 58, 202, 50, 194, 42, 186, 34, 178, 26, 170, 16, 160, 23, 167, 17, 161, 24, 168, 32, 176, 40, 184, 48, 192, 56, 200, 64, 208, 72, 216, 76, 220, 73, 217, 77, 221, 81, 225, 86, 230, 90, 234, 94, 238, 98, 242, 103, 247, 140, 284, 144, 288, 143, 287, 136, 280, 131, 275, 127, 271, 123, 267, 119, 263, 115, 259, 68, 212, 60, 204, 52, 196, 44, 188, 36, 180, 28, 172, 19, 163, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 25, 169, 33, 177, 41, 185, 49, 193, 57, 201, 65, 209, 69, 213, 78, 222, 74, 218, 87, 231, 84, 228, 95, 239, 92, 236, 104, 248, 100, 244, 137, 281, 141, 285, 135, 279, 129, 273, 126, 270, 121, 265, 118, 262, 112, 256, 110, 254, 101, 245, 63, 207, 54, 198, 47, 191, 38, 182, 31, 175, 21, 165, 14, 158, 6, 150, 13, 157, 9, 153, 18, 162, 27, 171, 35, 179, 43, 187, 51, 195, 59, 203, 67, 211, 82, 226, 70, 214, 83, 227, 79, 223, 91, 235, 88, 232, 99, 243, 96, 240, 132, 276, 106, 250, 142, 286, 134, 278, 130, 274, 125, 269, 122, 266, 117, 261, 114, 258, 109, 253, 113, 257, 62, 206, 55, 199, 46, 190, 39, 183, 30, 174, 22, 166, 12, 156, 8, 152)(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, 314)(19, 315)(20, 318)(21, 299)(22, 320)(23, 301)(24, 302)(25, 322)(26, 306)(27, 307)(28, 321)(29, 326)(30, 308)(31, 328)(32, 310)(33, 316)(34, 313)(35, 330)(36, 331)(37, 334)(38, 317)(39, 336)(40, 319)(41, 338)(42, 323)(43, 324)(44, 337)(45, 342)(46, 325)(47, 344)(48, 327)(49, 332)(50, 329)(51, 346)(52, 347)(53, 350)(54, 333)(55, 352)(56, 335)(57, 354)(58, 339)(59, 340)(60, 353)(61, 389)(62, 341)(63, 360)(64, 343)(65, 348)(66, 345)(67, 393)(68, 370)(69, 395)(70, 396)(71, 397)(72, 351)(73, 398)(74, 399)(75, 400)(76, 401)(77, 402)(78, 403)(79, 404)(80, 405)(81, 406)(82, 356)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 421)(97, 422)(98, 423)(99, 424)(100, 426)(101, 349)(102, 429)(103, 430)(104, 431)(105, 355)(106, 427)(107, 357)(108, 358)(109, 359)(110, 361)(111, 362)(112, 363)(113, 364)(114, 365)(115, 366)(116, 367)(117, 368)(118, 369)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 432)(133, 384)(134, 385)(135, 386)(136, 387)(137, 428)(138, 388)(139, 394)(140, 425)(141, 390)(142, 391)(143, 392)(144, 420)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.1075
Graph:: simple bipartite
	v = 146 e = 288 f = 108
	degree seq :: [ 2^144, 144^2 ]

E18.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-33 * Y1 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 20, 164)(16, 160, 23, 167)(17, 161, 25, 169)(18, 162, 21, 165)(19, 163, 27, 171)(22, 166, 29, 173)(24, 168, 31, 175)(26, 170, 32, 176)(28, 172, 30, 174)(33, 177, 39, 183)(34, 178, 41, 185)(35, 179, 37, 181)(36, 180, 43, 187)(38, 182, 45, 189)(40, 184, 47, 191)(42, 186, 48, 192)(44, 188, 46, 190)(49, 193, 55, 199)(50, 194, 57, 201)(51, 195, 53, 197)(52, 196, 59, 203)(54, 198, 61, 205)(56, 200, 63, 207)(58, 202, 64, 208)(60, 204, 62, 206)(65, 209, 74, 218)(66, 210, 104, 248)(67, 211, 105, 249)(68, 212, 69, 213)(70, 214, 107, 251)(71, 215, 108, 252)(72, 216, 109, 253)(73, 217, 110, 254)(75, 219, 111, 255)(76, 220, 112, 256)(77, 221, 113, 257)(78, 222, 114, 258)(79, 223, 115, 259)(80, 224, 116, 260)(81, 225, 117, 261)(82, 226, 118, 262)(83, 227, 119, 263)(84, 228, 120, 264)(85, 229, 121, 265)(86, 230, 122, 266)(87, 231, 123, 267)(88, 232, 124, 268)(89, 233, 125, 269)(90, 234, 126, 270)(91, 235, 127, 271)(92, 236, 128, 272)(93, 237, 129, 273)(94, 238, 130, 274)(95, 239, 131, 275)(96, 240, 132, 276)(97, 241, 134, 278)(98, 242, 135, 279)(99, 243, 136, 280)(100, 244, 137, 281)(101, 245, 139, 283)(102, 246, 140, 284)(103, 247, 142, 286)(106, 250, 141, 285)(133, 277, 144, 288)(138, 282, 143, 287)(289, 433, 291, 435, 296, 440, 305, 449, 314, 458, 322, 466, 330, 474, 338, 482, 346, 490, 354, 498, 360, 504, 366, 510, 370, 514, 375, 519, 378, 522, 383, 527, 386, 530, 391, 535, 431, 575, 432, 576, 427, 571, 422, 566, 417, 561, 413, 557, 409, 553, 405, 549, 400, 544, 404, 548, 393, 537, 349, 493, 341, 485, 333, 477, 325, 469, 317, 461, 309, 453, 299, 443, 308, 452, 301, 445, 311, 455, 319, 463, 327, 471, 335, 479, 343, 487, 351, 495, 362, 506, 358, 502, 361, 505, 365, 509, 371, 515, 374, 518, 379, 523, 382, 526, 387, 531, 390, 534, 429, 573, 425, 569, 420, 564, 416, 560, 412, 556, 408, 552, 403, 547, 399, 543, 396, 540, 356, 500, 348, 492, 340, 484, 332, 476, 324, 468, 316, 460, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 318, 462, 326, 470, 334, 478, 342, 486, 350, 494, 368, 512, 359, 503, 369, 513, 367, 511, 377, 521, 376, 520, 385, 529, 384, 528, 421, 565, 394, 538, 430, 574, 424, 568, 419, 563, 415, 559, 411, 555, 407, 551, 402, 546, 398, 542, 392, 536, 353, 497, 345, 489, 337, 481, 329, 473, 321, 465, 313, 457, 304, 448, 295, 439, 303, 447, 297, 441, 306, 450, 315, 459, 323, 467, 331, 475, 339, 483, 347, 491, 355, 499, 357, 501, 364, 508, 363, 507, 373, 517, 372, 516, 381, 525, 380, 524, 389, 533, 388, 532, 426, 570, 428, 572, 423, 567, 418, 562, 414, 558, 410, 554, 406, 550, 401, 545, 397, 541, 395, 539, 352, 496, 344, 488, 336, 480, 328, 472, 320, 464, 312, 456, 302, 446, 294, 438)
	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, 308)(16, 311)(17, 313)(18, 309)(19, 315)(20, 303)(21, 306)(22, 317)(23, 304)(24, 319)(25, 305)(26, 320)(27, 307)(28, 318)(29, 310)(30, 316)(31, 312)(32, 314)(33, 327)(34, 329)(35, 325)(36, 331)(37, 323)(38, 333)(39, 321)(40, 335)(41, 322)(42, 336)(43, 324)(44, 334)(45, 326)(46, 332)(47, 328)(48, 330)(49, 343)(50, 345)(51, 341)(52, 347)(53, 339)(54, 349)(55, 337)(56, 351)(57, 338)(58, 352)(59, 340)(60, 350)(61, 342)(62, 348)(63, 344)(64, 346)(65, 362)(66, 392)(67, 393)(68, 357)(69, 356)(70, 395)(71, 396)(72, 397)(73, 398)(74, 353)(75, 399)(76, 400)(77, 401)(78, 402)(79, 403)(80, 404)(81, 405)(82, 406)(83, 407)(84, 408)(85, 409)(86, 410)(87, 411)(88, 412)(89, 413)(90, 414)(91, 415)(92, 416)(93, 417)(94, 418)(95, 419)(96, 420)(97, 422)(98, 423)(99, 424)(100, 425)(101, 427)(102, 428)(103, 430)(104, 354)(105, 355)(106, 429)(107, 358)(108, 359)(109, 360)(110, 361)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 432)(134, 385)(135, 386)(136, 387)(137, 388)(138, 431)(139, 389)(140, 390)(141, 394)(142, 391)(143, 426)(144, 421)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.1080
Graph:: bipartite
	v = 74 e = 288 f = 180
	degree seq :: [ 4^72, 144^2 ]

E18.1080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 72})
Quotient :: dipole
Aut^+ = C72 : C2 (small group id <144, 7>)
Aut   = $<288, 118>$ (small group id <288, 118>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-36 * Y1^-1, (Y3 * Y2^-1)^72 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 13, 157, 8, 152)(5, 149, 11, 155, 14, 158, 7, 151)(10, 154, 16, 160, 21, 165, 17, 161)(12, 156, 15, 159, 22, 166, 19, 163)(18, 162, 25, 169, 29, 173, 24, 168)(20, 164, 27, 171, 30, 174, 23, 167)(26, 170, 32, 176, 37, 181, 33, 177)(28, 172, 31, 175, 38, 182, 35, 179)(34, 178, 41, 185, 45, 189, 40, 184)(36, 180, 43, 187, 46, 190, 39, 183)(42, 186, 48, 192, 53, 197, 49, 193)(44, 188, 47, 191, 54, 198, 51, 195)(50, 194, 57, 201, 61, 205, 56, 200)(52, 196, 59, 203, 62, 206, 55, 199)(58, 202, 64, 208, 89, 233, 65, 209)(60, 204, 63, 207, 110, 254, 67, 211)(66, 210, 113, 257, 85, 229, 132, 276)(68, 212, 78, 222, 127, 271, 87, 231)(69, 213, 115, 259, 74, 218, 116, 260)(70, 214, 117, 261, 72, 216, 118, 262)(71, 215, 119, 263, 81, 225, 120, 264)(73, 217, 121, 265, 82, 226, 122, 266)(75, 219, 123, 267, 79, 223, 124, 268)(76, 220, 125, 269, 77, 221, 126, 270)(80, 224, 128, 272, 88, 232, 129, 273)(83, 227, 130, 274, 84, 228, 131, 275)(86, 230, 133, 277, 93, 237, 134, 278)(90, 234, 135, 279, 91, 235, 136, 280)(92, 236, 137, 281, 97, 241, 138, 282)(94, 238, 139, 283, 95, 239, 140, 284)(96, 240, 141, 285, 101, 245, 142, 286)(98, 242, 114, 258, 99, 243, 143, 287)(100, 244, 111, 255, 105, 249, 112, 256)(102, 246, 144, 288, 103, 247, 108, 252)(104, 248, 107, 251, 109, 253, 106, 250)(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, 301)(7, 303)(8, 290)(9, 292)(10, 306)(11, 307)(12, 293)(13, 309)(14, 294)(15, 311)(16, 296)(17, 297)(18, 314)(19, 315)(20, 300)(21, 317)(22, 302)(23, 319)(24, 304)(25, 305)(26, 322)(27, 323)(28, 308)(29, 325)(30, 310)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 333)(38, 318)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 341)(46, 326)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 349)(54, 334)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 377)(62, 342)(63, 375)(64, 344)(65, 345)(66, 367)(67, 366)(68, 348)(69, 370)(70, 365)(71, 362)(72, 364)(73, 376)(74, 361)(75, 360)(76, 372)(77, 371)(78, 369)(79, 358)(80, 381)(81, 357)(82, 368)(83, 379)(84, 378)(85, 363)(86, 385)(87, 359)(88, 374)(89, 373)(90, 383)(91, 382)(92, 389)(93, 380)(94, 387)(95, 386)(96, 393)(97, 384)(98, 391)(99, 390)(100, 397)(101, 388)(102, 395)(103, 394)(104, 432)(105, 392)(106, 400)(107, 399)(108, 431)(109, 396)(110, 350)(111, 429)(112, 430)(113, 353)(114, 427)(115, 407)(116, 408)(117, 411)(118, 412)(119, 415)(120, 356)(121, 403)(122, 404)(123, 401)(124, 420)(125, 405)(126, 406)(127, 398)(128, 409)(129, 410)(130, 413)(131, 414)(132, 352)(133, 416)(134, 417)(135, 418)(136, 419)(137, 421)(138, 422)(139, 423)(140, 424)(141, 425)(142, 426)(143, 428)(144, 402)(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, 144 ), ( 4, 144, 4, 144, 4, 144, 4, 144 ) }
Outer automorphisms :: reflexible
Dual of E18.1079
Graph:: simple bipartite
	v = 180 e = 288 f = 74
	degree seq :: [ 2^144, 8^36 ]

E18.1081 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 38})
Quotient :: regular
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^38 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 105, 113, 115, 118, 124, 129, 133, 137, 142, 148, 110, 104, 99, 96, 91, 88, 80, 76, 71, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 109, 114, 116, 120, 127, 131, 135, 140, 145, 147, 143, 101, 108, 93, 98, 84, 90, 73, 82, 69, 81, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 111, 119, 117, 123, 128, 132, 136, 141, 146, 149, 106, 138, 97, 102, 89, 94, 77, 86, 70, 85, 72, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 107, 121, 125, 122, 126, 130, 134, 139, 144, 150, 152, 151, 112, 103, 100, 95, 92, 87, 83, 74, 78, 75, 79, 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, 72)(63, 107)(67, 79)(68, 111)(69, 105)(70, 113)(71, 114)(73, 115)(74, 116)(75, 109)(76, 117)(77, 118)(78, 119)(80, 120)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 139)(99, 140)(100, 141)(101, 142)(102, 144)(103, 145)(104, 146)(106, 148)(108, 150)(110, 147)(112, 149)(138, 152)(143, 151)
	local type(s) :: { ( 4^38 ) }
Outer automorphisms :: reflexible
Dual of E18.1082
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 76 f = 38
	degree seq :: [ 38^4 ]

E18.1082 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 38})
Quotient :: regular
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^38 ]
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, 65, 38, 66)(39, 67, 43, 69)(40, 70, 42, 72)(41, 71, 48, 74)(44, 75, 47, 68)(45, 76, 46, 77)(49, 79, 50, 80)(51, 78, 52, 73)(53, 81, 54, 82)(55, 83, 56, 84)(57, 85, 58, 86)(59, 87, 60, 88)(61, 89, 62, 90)(63, 91, 64, 92)(93, 121, 94, 122)(95, 123, 97, 125)(96, 124, 103, 126)(98, 127, 100, 129)(99, 128, 102, 131)(101, 130, 106, 132)(104, 133, 105, 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)(119, 147, 120, 148)(149, 152, 150, 151)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 13)(8, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 52)(36, 51)(39, 68)(40, 71)(41, 73)(42, 74)(43, 75)(44, 66)(45, 67)(46, 69)(47, 65)(48, 78)(49, 70)(50, 72)(53, 76)(54, 77)(55, 79)(56, 80)(57, 81)(58, 82)(59, 83)(60, 84)(61, 85)(62, 86)(63, 87)(64, 88)(89, 93)(90, 94)(91, 101)(92, 106)(95, 124)(96, 121)(97, 126)(98, 128)(99, 130)(100, 131)(102, 132)(103, 122)(104, 123)(105, 125)(107, 127)(108, 129)(109, 133)(110, 134)(111, 135)(112, 136)(113, 137)(114, 138)(115, 139)(116, 140)(117, 141)(118, 142)(119, 143)(120, 144)(145, 149)(146, 150)(147, 151)(148, 152)
	local type(s) :: { ( 38^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1081
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 38 e = 76 f = 4
	degree seq :: [ 4^38 ]

E18.1083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 38})
Quotient :: edge
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^38 ]
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, 61, 36, 63)(39, 66, 46, 68)(40, 70, 49, 72)(41, 73, 42, 69)(43, 76, 44, 65)(45, 79, 47, 81)(48, 84, 50, 86)(51, 89, 52, 91)(53, 93, 54, 95)(55, 97, 56, 99)(57, 101, 58, 103)(59, 105, 60, 107)(62, 109, 64, 111)(67, 114, 82, 116)(71, 118, 87, 120)(74, 121, 75, 117)(77, 124, 78, 113)(80, 127, 83, 129)(85, 132, 88, 134)(90, 137, 92, 139)(94, 141, 96, 143)(98, 145, 100, 147)(102, 149, 104, 151)(106, 152, 108, 150)(110, 148, 112, 146)(115, 136, 130, 133)(119, 131, 135, 128)(122, 140, 123, 138)(125, 144, 126, 142)(153, 154)(155, 159)(156, 161)(157, 162)(158, 164)(160, 163)(165, 169)(166, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 179)(176, 180)(181, 185)(182, 186)(183, 187)(184, 188)(189, 196)(190, 195)(191, 217)(192, 221)(193, 215)(194, 213)(197, 218)(198, 228)(199, 220)(200, 222)(201, 225)(202, 224)(203, 231)(204, 233)(205, 236)(206, 238)(207, 241)(208, 243)(209, 245)(210, 247)(211, 249)(212, 251)(214, 253)(216, 255)(219, 265)(223, 269)(226, 263)(227, 261)(229, 259)(230, 257)(232, 266)(234, 276)(235, 268)(237, 270)(239, 273)(240, 272)(242, 279)(244, 281)(246, 284)(248, 286)(250, 289)(252, 291)(254, 293)(256, 295)(258, 297)(260, 299)(262, 301)(264, 303)(267, 294)(271, 290)(274, 298)(275, 300)(277, 302)(278, 304)(280, 288)(282, 296)(283, 285)(287, 292)
	L = (1, 153)(2, 154)(3, 155)(4, 156)(5, 157)(6, 158)(7, 159)(8, 160)(9, 161)(10, 162)(11, 163)(12, 164)(13, 165)(14, 166)(15, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 175)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 181)(30, 182)(31, 183)(32, 184)(33, 185)(34, 186)(35, 187)(36, 188)(37, 189)(38, 190)(39, 191)(40, 192)(41, 193)(42, 194)(43, 195)(44, 196)(45, 197)(46, 198)(47, 199)(48, 200)(49, 201)(50, 202)(51, 203)(52, 204)(53, 205)(54, 206)(55, 207)(56, 208)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 217)(66, 218)(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, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 76, 76 ), ( 76^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1087
Transitivity :: ET+
Graph:: simple bipartite
	v = 114 e = 152 f = 4
	degree seq :: [ 2^76, 4^38 ]

E18.1084 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 38})
Quotient :: edge
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^38 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 129, 146, 142, 138, 135, 128, 124, 115, 111, 99, 95, 83, 79, 70, 77, 84, 93, 100, 109, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 127, 151, 148, 144, 140, 130, 133, 117, 119, 102, 105, 86, 89, 71, 74, 73, 90, 88, 106, 104, 120, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 131, 150, 147, 143, 139, 136, 123, 126, 110, 113, 94, 97, 78, 81, 69, 82, 80, 98, 96, 114, 112, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 125, 152, 149, 145, 141, 137, 134, 132, 121, 118, 107, 103, 91, 87, 75, 72, 76, 85, 92, 101, 108, 116, 122, 62, 54, 46, 38, 30, 22, 14)(153, 154, 158, 156)(155, 161, 165, 160)(157, 163, 166, 159)(162, 168, 173, 169)(164, 167, 174, 171)(170, 177, 181, 176)(172, 179, 182, 175)(178, 184, 189, 185)(180, 183, 190, 187)(186, 193, 197, 192)(188, 195, 198, 191)(194, 200, 205, 201)(196, 199, 206, 203)(202, 209, 213, 208)(204, 211, 214, 207)(210, 216, 277, 217)(212, 215, 274, 219)(218, 264, 304, 272)(220, 283, 268, 279)(221, 284, 226, 280)(222, 275, 224, 285)(223, 273, 233, 276)(225, 286, 234, 287)(227, 278, 231, 269)(228, 288, 229, 282)(230, 270, 241, 267)(232, 289, 242, 290)(235, 262, 239, 271)(236, 291, 237, 292)(238, 259, 249, 263)(240, 293, 250, 294)(243, 265, 247, 254)(244, 295, 245, 296)(246, 255, 257, 251)(248, 297, 258, 298)(252, 299, 253, 300)(256, 301, 266, 281)(260, 302, 261, 303)
	L = (1, 153)(2, 154)(3, 155)(4, 156)(5, 157)(6, 158)(7, 159)(8, 160)(9, 161)(10, 162)(11, 163)(12, 164)(13, 165)(14, 166)(15, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 175)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 181)(30, 182)(31, 183)(32, 184)(33, 185)(34, 186)(35, 187)(36, 188)(37, 189)(38, 190)(39, 191)(40, 192)(41, 193)(42, 194)(43, 195)(44, 196)(45, 197)(46, 198)(47, 199)(48, 200)(49, 201)(50, 202)(51, 203)(52, 204)(53, 205)(54, 206)(55, 207)(56, 208)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 217)(66, 218)(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, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 4^4 ), ( 4^38 ) }
Outer automorphisms :: reflexible
Dual of E18.1088
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 152 f = 76
	degree seq :: [ 4^38, 38^4 ]

E18.1085 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 38})
Quotient :: edge
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^38 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 101)(63, 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, 152)(137, 151)(139, 149)(140, 150)(144, 147)(146, 148)(153, 154, 157, 163, 172, 181, 189, 197, 205, 213, 223, 227, 232, 237, 241, 245, 249, 254, 291, 299, 303, 304, 295, 288, 283, 279, 275, 271, 267, 220, 212, 204, 196, 188, 180, 171, 162, 156)(155, 159, 167, 177, 185, 193, 201, 209, 217, 221, 230, 226, 239, 236, 247, 244, 256, 252, 289, 298, 301, 294, 286, 282, 277, 274, 269, 266, 261, 265, 214, 207, 198, 191, 182, 174, 164, 160)(158, 165, 161, 170, 179, 187, 195, 203, 211, 219, 234, 222, 235, 231, 243, 240, 251, 248, 284, 258, 296, 302, 293, 287, 281, 278, 273, 270, 264, 262, 253, 215, 206, 199, 190, 183, 173, 166)(168, 175, 169, 176, 184, 192, 200, 208, 216, 224, 228, 225, 229, 233, 238, 242, 246, 250, 255, 292, 300, 297, 290, 285, 280, 276, 272, 268, 263, 260, 259, 257, 218, 210, 202, 194, 186, 178)
	L = (1, 153)(2, 154)(3, 155)(4, 156)(5, 157)(6, 158)(7, 159)(8, 160)(9, 161)(10, 162)(11, 163)(12, 164)(13, 165)(14, 166)(15, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 175)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 181)(30, 182)(31, 183)(32, 184)(33, 185)(34, 186)(35, 187)(36, 188)(37, 189)(38, 190)(39, 191)(40, 192)(41, 193)(42, 194)(43, 195)(44, 196)(45, 197)(46, 198)(47, 199)(48, 200)(49, 201)(50, 202)(51, 203)(52, 204)(53, 205)(54, 206)(55, 207)(56, 208)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 217)(66, 218)(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, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)
	local type(s) :: { ( 8, 8 ), ( 8^38 ) }
Outer automorphisms :: reflexible
Dual of E18.1086
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 152 f = 38
	degree seq :: [ 2^76, 38^4 ]

E18.1086 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 38})
Quotient :: loop
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^38 ]
Map::
	R = (1, 153, 3, 155, 8, 160, 4, 156)(2, 154, 5, 157, 11, 163, 6, 158)(7, 159, 13, 165, 9, 161, 14, 166)(10, 162, 15, 167, 12, 164, 16, 168)(17, 169, 21, 173, 18, 170, 22, 174)(19, 171, 23, 175, 20, 172, 24, 176)(25, 177, 29, 181, 26, 178, 30, 182)(27, 179, 31, 183, 28, 180, 32, 184)(33, 185, 37, 189, 34, 186, 38, 190)(35, 187, 61, 213, 36, 188, 63, 215)(39, 191, 66, 218, 46, 198, 68, 220)(40, 192, 70, 222, 49, 201, 72, 224)(41, 193, 73, 225, 42, 194, 69, 221)(43, 195, 76, 228, 44, 196, 65, 217)(45, 197, 79, 231, 47, 199, 81, 233)(48, 200, 84, 236, 50, 202, 86, 238)(51, 203, 89, 241, 52, 204, 91, 243)(53, 205, 93, 245, 54, 206, 95, 247)(55, 207, 97, 249, 56, 208, 99, 251)(57, 209, 101, 253, 58, 210, 103, 255)(59, 211, 105, 257, 60, 212, 107, 259)(62, 214, 109, 261, 64, 216, 111, 263)(67, 219, 114, 266, 82, 234, 116, 268)(71, 223, 118, 270, 87, 239, 120, 272)(74, 226, 121, 273, 75, 227, 117, 269)(77, 229, 124, 276, 78, 230, 113, 265)(80, 232, 127, 279, 83, 235, 129, 281)(85, 237, 132, 284, 88, 240, 134, 286)(90, 242, 137, 289, 92, 244, 139, 291)(94, 246, 141, 293, 96, 248, 143, 295)(98, 250, 145, 297, 100, 252, 147, 299)(102, 254, 149, 301, 104, 256, 151, 303)(106, 258, 150, 302, 108, 260, 152, 304)(110, 262, 146, 298, 112, 264, 148, 300)(115, 267, 136, 288, 130, 282, 133, 285)(119, 271, 131, 283, 135, 287, 128, 280)(122, 274, 140, 292, 123, 275, 138, 290)(125, 277, 144, 296, 126, 278, 142, 294)
	L = (1, 154)(2, 153)(3, 159)(4, 161)(5, 162)(6, 164)(7, 155)(8, 163)(9, 156)(10, 157)(11, 160)(12, 158)(13, 169)(14, 170)(15, 171)(16, 172)(17, 165)(18, 166)(19, 167)(20, 168)(21, 177)(22, 178)(23, 179)(24, 180)(25, 173)(26, 174)(27, 175)(28, 176)(29, 185)(30, 186)(31, 187)(32, 188)(33, 181)(34, 182)(35, 183)(36, 184)(37, 195)(38, 196)(39, 217)(40, 221)(41, 213)(42, 215)(43, 189)(44, 190)(45, 218)(46, 228)(47, 220)(48, 222)(49, 225)(50, 224)(51, 231)(52, 233)(53, 236)(54, 238)(55, 241)(56, 243)(57, 245)(58, 247)(59, 249)(60, 251)(61, 193)(62, 253)(63, 194)(64, 255)(65, 191)(66, 197)(67, 265)(68, 199)(69, 192)(70, 200)(71, 269)(72, 202)(73, 201)(74, 261)(75, 263)(76, 198)(77, 257)(78, 259)(79, 203)(80, 266)(81, 204)(82, 276)(83, 268)(84, 205)(85, 270)(86, 206)(87, 273)(88, 272)(89, 207)(90, 279)(91, 208)(92, 281)(93, 209)(94, 284)(95, 210)(96, 286)(97, 211)(98, 289)(99, 212)(100, 291)(101, 214)(102, 293)(103, 216)(104, 295)(105, 229)(106, 297)(107, 230)(108, 299)(109, 226)(110, 301)(111, 227)(112, 303)(113, 219)(114, 232)(115, 294)(116, 235)(117, 223)(118, 237)(119, 290)(120, 240)(121, 239)(122, 298)(123, 300)(124, 234)(125, 302)(126, 304)(127, 242)(128, 288)(129, 244)(130, 296)(131, 285)(132, 246)(133, 283)(134, 248)(135, 292)(136, 280)(137, 250)(138, 271)(139, 252)(140, 287)(141, 254)(142, 267)(143, 256)(144, 282)(145, 258)(146, 274)(147, 260)(148, 275)(149, 262)(150, 277)(151, 264)(152, 278)
	local type(s) :: { ( 2, 38, 2, 38, 2, 38, 2, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.1085
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 38 e = 152 f = 80
	degree seq :: [ 8^38 ]

E18.1087 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 38})
Quotient :: loop
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^38 ]
Map::
	R = (1, 153, 3, 155, 10, 162, 18, 170, 26, 178, 34, 186, 42, 194, 50, 202, 58, 210, 66, 218, 109, 261, 117, 269, 122, 274, 126, 278, 130, 282, 134, 286, 138, 290, 142, 294, 147, 299, 149, 301, 112, 264, 102, 254, 100, 252, 94, 246, 92, 244, 86, 238, 84, 236, 75, 227, 72, 224, 68, 220, 60, 212, 52, 204, 44, 196, 36, 188, 28, 180, 20, 172, 12, 164, 5, 157)(2, 154, 7, 159, 15, 167, 23, 175, 31, 183, 39, 191, 47, 199, 55, 207, 63, 215, 107, 259, 115, 267, 120, 272, 124, 276, 128, 280, 132, 284, 136, 288, 140, 292, 145, 297, 152, 304, 148, 300, 103, 255, 106, 258, 95, 247, 97, 249, 87, 239, 89, 241, 77, 229, 79, 231, 69, 221, 80, 232, 64, 216, 56, 208, 48, 200, 40, 192, 32, 184, 24, 176, 16, 168, 8, 160)(4, 156, 11, 163, 19, 171, 27, 179, 35, 187, 43, 195, 51, 203, 59, 211, 67, 219, 111, 263, 114, 266, 119, 271, 123, 275, 127, 279, 131, 283, 135, 287, 139, 291, 144, 296, 151, 303, 110, 262, 143, 295, 99, 251, 101, 253, 91, 243, 93, 245, 83, 235, 85, 237, 71, 223, 74, 226, 73, 225, 65, 217, 57, 209, 49, 201, 41, 193, 33, 185, 25, 177, 17, 169, 9, 161)(6, 158, 13, 165, 21, 173, 29, 181, 37, 189, 45, 197, 53, 205, 61, 213, 105, 257, 118, 270, 113, 265, 116, 268, 121, 273, 125, 277, 129, 281, 133, 285, 137, 289, 141, 293, 146, 298, 150, 302, 108, 260, 104, 256, 98, 250, 96, 248, 90, 242, 88, 240, 81, 233, 78, 230, 70, 222, 76, 228, 82, 234, 62, 214, 54, 206, 46, 198, 38, 190, 30, 182, 22, 174, 14, 166)
	L = (1, 154)(2, 158)(3, 161)(4, 153)(5, 163)(6, 156)(7, 157)(8, 155)(9, 165)(10, 168)(11, 166)(12, 167)(13, 160)(14, 159)(15, 174)(16, 173)(17, 162)(18, 177)(19, 164)(20, 179)(21, 169)(22, 171)(23, 172)(24, 170)(25, 181)(26, 184)(27, 182)(28, 183)(29, 176)(30, 175)(31, 190)(32, 189)(33, 178)(34, 193)(35, 180)(36, 195)(37, 185)(38, 187)(39, 188)(40, 186)(41, 197)(42, 200)(43, 198)(44, 199)(45, 192)(46, 191)(47, 206)(48, 205)(49, 194)(50, 209)(51, 196)(52, 211)(53, 201)(54, 203)(55, 204)(56, 202)(57, 213)(58, 216)(59, 214)(60, 215)(61, 208)(62, 207)(63, 234)(64, 257)(65, 210)(66, 225)(67, 212)(68, 263)(69, 265)(70, 266)(71, 268)(72, 267)(73, 270)(74, 261)(75, 271)(76, 259)(77, 273)(78, 272)(79, 269)(80, 218)(81, 275)(82, 219)(83, 277)(84, 276)(85, 274)(86, 279)(87, 281)(88, 280)(89, 278)(90, 283)(91, 285)(92, 284)(93, 282)(94, 287)(95, 289)(96, 288)(97, 286)(98, 291)(99, 293)(100, 292)(101, 290)(102, 296)(103, 298)(104, 297)(105, 217)(106, 294)(107, 220)(108, 303)(109, 221)(110, 302)(111, 228)(112, 304)(113, 226)(114, 224)(115, 222)(116, 231)(117, 223)(118, 232)(119, 230)(120, 227)(121, 237)(122, 229)(123, 236)(124, 233)(125, 241)(126, 235)(127, 240)(128, 238)(129, 245)(130, 239)(131, 244)(132, 242)(133, 249)(134, 243)(135, 248)(136, 246)(137, 253)(138, 247)(139, 252)(140, 250)(141, 258)(142, 251)(143, 299)(144, 256)(145, 254)(146, 295)(147, 255)(148, 301)(149, 262)(150, 300)(151, 264)(152, 260)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1083
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 152 f = 114
	degree seq :: [ 76^4 ]

E18.1088 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 38})
Quotient :: loop
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^38 ]
Map:: polytopal non-degenerate
	R = (1, 153, 3, 155)(2, 154, 6, 158)(4, 156, 9, 161)(5, 157, 12, 164)(7, 159, 16, 168)(8, 160, 17, 169)(10, 162, 15, 167)(11, 163, 21, 173)(13, 165, 23, 175)(14, 166, 24, 176)(18, 170, 26, 178)(19, 171, 27, 179)(20, 172, 30, 182)(22, 174, 32, 184)(25, 177, 34, 186)(28, 180, 33, 185)(29, 181, 38, 190)(31, 183, 40, 192)(35, 187, 42, 194)(36, 188, 43, 195)(37, 189, 46, 198)(39, 191, 48, 200)(41, 193, 50, 202)(44, 196, 49, 201)(45, 197, 54, 206)(47, 199, 56, 208)(51, 203, 58, 210)(52, 204, 59, 211)(53, 205, 62, 214)(55, 207, 64, 216)(57, 209, 66, 218)(60, 212, 65, 217)(61, 213, 107, 259)(63, 215, 119, 271)(67, 219, 104, 256)(68, 220, 123, 275)(69, 221, 125, 277)(70, 222, 126, 278)(71, 223, 127, 279)(72, 224, 128, 280)(73, 225, 129, 281)(74, 226, 130, 282)(75, 227, 131, 283)(76, 228, 132, 284)(77, 229, 133, 285)(78, 230, 134, 286)(79, 231, 135, 287)(80, 232, 136, 288)(81, 233, 137, 289)(82, 234, 138, 290)(83, 235, 139, 291)(84, 236, 140, 292)(85, 237, 141, 293)(86, 238, 142, 294)(87, 239, 143, 295)(88, 240, 124, 276)(89, 241, 144, 296)(90, 242, 145, 297)(91, 243, 146, 298)(92, 244, 147, 299)(93, 245, 118, 270)(94, 246, 148, 300)(95, 247, 149, 301)(96, 248, 150, 302)(97, 249, 115, 267)(98, 250, 121, 273)(99, 251, 151, 303)(100, 252, 152, 304)(101, 253, 117, 269)(102, 254, 113, 265)(103, 255, 112, 264)(105, 257, 122, 274)(106, 258, 109, 261)(108, 260, 120, 272)(110, 262, 116, 268)(111, 263, 114, 266)
	L = (1, 154)(2, 157)(3, 159)(4, 153)(5, 163)(6, 165)(7, 167)(8, 155)(9, 170)(10, 156)(11, 172)(12, 160)(13, 161)(14, 158)(15, 177)(16, 175)(17, 176)(18, 179)(19, 162)(20, 181)(21, 166)(22, 164)(23, 169)(24, 184)(25, 185)(26, 168)(27, 187)(28, 171)(29, 189)(30, 174)(31, 173)(32, 192)(33, 193)(34, 178)(35, 195)(36, 180)(37, 197)(38, 183)(39, 182)(40, 200)(41, 201)(42, 186)(43, 203)(44, 188)(45, 205)(46, 191)(47, 190)(48, 208)(49, 209)(50, 194)(51, 211)(52, 196)(53, 213)(54, 199)(55, 198)(56, 216)(57, 217)(58, 202)(59, 219)(60, 204)(61, 269)(62, 207)(63, 206)(64, 271)(65, 273)(66, 210)(67, 275)(68, 212)(69, 236)(70, 243)(71, 226)(72, 246)(73, 237)(74, 232)(75, 233)(76, 234)(77, 223)(78, 253)(79, 244)(80, 241)(81, 228)(82, 242)(83, 229)(84, 230)(85, 221)(86, 227)(87, 259)(88, 251)(89, 220)(90, 250)(91, 224)(92, 222)(93, 238)(94, 239)(95, 235)(96, 214)(97, 257)(98, 256)(99, 225)(100, 247)(101, 248)(102, 245)(103, 262)(104, 218)(105, 231)(106, 254)(107, 215)(108, 252)(109, 266)(110, 240)(111, 260)(112, 258)(113, 272)(114, 249)(115, 264)(116, 263)(117, 300)(118, 304)(119, 302)(120, 255)(121, 296)(122, 268)(123, 297)(124, 267)(125, 278)(126, 281)(127, 283)(128, 277)(129, 287)(130, 289)(131, 291)(132, 279)(133, 294)(134, 280)(135, 276)(136, 284)(137, 285)(138, 282)(139, 270)(140, 298)(141, 299)(142, 301)(143, 286)(144, 290)(145, 288)(146, 293)(147, 303)(148, 292)(149, 265)(150, 295)(151, 274)(152, 261)
	local type(s) :: { ( 4, 38, 4, 38 ) }
Outer automorphisms :: reflexible
Dual of E18.1084
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 76 e = 152 f = 42
	degree seq :: [ 4^76 ]

E18.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^38 ]
Map::
	R = (1, 153, 2, 154)(3, 155, 7, 159)(4, 156, 9, 161)(5, 157, 10, 162)(6, 158, 12, 164)(8, 160, 11, 163)(13, 165, 17, 169)(14, 166, 18, 170)(15, 167, 19, 171)(16, 168, 20, 172)(21, 173, 25, 177)(22, 174, 26, 178)(23, 175, 27, 179)(24, 176, 28, 180)(29, 181, 33, 185)(30, 182, 34, 186)(31, 183, 35, 187)(32, 184, 36, 188)(37, 189, 40, 192)(38, 190, 46, 198)(39, 191, 59, 211)(41, 193, 65, 217)(42, 194, 66, 218)(43, 195, 63, 215)(44, 196, 64, 216)(45, 197, 60, 212)(47, 199, 67, 219)(48, 200, 68, 220)(49, 201, 69, 221)(50, 202, 70, 222)(51, 203, 71, 223)(52, 204, 72, 224)(53, 205, 73, 225)(54, 206, 74, 226)(55, 207, 75, 227)(56, 208, 76, 228)(57, 209, 77, 229)(58, 210, 78, 230)(61, 213, 79, 231)(62, 214, 80, 232)(81, 233, 83, 235)(82, 234, 84, 236)(85, 237, 89, 241)(86, 238, 90, 242)(87, 239, 107, 259)(88, 240, 108, 260)(91, 243, 113, 265)(92, 244, 114, 266)(93, 245, 111, 263)(94, 246, 112, 264)(95, 247, 115, 267)(96, 248, 116, 268)(97, 249, 117, 269)(98, 250, 118, 270)(99, 251, 119, 271)(100, 252, 120, 272)(101, 253, 121, 273)(102, 254, 122, 274)(103, 255, 123, 275)(104, 256, 124, 276)(105, 257, 125, 277)(106, 258, 126, 278)(109, 261, 127, 279)(110, 262, 128, 280)(129, 281, 131, 283)(130, 282, 132, 284)(133, 285, 137, 289)(134, 286, 138, 290)(135, 287, 152, 304)(136, 288, 151, 303)(139, 291, 149, 301)(140, 292, 150, 302)(141, 293, 147, 299)(142, 294, 148, 300)(143, 295, 146, 298)(144, 296, 145, 297)(305, 457, 307, 459, 312, 464, 308, 460)(306, 458, 309, 461, 315, 467, 310, 462)(311, 463, 317, 469, 313, 465, 318, 470)(314, 466, 319, 471, 316, 468, 320, 472)(321, 473, 325, 477, 322, 474, 326, 478)(323, 475, 327, 479, 324, 476, 328, 480)(329, 481, 333, 485, 330, 482, 334, 486)(331, 483, 335, 487, 332, 484, 336, 488)(337, 489, 341, 493, 338, 490, 342, 494)(339, 491, 363, 515, 340, 492, 364, 516)(343, 495, 367, 519, 349, 501, 368, 520)(344, 496, 369, 521, 350, 502, 370, 522)(345, 497, 371, 523, 346, 498, 372, 524)(347, 499, 373, 525, 348, 500, 374, 526)(351, 503, 375, 527, 352, 504, 376, 528)(353, 505, 377, 529, 354, 506, 378, 530)(355, 507, 379, 531, 356, 508, 380, 532)(357, 509, 381, 533, 358, 510, 382, 534)(359, 511, 383, 535, 360, 512, 384, 536)(361, 513, 385, 537, 362, 514, 386, 538)(365, 517, 389, 541, 366, 518, 390, 542)(387, 539, 411, 563, 388, 540, 412, 564)(391, 543, 415, 567, 392, 544, 416, 568)(393, 545, 417, 569, 394, 546, 418, 570)(395, 547, 419, 571, 396, 548, 420, 572)(397, 549, 421, 573, 398, 550, 422, 574)(399, 551, 423, 575, 400, 552, 424, 576)(401, 553, 425, 577, 402, 554, 426, 578)(403, 555, 427, 579, 404, 556, 428, 580)(405, 557, 429, 581, 406, 558, 430, 582)(407, 559, 431, 583, 408, 560, 432, 584)(409, 561, 433, 585, 410, 562, 434, 586)(413, 565, 437, 589, 414, 566, 438, 590)(435, 587, 456, 608, 436, 588, 455, 607)(439, 591, 451, 603, 440, 592, 452, 604)(441, 593, 453, 605, 442, 594, 454, 606)(443, 595, 450, 602, 444, 596, 449, 601)(445, 597, 448, 600, 446, 598, 447, 599)
	L = (1, 306)(2, 305)(3, 311)(4, 313)(5, 314)(6, 316)(7, 307)(8, 315)(9, 308)(10, 309)(11, 312)(12, 310)(13, 321)(14, 322)(15, 323)(16, 324)(17, 317)(18, 318)(19, 319)(20, 320)(21, 329)(22, 330)(23, 331)(24, 332)(25, 325)(26, 326)(27, 327)(28, 328)(29, 337)(30, 338)(31, 339)(32, 340)(33, 333)(34, 334)(35, 335)(36, 336)(37, 344)(38, 350)(39, 363)(40, 341)(41, 369)(42, 370)(43, 367)(44, 368)(45, 364)(46, 342)(47, 371)(48, 372)(49, 373)(50, 374)(51, 375)(52, 376)(53, 377)(54, 378)(55, 379)(56, 380)(57, 381)(58, 382)(59, 343)(60, 349)(61, 383)(62, 384)(63, 347)(64, 348)(65, 345)(66, 346)(67, 351)(68, 352)(69, 353)(70, 354)(71, 355)(72, 356)(73, 357)(74, 358)(75, 359)(76, 360)(77, 361)(78, 362)(79, 365)(80, 366)(81, 387)(82, 388)(83, 385)(84, 386)(85, 393)(86, 394)(87, 411)(88, 412)(89, 389)(90, 390)(91, 417)(92, 418)(93, 415)(94, 416)(95, 419)(96, 420)(97, 421)(98, 422)(99, 423)(100, 424)(101, 425)(102, 426)(103, 427)(104, 428)(105, 429)(106, 430)(107, 391)(108, 392)(109, 431)(110, 432)(111, 397)(112, 398)(113, 395)(114, 396)(115, 399)(116, 400)(117, 401)(118, 402)(119, 403)(120, 404)(121, 405)(122, 406)(123, 407)(124, 408)(125, 409)(126, 410)(127, 413)(128, 414)(129, 435)(130, 436)(131, 433)(132, 434)(133, 441)(134, 442)(135, 456)(136, 455)(137, 437)(138, 438)(139, 453)(140, 454)(141, 451)(142, 452)(143, 450)(144, 449)(145, 448)(146, 447)(147, 445)(148, 446)(149, 443)(150, 444)(151, 440)(152, 439)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	local type(s) :: { ( 2, 76, 2, 76 ), ( 2, 76, 2, 76, 2, 76, 2, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.1092
Graph:: bipartite
	v = 114 e = 304 f = 156
	degree seq :: [ 4^76, 8^38 ]

E18.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y2^38 ]
Map::
	R = (1, 153, 2, 154, 6, 158, 4, 156)(3, 155, 9, 161, 13, 165, 8, 160)(5, 157, 11, 163, 14, 166, 7, 159)(10, 162, 16, 168, 21, 173, 17, 169)(12, 164, 15, 167, 22, 174, 19, 171)(18, 170, 25, 177, 29, 181, 24, 176)(20, 172, 27, 179, 30, 182, 23, 175)(26, 178, 32, 184, 37, 189, 33, 185)(28, 180, 31, 183, 38, 190, 35, 187)(34, 186, 41, 193, 45, 197, 40, 192)(36, 188, 43, 195, 46, 198, 39, 191)(42, 194, 48, 200, 53, 205, 49, 201)(44, 196, 47, 199, 54, 206, 51, 203)(50, 202, 57, 209, 61, 213, 56, 208)(52, 204, 59, 211, 62, 214, 55, 207)(58, 210, 64, 216, 105, 257, 65, 217)(60, 212, 63, 215, 82, 234, 67, 219)(66, 218, 80, 232, 118, 270, 73, 225)(68, 220, 111, 263, 76, 228, 107, 259)(69, 221, 109, 261, 74, 226, 113, 265)(70, 222, 114, 266, 72, 224, 115, 267)(71, 223, 116, 268, 79, 231, 117, 269)(75, 227, 119, 271, 78, 230, 120, 272)(77, 229, 121, 273, 85, 237, 122, 274)(81, 233, 123, 275, 84, 236, 124, 276)(83, 235, 125, 277, 89, 241, 126, 278)(86, 238, 127, 279, 88, 240, 128, 280)(87, 239, 129, 281, 93, 245, 130, 282)(90, 242, 131, 283, 92, 244, 132, 284)(91, 243, 133, 285, 97, 249, 134, 286)(94, 246, 135, 287, 96, 248, 136, 288)(95, 247, 137, 289, 101, 253, 138, 290)(98, 250, 139, 291, 100, 252, 140, 292)(99, 251, 141, 293, 106, 258, 142, 294)(102, 254, 144, 296, 104, 256, 145, 297)(103, 255, 146, 298, 143, 295, 147, 299)(108, 260, 151, 303, 112, 264, 152, 304)(110, 262, 150, 302, 148, 300, 149, 301)(305, 457, 307, 459, 314, 466, 322, 474, 330, 482, 338, 490, 346, 498, 354, 506, 362, 514, 370, 522, 413, 565, 420, 572, 425, 577, 429, 581, 433, 585, 437, 589, 441, 593, 445, 597, 450, 602, 454, 606, 412, 564, 408, 560, 402, 554, 400, 552, 394, 546, 392, 544, 385, 537, 382, 534, 374, 526, 372, 524, 364, 516, 356, 508, 348, 500, 340, 492, 332, 484, 324, 476, 316, 468, 309, 461)(306, 458, 311, 463, 319, 471, 327, 479, 335, 487, 343, 495, 351, 503, 359, 511, 367, 519, 411, 563, 418, 570, 423, 575, 427, 579, 431, 583, 435, 587, 439, 591, 443, 595, 448, 600, 455, 607, 414, 566, 447, 599, 403, 555, 405, 557, 395, 547, 397, 549, 387, 539, 389, 541, 375, 527, 378, 530, 377, 529, 368, 520, 360, 512, 352, 504, 344, 496, 336, 488, 328, 480, 320, 472, 312, 464)(308, 460, 315, 467, 323, 475, 331, 483, 339, 491, 347, 499, 355, 507, 363, 515, 371, 523, 415, 567, 419, 571, 424, 576, 428, 580, 432, 584, 436, 588, 440, 592, 444, 596, 449, 601, 456, 608, 452, 604, 407, 559, 410, 562, 399, 551, 401, 553, 391, 543, 393, 545, 381, 533, 383, 535, 373, 525, 384, 536, 369, 521, 361, 513, 353, 505, 345, 497, 337, 489, 329, 481, 321, 473, 313, 465)(310, 462, 317, 469, 325, 477, 333, 485, 341, 493, 349, 501, 357, 509, 365, 517, 409, 561, 422, 574, 417, 569, 421, 573, 426, 578, 430, 582, 434, 586, 438, 590, 442, 594, 446, 598, 451, 603, 453, 605, 416, 568, 406, 558, 404, 556, 398, 550, 396, 548, 390, 542, 388, 540, 379, 531, 376, 528, 380, 532, 386, 538, 366, 518, 358, 510, 350, 502, 342, 494, 334, 486, 326, 478, 318, 470)
	L = (1, 307)(2, 311)(3, 314)(4, 315)(5, 305)(6, 317)(7, 319)(8, 306)(9, 308)(10, 322)(11, 323)(12, 309)(13, 325)(14, 310)(15, 327)(16, 312)(17, 313)(18, 330)(19, 331)(20, 316)(21, 333)(22, 318)(23, 335)(24, 320)(25, 321)(26, 338)(27, 339)(28, 324)(29, 341)(30, 326)(31, 343)(32, 328)(33, 329)(34, 346)(35, 347)(36, 332)(37, 349)(38, 334)(39, 351)(40, 336)(41, 337)(42, 354)(43, 355)(44, 340)(45, 357)(46, 342)(47, 359)(48, 344)(49, 345)(50, 362)(51, 363)(52, 348)(53, 365)(54, 350)(55, 367)(56, 352)(57, 353)(58, 370)(59, 371)(60, 356)(61, 409)(62, 358)(63, 411)(64, 360)(65, 361)(66, 413)(67, 415)(68, 364)(69, 384)(70, 372)(71, 378)(72, 380)(73, 368)(74, 377)(75, 376)(76, 386)(77, 383)(78, 374)(79, 373)(80, 369)(81, 382)(82, 366)(83, 389)(84, 379)(85, 375)(86, 388)(87, 393)(88, 385)(89, 381)(90, 392)(91, 397)(92, 390)(93, 387)(94, 396)(95, 401)(96, 394)(97, 391)(98, 400)(99, 405)(100, 398)(101, 395)(102, 404)(103, 410)(104, 402)(105, 422)(106, 399)(107, 418)(108, 408)(109, 420)(110, 447)(111, 419)(112, 406)(113, 421)(114, 423)(115, 424)(116, 425)(117, 426)(118, 417)(119, 427)(120, 428)(121, 429)(122, 430)(123, 431)(124, 432)(125, 433)(126, 434)(127, 435)(128, 436)(129, 437)(130, 438)(131, 439)(132, 440)(133, 441)(134, 442)(135, 443)(136, 444)(137, 445)(138, 446)(139, 448)(140, 449)(141, 450)(142, 451)(143, 403)(144, 455)(145, 456)(146, 454)(147, 453)(148, 407)(149, 416)(150, 412)(151, 414)(152, 452)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	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 E18.1091
Graph:: bipartite
	v = 42 e = 304 f = 228
	degree seq :: [ 8^38, 76^4 ]

E18.1091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|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)^38 ]
Map:: polytopal
	R = (1, 153)(2, 154)(3, 155)(4, 156)(5, 157)(6, 158)(7, 159)(8, 160)(9, 161)(10, 162)(11, 163)(12, 164)(13, 165)(14, 166)(15, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 175)(24, 176)(25, 177)(26, 178)(27, 179)(28, 180)(29, 181)(30, 182)(31, 183)(32, 184)(33, 185)(34, 186)(35, 187)(36, 188)(37, 189)(38, 190)(39, 191)(40, 192)(41, 193)(42, 194)(43, 195)(44, 196)(45, 197)(46, 198)(47, 199)(48, 200)(49, 201)(50, 202)(51, 203)(52, 204)(53, 205)(54, 206)(55, 207)(56, 208)(57, 209)(58, 210)(59, 211)(60, 212)(61, 213)(62, 214)(63, 215)(64, 216)(65, 217)(66, 218)(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, 231)(80, 232)(81, 233)(82, 234)(83, 235)(84, 236)(85, 237)(86, 238)(87, 239)(88, 240)(89, 241)(90, 242)(91, 243)(92, 244)(93, 245)(94, 246)(95, 247)(96, 248)(97, 249)(98, 250)(99, 251)(100, 252)(101, 253)(102, 254)(103, 255)(104, 256)(105, 257)(106, 258)(107, 259)(108, 260)(109, 261)(110, 262)(111, 263)(112, 264)(113, 265)(114, 266)(115, 267)(116, 268)(117, 269)(118, 270)(119, 271)(120, 272)(121, 273)(122, 274)(123, 275)(124, 276)(125, 277)(126, 278)(127, 279)(128, 280)(129, 281)(130, 282)(131, 283)(132, 284)(133, 285)(134, 286)(135, 287)(136, 288)(137, 289)(138, 290)(139, 291)(140, 292)(141, 293)(142, 294)(143, 295)(144, 296)(145, 297)(146, 298)(147, 299)(148, 300)(149, 301)(150, 302)(151, 303)(152, 304)(305, 457, 306, 458)(307, 459, 311, 463)(308, 460, 313, 465)(309, 461, 315, 467)(310, 462, 317, 469)(312, 464, 318, 470)(314, 466, 316, 468)(319, 471, 324, 476)(320, 472, 327, 479)(321, 473, 329, 481)(322, 474, 325, 477)(323, 475, 331, 483)(326, 478, 333, 485)(328, 480, 335, 487)(330, 482, 336, 488)(332, 484, 334, 486)(337, 489, 343, 495)(338, 490, 345, 497)(339, 491, 341, 493)(340, 492, 347, 499)(342, 494, 349, 501)(344, 496, 351, 503)(346, 498, 352, 504)(348, 500, 350, 502)(353, 505, 359, 511)(354, 506, 361, 513)(355, 507, 357, 509)(356, 508, 363, 515)(358, 510, 365, 517)(360, 512, 367, 519)(362, 514, 368, 520)(364, 516, 366, 518)(369, 521, 419, 571)(370, 522, 391, 543)(371, 523, 402, 554)(372, 524, 423, 575)(373, 525, 425, 577)(374, 526, 426, 578)(375, 527, 427, 579)(376, 528, 428, 580)(377, 529, 429, 581)(378, 530, 430, 582)(379, 531, 431, 583)(380, 532, 432, 584)(381, 533, 433, 585)(382, 534, 421, 573)(383, 535, 434, 586)(384, 536, 435, 587)(385, 537, 436, 588)(386, 538, 437, 589)(387, 539, 438, 590)(388, 540, 439, 591)(389, 541, 440, 592)(390, 542, 441, 593)(392, 544, 442, 594)(393, 545, 443, 595)(394, 546, 444, 596)(395, 547, 445, 597)(396, 548, 417, 569)(397, 549, 446, 598)(398, 550, 447, 599)(399, 551, 448, 600)(400, 552, 449, 601)(401, 553, 450, 602)(403, 555, 451, 603)(404, 556, 452, 604)(405, 557, 453, 605)(406, 558, 454, 606)(407, 559, 418, 570)(408, 560, 422, 574)(409, 561, 415, 567)(410, 562, 455, 607)(411, 563, 416, 568)(412, 564, 456, 608)(413, 565, 420, 572)(414, 566, 424, 576)
	L = (1, 307)(2, 309)(3, 312)(4, 305)(5, 316)(6, 306)(7, 319)(8, 321)(9, 322)(10, 308)(11, 324)(12, 326)(13, 327)(14, 310)(15, 313)(16, 311)(17, 330)(18, 331)(19, 314)(20, 317)(21, 315)(22, 334)(23, 335)(24, 318)(25, 320)(26, 338)(27, 339)(28, 323)(29, 325)(30, 342)(31, 343)(32, 328)(33, 329)(34, 346)(35, 347)(36, 332)(37, 333)(38, 350)(39, 351)(40, 336)(41, 337)(42, 354)(43, 355)(44, 340)(45, 341)(46, 358)(47, 359)(48, 344)(49, 345)(50, 362)(51, 363)(52, 348)(53, 349)(54, 366)(55, 367)(56, 352)(57, 353)(58, 370)(59, 371)(60, 356)(61, 357)(62, 417)(63, 419)(64, 360)(65, 361)(66, 421)(67, 423)(68, 364)(69, 383)(70, 379)(71, 392)(72, 393)(73, 387)(74, 388)(75, 386)(76, 385)(77, 374)(78, 399)(79, 382)(80, 381)(81, 373)(82, 372)(83, 378)(84, 396)(85, 395)(86, 377)(87, 369)(88, 376)(89, 391)(90, 390)(91, 375)(92, 402)(93, 401)(94, 384)(95, 368)(96, 398)(97, 380)(98, 365)(99, 406)(100, 394)(101, 404)(102, 389)(103, 410)(104, 400)(105, 408)(106, 397)(107, 414)(108, 405)(109, 412)(110, 403)(111, 420)(112, 409)(113, 437)(114, 416)(115, 448)(116, 407)(117, 428)(118, 456)(119, 439)(120, 413)(121, 427)(122, 429)(123, 432)(124, 425)(125, 435)(126, 426)(127, 438)(128, 440)(129, 441)(130, 442)(131, 444)(132, 445)(133, 430)(134, 433)(135, 431)(136, 446)(137, 447)(138, 436)(139, 434)(140, 449)(141, 450)(142, 451)(143, 452)(144, 443)(145, 453)(146, 454)(147, 418)(148, 422)(149, 415)(150, 455)(151, 424)(152, 411)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	local type(s) :: { ( 8, 76 ), ( 8, 76, 8, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.1090
Graph:: simple bipartite
	v = 228 e = 304 f = 42
	degree seq :: [ 2^152, 4^76 ]

E18.1092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1)^4, Y1^38 ]
Map:: polytopal
	R = (1, 153, 2, 154, 5, 157, 11, 163, 20, 172, 29, 181, 37, 189, 45, 197, 53, 205, 61, 213, 95, 247, 83, 235, 77, 229, 71, 223, 74, 226, 80, 232, 89, 241, 97, 249, 103, 255, 109, 261, 113, 265, 118, 270, 151, 303, 147, 299, 138, 290, 144, 296, 139, 291, 145, 297, 150, 302, 68, 220, 60, 212, 52, 204, 44, 196, 36, 188, 28, 180, 19, 171, 10, 162, 4, 156)(3, 155, 7, 159, 15, 167, 25, 177, 33, 185, 41, 193, 49, 201, 57, 209, 65, 217, 88, 240, 99, 251, 73, 225, 85, 237, 69, 221, 84, 236, 78, 230, 100, 252, 96, 248, 111, 263, 108, 260, 120, 272, 116, 268, 143, 295, 136, 288, 128, 280, 135, 287, 131, 283, 140, 292, 148, 300, 152, 304, 62, 214, 55, 207, 46, 198, 39, 191, 30, 182, 22, 174, 12, 164, 8, 160)(6, 158, 13, 165, 9, 161, 18, 170, 27, 179, 35, 187, 43, 195, 51, 203, 59, 211, 67, 219, 105, 257, 79, 231, 92, 244, 70, 222, 91, 243, 72, 224, 94, 246, 87, 239, 107, 259, 102, 254, 115, 267, 112, 264, 149, 301, 122, 274, 134, 286, 130, 282, 125, 277, 129, 281, 137, 289, 146, 298, 117, 269, 63, 215, 54, 206, 47, 199, 38, 190, 31, 183, 21, 173, 14, 166)(16, 168, 23, 175, 17, 169, 24, 176, 32, 184, 40, 192, 48, 200, 56, 208, 64, 216, 106, 258, 101, 253, 93, 245, 86, 238, 75, 227, 81, 233, 76, 228, 82, 234, 90, 242, 98, 250, 104, 256, 110, 262, 114, 266, 119, 271, 141, 293, 132, 284, 126, 278, 123, 275, 124, 276, 127, 279, 133, 285, 142, 294, 121, 273, 66, 218, 58, 210, 50, 202, 42, 194, 34, 186, 26, 178)(305, 457)(306, 458)(307, 459)(308, 460)(309, 461)(310, 462)(311, 463)(312, 464)(313, 465)(314, 466)(315, 467)(316, 468)(317, 469)(318, 470)(319, 471)(320, 472)(321, 473)(322, 474)(323, 475)(324, 476)(325, 477)(326, 478)(327, 479)(328, 480)(329, 481)(330, 482)(331, 483)(332, 484)(333, 485)(334, 486)(335, 487)(336, 488)(337, 489)(338, 490)(339, 491)(340, 492)(341, 493)(342, 494)(343, 495)(344, 496)(345, 497)(346, 498)(347, 499)(348, 500)(349, 501)(350, 502)(351, 503)(352, 504)(353, 505)(354, 506)(355, 507)(356, 508)(357, 509)(358, 510)(359, 511)(360, 512)(361, 513)(362, 514)(363, 515)(364, 516)(365, 517)(366, 518)(367, 519)(368, 520)(369, 521)(370, 522)(371, 523)(372, 524)(373, 525)(374, 526)(375, 527)(376, 528)(377, 529)(378, 530)(379, 531)(380, 532)(381, 533)(382, 534)(383, 535)(384, 536)(385, 537)(386, 538)(387, 539)(388, 540)(389, 541)(390, 542)(391, 543)(392, 544)(393, 545)(394, 546)(395, 547)(396, 548)(397, 549)(398, 550)(399, 551)(400, 552)(401, 553)(402, 554)(403, 555)(404, 556)(405, 557)(406, 558)(407, 559)(408, 560)(409, 561)(410, 562)(411, 563)(412, 564)(413, 565)(414, 566)(415, 567)(416, 568)(417, 569)(418, 570)(419, 571)(420, 572)(421, 573)(422, 574)(423, 575)(424, 576)(425, 577)(426, 578)(427, 579)(428, 580)(429, 581)(430, 582)(431, 583)(432, 584)(433, 585)(434, 586)(435, 587)(436, 588)(437, 589)(438, 590)(439, 591)(440, 592)(441, 593)(442, 594)(443, 595)(444, 596)(445, 597)(446, 598)(447, 599)(448, 600)(449, 601)(450, 602)(451, 603)(452, 604)(453, 605)(454, 606)(455, 607)(456, 608)
	L = (1, 307)(2, 310)(3, 305)(4, 313)(5, 316)(6, 306)(7, 320)(8, 321)(9, 308)(10, 319)(11, 325)(12, 309)(13, 327)(14, 328)(15, 314)(16, 311)(17, 312)(18, 330)(19, 331)(20, 334)(21, 315)(22, 336)(23, 317)(24, 318)(25, 338)(26, 322)(27, 323)(28, 337)(29, 342)(30, 324)(31, 344)(32, 326)(33, 332)(34, 329)(35, 346)(36, 347)(37, 350)(38, 333)(39, 352)(40, 335)(41, 354)(42, 339)(43, 340)(44, 353)(45, 358)(46, 341)(47, 360)(48, 343)(49, 348)(50, 345)(51, 362)(52, 363)(53, 366)(54, 349)(55, 368)(56, 351)(57, 370)(58, 355)(59, 356)(60, 369)(61, 421)(62, 357)(63, 410)(64, 359)(65, 364)(66, 361)(67, 425)(68, 409)(69, 427)(70, 428)(71, 429)(72, 430)(73, 431)(74, 432)(75, 433)(76, 434)(77, 435)(78, 436)(79, 437)(80, 438)(81, 439)(82, 440)(83, 441)(84, 442)(85, 443)(86, 444)(87, 445)(88, 446)(89, 447)(90, 426)(91, 448)(92, 449)(93, 450)(94, 451)(95, 452)(96, 423)(97, 453)(98, 420)(99, 454)(100, 455)(101, 456)(102, 418)(103, 424)(104, 416)(105, 372)(106, 367)(107, 422)(108, 414)(109, 419)(110, 412)(111, 417)(112, 408)(113, 415)(114, 406)(115, 413)(116, 402)(117, 365)(118, 411)(119, 400)(120, 407)(121, 371)(122, 394)(123, 373)(124, 374)(125, 375)(126, 376)(127, 377)(128, 378)(129, 379)(130, 380)(131, 381)(132, 382)(133, 383)(134, 384)(135, 385)(136, 386)(137, 387)(138, 388)(139, 389)(140, 390)(141, 391)(142, 392)(143, 393)(144, 395)(145, 396)(146, 397)(147, 398)(148, 399)(149, 401)(150, 403)(151, 404)(152, 405)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1089
Graph:: simple bipartite
	v = 156 e = 304 f = 114
	degree seq :: [ 2^152, 76^4 ]

E18.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^38 ]
Map::
	R = (1, 153, 2, 154)(3, 155, 7, 159)(4, 156, 9, 161)(5, 157, 11, 163)(6, 158, 13, 165)(8, 160, 14, 166)(10, 162, 12, 164)(15, 167, 20, 172)(16, 168, 23, 175)(17, 169, 25, 177)(18, 170, 21, 173)(19, 171, 27, 179)(22, 174, 29, 181)(24, 176, 31, 183)(26, 178, 32, 184)(28, 180, 30, 182)(33, 185, 39, 191)(34, 186, 41, 193)(35, 187, 37, 189)(36, 188, 43, 195)(38, 190, 45, 197)(40, 192, 47, 199)(42, 194, 48, 200)(44, 196, 46, 198)(49, 201, 55, 207)(50, 202, 57, 209)(51, 203, 53, 205)(52, 204, 59, 211)(54, 206, 61, 213)(56, 208, 63, 215)(58, 210, 64, 216)(60, 212, 62, 214)(65, 217, 71, 223)(66, 218, 104, 256)(67, 219, 105, 257)(68, 220, 80, 232)(69, 221, 107, 259)(70, 222, 108, 260)(72, 224, 109, 261)(73, 225, 110, 262)(74, 226, 111, 263)(75, 227, 112, 264)(76, 228, 113, 265)(77, 229, 114, 266)(78, 230, 115, 267)(79, 231, 116, 268)(81, 233, 117, 269)(82, 234, 118, 270)(83, 235, 119, 271)(84, 236, 120, 272)(85, 237, 121, 273)(86, 238, 122, 274)(87, 239, 123, 275)(88, 240, 124, 276)(89, 241, 125, 277)(90, 242, 126, 278)(91, 243, 127, 279)(92, 244, 128, 280)(93, 245, 129, 281)(94, 246, 130, 282)(95, 247, 131, 283)(96, 248, 132, 284)(97, 249, 134, 286)(98, 250, 135, 287)(99, 251, 136, 288)(100, 252, 137, 289)(101, 253, 139, 291)(102, 254, 140, 292)(103, 255, 142, 294)(106, 258, 144, 296)(133, 285, 152, 304)(138, 290, 151, 303)(141, 293, 149, 301)(143, 295, 150, 302)(145, 297, 148, 300)(146, 298, 147, 299)(305, 457, 307, 459, 312, 464, 321, 473, 330, 482, 338, 490, 346, 498, 354, 506, 362, 514, 370, 522, 377, 529, 380, 532, 387, 539, 390, 542, 395, 547, 398, 550, 403, 555, 406, 558, 445, 597, 452, 604, 455, 607, 456, 608, 443, 595, 438, 590, 433, 585, 429, 581, 425, 577, 421, 573, 416, 568, 372, 524, 364, 516, 356, 508, 348, 500, 340, 492, 332, 484, 323, 475, 314, 466, 308, 460)(306, 458, 309, 461, 316, 468, 326, 478, 334, 486, 342, 494, 350, 502, 358, 510, 366, 518, 373, 525, 379, 531, 378, 530, 389, 541, 388, 540, 397, 549, 396, 548, 405, 557, 404, 556, 442, 594, 450, 602, 453, 605, 446, 598, 440, 592, 435, 587, 431, 583, 427, 579, 423, 575, 419, 571, 414, 566, 418, 570, 368, 520, 360, 512, 352, 504, 344, 496, 336, 488, 328, 480, 318, 470, 310, 462)(311, 463, 319, 471, 313, 465, 322, 474, 331, 483, 339, 491, 347, 499, 355, 507, 363, 515, 371, 523, 384, 536, 374, 526, 385, 537, 383, 535, 393, 545, 392, 544, 401, 553, 400, 552, 437, 589, 410, 562, 449, 601, 454, 606, 444, 596, 439, 591, 434, 586, 430, 582, 426, 578, 422, 574, 417, 569, 413, 565, 408, 560, 369, 521, 361, 513, 353, 505, 345, 497, 337, 489, 329, 481, 320, 472)(315, 467, 324, 476, 317, 469, 327, 479, 335, 487, 343, 495, 351, 503, 359, 511, 367, 519, 375, 527, 381, 533, 376, 528, 382, 534, 386, 538, 391, 543, 394, 546, 399, 551, 402, 554, 407, 559, 447, 599, 451, 603, 448, 600, 441, 593, 436, 588, 432, 584, 428, 580, 424, 576, 420, 572, 415, 567, 412, 564, 411, 563, 409, 561, 365, 517, 357, 509, 349, 501, 341, 493, 333, 485, 325, 477)
	L = (1, 306)(2, 305)(3, 311)(4, 313)(5, 315)(6, 317)(7, 307)(8, 318)(9, 308)(10, 316)(11, 309)(12, 314)(13, 310)(14, 312)(15, 324)(16, 327)(17, 329)(18, 325)(19, 331)(20, 319)(21, 322)(22, 333)(23, 320)(24, 335)(25, 321)(26, 336)(27, 323)(28, 334)(29, 326)(30, 332)(31, 328)(32, 330)(33, 343)(34, 345)(35, 341)(36, 347)(37, 339)(38, 349)(39, 337)(40, 351)(41, 338)(42, 352)(43, 340)(44, 350)(45, 342)(46, 348)(47, 344)(48, 346)(49, 359)(50, 361)(51, 357)(52, 363)(53, 355)(54, 365)(55, 353)(56, 367)(57, 354)(58, 368)(59, 356)(60, 366)(61, 358)(62, 364)(63, 360)(64, 362)(65, 375)(66, 408)(67, 409)(68, 384)(69, 411)(70, 412)(71, 369)(72, 413)(73, 414)(74, 415)(75, 416)(76, 417)(77, 418)(78, 419)(79, 420)(80, 372)(81, 421)(82, 422)(83, 423)(84, 424)(85, 425)(86, 426)(87, 427)(88, 428)(89, 429)(90, 430)(91, 431)(92, 432)(93, 433)(94, 434)(95, 435)(96, 436)(97, 438)(98, 439)(99, 440)(100, 441)(101, 443)(102, 444)(103, 446)(104, 370)(105, 371)(106, 448)(107, 373)(108, 374)(109, 376)(110, 377)(111, 378)(112, 379)(113, 380)(114, 381)(115, 382)(116, 383)(117, 385)(118, 386)(119, 387)(120, 388)(121, 389)(122, 390)(123, 391)(124, 392)(125, 393)(126, 394)(127, 395)(128, 396)(129, 397)(130, 398)(131, 399)(132, 400)(133, 456)(134, 401)(135, 402)(136, 403)(137, 404)(138, 455)(139, 405)(140, 406)(141, 453)(142, 407)(143, 454)(144, 410)(145, 452)(146, 451)(147, 450)(148, 449)(149, 445)(150, 447)(151, 442)(152, 437)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	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 ) }
Outer automorphisms :: reflexible
Dual of E18.1094
Graph:: bipartite
	v = 80 e = 304 f = 190
	degree seq :: [ 4^76, 76^4 ]

E18.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 38})
Quotient :: dipole
Aut^+ = (C38 x C2) : C2 (small group id <152, 7>)
Aut   = D8 x D38 (small group id <304, 31>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^38 ]
Map:: polytopal
	R = (1, 153, 2, 154, 6, 158, 4, 156)(3, 155, 9, 161, 13, 165, 8, 160)(5, 157, 11, 163, 14, 166, 7, 159)(10, 162, 16, 168, 21, 173, 17, 169)(12, 164, 15, 167, 22, 174, 19, 171)(18, 170, 25, 177, 29, 181, 24, 176)(20, 172, 27, 179, 30, 182, 23, 175)(26, 178, 32, 184, 37, 189, 33, 185)(28, 180, 31, 183, 38, 190, 35, 187)(34, 186, 41, 193, 45, 197, 40, 192)(36, 188, 43, 195, 46, 198, 39, 191)(42, 194, 48, 200, 53, 205, 49, 201)(44, 196, 47, 199, 54, 206, 51, 203)(50, 202, 57, 209, 61, 213, 56, 208)(52, 204, 59, 211, 62, 214, 55, 207)(58, 210, 64, 216, 101, 253, 65, 217)(60, 212, 63, 215, 71, 223, 67, 219)(66, 218, 70, 222, 110, 262, 72, 224)(68, 220, 107, 259, 69, 221, 103, 255)(73, 225, 114, 266, 77, 229, 116, 268)(74, 226, 106, 258, 75, 227, 118, 270)(76, 228, 120, 272, 81, 233, 122, 274)(78, 230, 124, 276, 79, 231, 126, 278)(80, 232, 128, 280, 85, 237, 130, 282)(82, 234, 132, 284, 83, 235, 134, 286)(84, 236, 136, 288, 89, 241, 138, 290)(86, 238, 140, 292, 87, 239, 142, 294)(88, 240, 144, 296, 93, 245, 146, 298)(90, 242, 148, 300, 91, 243, 150, 302)(92, 244, 149, 301, 97, 249, 151, 303)(94, 246, 152, 304, 95, 247, 145, 297)(96, 248, 143, 295, 102, 254, 141, 293)(98, 250, 137, 289, 99, 251, 147, 299)(100, 252, 133, 285, 112, 264, 135, 287)(104, 256, 139, 291, 105, 257, 129, 281)(108, 260, 127, 279, 109, 261, 125, 277)(111, 263, 131, 283, 113, 265, 121, 273)(115, 267, 119, 271, 123, 275, 117, 269)(305, 457)(306, 458)(307, 459)(308, 460)(309, 461)(310, 462)(311, 463)(312, 464)(313, 465)(314, 466)(315, 467)(316, 468)(317, 469)(318, 470)(319, 471)(320, 472)(321, 473)(322, 474)(323, 475)(324, 476)(325, 477)(326, 478)(327, 479)(328, 480)(329, 481)(330, 482)(331, 483)(332, 484)(333, 485)(334, 486)(335, 487)(336, 488)(337, 489)(338, 490)(339, 491)(340, 492)(341, 493)(342, 494)(343, 495)(344, 496)(345, 497)(346, 498)(347, 499)(348, 500)(349, 501)(350, 502)(351, 503)(352, 504)(353, 505)(354, 506)(355, 507)(356, 508)(357, 509)(358, 510)(359, 511)(360, 512)(361, 513)(362, 514)(363, 515)(364, 516)(365, 517)(366, 518)(367, 519)(368, 520)(369, 521)(370, 522)(371, 523)(372, 524)(373, 525)(374, 526)(375, 527)(376, 528)(377, 529)(378, 530)(379, 531)(380, 532)(381, 533)(382, 534)(383, 535)(384, 536)(385, 537)(386, 538)(387, 539)(388, 540)(389, 541)(390, 542)(391, 543)(392, 544)(393, 545)(394, 546)(395, 547)(396, 548)(397, 549)(398, 550)(399, 551)(400, 552)(401, 553)(402, 554)(403, 555)(404, 556)(405, 557)(406, 558)(407, 559)(408, 560)(409, 561)(410, 562)(411, 563)(412, 564)(413, 565)(414, 566)(415, 567)(416, 568)(417, 569)(418, 570)(419, 571)(420, 572)(421, 573)(422, 574)(423, 575)(424, 576)(425, 577)(426, 578)(427, 579)(428, 580)(429, 581)(430, 582)(431, 583)(432, 584)(433, 585)(434, 586)(435, 587)(436, 588)(437, 589)(438, 590)(439, 591)(440, 592)(441, 593)(442, 594)(443, 595)(444, 596)(445, 597)(446, 598)(447, 599)(448, 600)(449, 601)(450, 602)(451, 603)(452, 604)(453, 605)(454, 606)(455, 607)(456, 608)
	L = (1, 307)(2, 311)(3, 314)(4, 315)(5, 305)(6, 317)(7, 319)(8, 306)(9, 308)(10, 322)(11, 323)(12, 309)(13, 325)(14, 310)(15, 327)(16, 312)(17, 313)(18, 330)(19, 331)(20, 316)(21, 333)(22, 318)(23, 335)(24, 320)(25, 321)(26, 338)(27, 339)(28, 324)(29, 341)(30, 326)(31, 343)(32, 328)(33, 329)(34, 346)(35, 347)(36, 332)(37, 349)(38, 334)(39, 351)(40, 336)(41, 337)(42, 354)(43, 355)(44, 340)(45, 357)(46, 342)(47, 359)(48, 344)(49, 345)(50, 362)(51, 363)(52, 348)(53, 365)(54, 350)(55, 367)(56, 352)(57, 353)(58, 370)(59, 371)(60, 356)(61, 405)(62, 358)(63, 407)(64, 360)(65, 361)(66, 410)(67, 411)(68, 364)(69, 375)(70, 369)(71, 366)(72, 368)(73, 373)(74, 374)(75, 376)(76, 377)(77, 372)(78, 378)(79, 379)(80, 380)(81, 381)(82, 382)(83, 383)(84, 384)(85, 385)(86, 386)(87, 387)(88, 388)(89, 389)(90, 390)(91, 391)(92, 392)(93, 393)(94, 394)(95, 395)(96, 396)(97, 397)(98, 398)(99, 399)(100, 400)(101, 414)(102, 401)(103, 420)(104, 402)(105, 403)(106, 430)(107, 418)(108, 404)(109, 416)(110, 422)(111, 409)(112, 406)(113, 408)(114, 426)(115, 413)(116, 424)(117, 415)(118, 428)(119, 417)(120, 434)(121, 419)(122, 432)(123, 412)(124, 438)(125, 421)(126, 436)(127, 423)(128, 442)(129, 425)(130, 440)(131, 427)(132, 446)(133, 429)(134, 444)(135, 431)(136, 450)(137, 433)(138, 448)(139, 435)(140, 454)(141, 437)(142, 452)(143, 439)(144, 455)(145, 441)(146, 453)(147, 443)(148, 449)(149, 445)(150, 456)(151, 447)(152, 451)(153, 457)(154, 458)(155, 459)(156, 460)(157, 461)(158, 462)(159, 463)(160, 464)(161, 465)(162, 466)(163, 467)(164, 468)(165, 469)(166, 470)(167, 471)(168, 472)(169, 473)(170, 474)(171, 475)(172, 476)(173, 477)(174, 478)(175, 479)(176, 480)(177, 481)(178, 482)(179, 483)(180, 484)(181, 485)(182, 486)(183, 487)(184, 488)(185, 489)(186, 490)(187, 491)(188, 492)(189, 493)(190, 494)(191, 495)(192, 496)(193, 497)(194, 498)(195, 499)(196, 500)(197, 501)(198, 502)(199, 503)(200, 504)(201, 505)(202, 506)(203, 507)(204, 508)(205, 509)(206, 510)(207, 511)(208, 512)(209, 513)(210, 514)(211, 515)(212, 516)(213, 517)(214, 518)(215, 519)(216, 520)(217, 521)(218, 522)(219, 523)(220, 524)(221, 525)(222, 526)(223, 527)(224, 528)(225, 529)(226, 530)(227, 531)(228, 532)(229, 533)(230, 534)(231, 535)(232, 536)(233, 537)(234, 538)(235, 539)(236, 540)(237, 541)(238, 542)(239, 543)(240, 544)(241, 545)(242, 546)(243, 547)(244, 548)(245, 549)(246, 550)(247, 551)(248, 552)(249, 553)(250, 554)(251, 555)(252, 556)(253, 557)(254, 558)(255, 559)(256, 560)(257, 561)(258, 562)(259, 563)(260, 564)(261, 565)(262, 566)(263, 567)(264, 568)(265, 569)(266, 570)(267, 571)(268, 572)(269, 573)(270, 574)(271, 575)(272, 576)(273, 577)(274, 578)(275, 579)(276, 580)(277, 581)(278, 582)(279, 583)(280, 584)(281, 585)(282, 586)(283, 587)(284, 588)(285, 589)(286, 590)(287, 591)(288, 592)(289, 593)(290, 594)(291, 595)(292, 596)(293, 597)(294, 598)(295, 599)(296, 600)(297, 601)(298, 602)(299, 603)(300, 604)(301, 605)(302, 606)(303, 607)(304, 608)
	local type(s) :: { ( 4, 76 ), ( 4, 76, 4, 76, 4, 76, 4, 76 ) }
Outer automorphisms :: reflexible
Dual of E18.1093
Graph:: simple bipartite
	v = 190 e = 304 f = 80
	degree seq :: [ 2^152, 8^38 ]

E18.1095 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 21})
Quotient :: regular
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2 * T1^-1)^2, (T1^-1 * T2)^4, T1^21 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 80, 97, 113, 129, 144, 128, 112, 96, 79, 60, 40, 22, 10, 4)(3, 7, 15, 31, 51, 71, 89, 105, 121, 137, 152, 146, 130, 117, 99, 81, 65, 43, 24, 18, 8)(6, 13, 27, 21, 39, 59, 78, 95, 111, 127, 143, 158, 145, 133, 115, 98, 84, 63, 42, 30, 14)(9, 19, 37, 57, 76, 93, 109, 125, 141, 156, 148, 131, 114, 101, 82, 62, 46, 26, 12, 25, 20)(16, 33, 53, 36, 45, 67, 86, 100, 118, 135, 147, 160, 163, 155, 139, 122, 108, 91, 72, 55, 34)(17, 35, 50, 64, 85, 103, 116, 134, 150, 159, 164, 153, 138, 123, 106, 90, 73, 52, 32, 48, 28)(29, 49, 68, 83, 102, 119, 132, 149, 161, 166, 157, 142, 126, 110, 94, 77, 58, 38, 47, 66, 44)(54, 75, 92, 107, 124, 140, 154, 165, 168, 167, 162, 151, 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, 145)(131, 147)(133, 150)(134, 151)(139, 154)(141, 155)(143, 153)(144, 156)(146, 159)(148, 161)(149, 162)(152, 163)(157, 165)(158, 166)(160, 167)(164, 168)
	local type(s) :: { ( 4^21 ) }
Outer automorphisms :: reflexible
Dual of E18.1096
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 84 f = 42
	degree seq :: [ 21^8 ]

E18.1096 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 21})
Quotient :: regular
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|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)^21 ]
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, 121, 76, 124)(74, 122, 75, 123)(77, 125, 81, 126)(78, 127, 80, 129)(79, 130, 87, 131)(82, 132, 83, 134)(84, 128, 97, 135)(85, 136, 86, 138)(88, 139, 89, 141)(90, 142, 91, 144)(92, 133, 104, 143)(93, 145, 94, 146)(95, 147, 96, 148)(98, 137, 103, 140)(99, 149, 100, 150)(101, 151, 102, 152)(105, 153, 106, 154)(107, 155, 108, 156)(109, 157, 110, 158)(111, 159, 112, 160)(113, 161, 114, 162)(115, 163, 116, 164)(117, 165, 118, 166)(119, 167, 120, 168)
	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, 97)(70, 79)(71, 87)(72, 84)(77, 124)(78, 128)(80, 130)(81, 122)(82, 133)(83, 125)(85, 137)(86, 127)(88, 140)(89, 129)(90, 143)(91, 126)(92, 123)(93, 144)(94, 132)(95, 142)(96, 134)(98, 131)(99, 141)(100, 136)(101, 139)(102, 138)(103, 135)(104, 121)(105, 148)(106, 145)(107, 147)(108, 146)(109, 152)(110, 149)(111, 151)(112, 150)(113, 156)(114, 153)(115, 155)(116, 154)(117, 160)(118, 157)(119, 159)(120, 158)(161, 168)(162, 165)(163, 166)(164, 167)
	local type(s) :: { ( 21^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1095
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 84 f = 8
	degree seq :: [ 4^42 ]

E18.1097 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 21})
Quotient :: edge
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|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)^21 ]
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, 134, 72, 135)(70, 136, 71, 133)(77, 141, 96, 142)(78, 137, 91, 138)(79, 149, 111, 150)(80, 151, 110, 152)(81, 153, 103, 154)(82, 155, 102, 156)(83, 130, 85, 129)(84, 143, 124, 144)(86, 126, 88, 125)(87, 139, 119, 140)(89, 157, 93, 158)(90, 159, 92, 160)(94, 161, 98, 162)(95, 163, 97, 164)(99, 112, 101, 114)(100, 132, 105, 131)(104, 109, 106, 107)(108, 128, 113, 127)(115, 165, 118, 166)(116, 167, 117, 168)(120, 148, 123, 145)(121, 146, 122, 147)(169, 170)(171, 175)(172, 177)(173, 178)(174, 180)(176, 183)(179, 188)(181, 191)(182, 193)(184, 196)(185, 198)(186, 199)(187, 201)(189, 204)(190, 206)(192, 203)(194, 205)(195, 200)(197, 202)(207, 217)(208, 218)(209, 219)(210, 220)(211, 216)(212, 221)(213, 222)(214, 223)(215, 224)(225, 233)(226, 234)(227, 235)(228, 236)(229, 237)(230, 238)(231, 239)(232, 240)(241, 313)(242, 314)(243, 315)(244, 316)(245, 297)(246, 293)(247, 305)(248, 306)(249, 309)(250, 310)(251, 282)(252, 298)(253, 275)(254, 274)(255, 294)(256, 267)(257, 317)(258, 318)(259, 296)(260, 319)(261, 320)(262, 321)(263, 322)(264, 300)(265, 323)(266, 324)(268, 280)(269, 281)(270, 311)(271, 312)(272, 276)(273, 277)(278, 307)(279, 308)(283, 325)(284, 326)(285, 327)(286, 328)(287, 295)(288, 329)(289, 330)(290, 331)(291, 332)(292, 299)(301, 333)(302, 334)(303, 335)(304, 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) :: { ( 42, 42 ), ( 42^4 ) }
Outer automorphisms :: reflexible
Dual of E18.1101
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 168 f = 8
	degree seq :: [ 2^84, 4^42 ]

E18.1098 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 21})
Quotient :: edge
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^21 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 43, 60, 76, 92, 108, 124, 140, 144, 128, 112, 96, 80, 64, 47, 29, 14, 5)(2, 7, 17, 35, 54, 70, 86, 102, 118, 134, 150, 152, 136, 120, 104, 88, 72, 56, 38, 20, 8)(4, 12, 26, 45, 62, 78, 94, 110, 126, 142, 157, 154, 138, 122, 106, 90, 74, 58, 41, 22, 9)(6, 15, 30, 49, 66, 82, 98, 114, 130, 146, 160, 162, 148, 132, 116, 100, 84, 68, 52, 33, 16)(11, 25, 13, 28, 46, 63, 79, 95, 111, 127, 143, 158, 155, 139, 123, 107, 91, 75, 59, 42, 23)(18, 36, 19, 37, 55, 71, 87, 103, 119, 135, 151, 164, 163, 149, 133, 117, 101, 85, 69, 53, 34)(21, 39, 57, 73, 89, 105, 121, 137, 153, 165, 166, 156, 141, 125, 109, 93, 77, 61, 44, 27, 40)(31, 50, 32, 51, 67, 83, 99, 115, 131, 147, 161, 168, 167, 159, 145, 129, 113, 97, 81, 65, 48)(169, 170, 174, 172)(171, 177, 189, 179)(173, 181, 186, 175)(176, 187, 199, 183)(178, 191, 205, 188)(180, 184, 200, 195)(182, 194, 212, 196)(185, 202, 219, 201)(190, 198, 216, 207)(192, 206, 217, 209)(193, 208, 218, 204)(197, 203, 220, 213)(210, 225, 233, 223)(211, 226, 241, 227)(214, 229, 235, 221)(215, 231, 237, 222)(224, 239, 249, 234)(228, 243, 255, 240)(230, 236, 251, 245)(232, 246, 261, 247)(238, 253, 267, 252)(242, 250, 265, 257)(244, 256, 266, 258)(248, 254, 268, 262)(259, 273, 281, 271)(260, 274, 289, 275)(263, 277, 283, 269)(264, 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, 327, 319)(308, 322, 333, 323)(311, 324, 329, 317)(312, 326, 331, 318)(320, 332, 335, 328)(325, 330, 336, 334)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 4^4 ), ( 4^21 ) }
Outer automorphisms :: reflexible
Dual of E18.1102
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 168 f = 84
	degree seq :: [ 4^42, 21^8 ]

E18.1099 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 21})
Quotient :: edge
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^-3)^2, T1^21 ]
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, 145)(131, 147)(133, 150)(134, 151)(139, 154)(141, 155)(143, 153)(144, 156)(146, 159)(148, 161)(149, 162)(152, 163)(157, 165)(158, 166)(160, 167)(164, 168)(169, 170, 173, 179, 191, 209, 229, 248, 265, 281, 297, 312, 296, 280, 264, 247, 228, 208, 190, 178, 172)(171, 175, 183, 199, 219, 239, 257, 273, 289, 305, 320, 314, 298, 285, 267, 249, 233, 211, 192, 186, 176)(174, 181, 195, 189, 207, 227, 246, 263, 279, 295, 311, 326, 313, 301, 283, 266, 252, 231, 210, 198, 182)(177, 187, 205, 225, 244, 261, 277, 293, 309, 324, 316, 299, 282, 269, 250, 230, 214, 194, 180, 193, 188)(184, 201, 221, 204, 213, 235, 254, 268, 286, 303, 315, 328, 331, 323, 307, 290, 276, 259, 240, 223, 202)(185, 203, 218, 232, 253, 271, 284, 302, 318, 327, 332, 321, 306, 291, 274, 258, 241, 220, 200, 216, 196)(197, 217, 236, 251, 270, 287, 300, 317, 329, 334, 325, 310, 294, 278, 262, 245, 226, 206, 215, 234, 212)(222, 243, 260, 275, 292, 308, 322, 333, 336, 335, 330, 319, 304, 288, 272, 256, 238, 224, 242, 255, 237)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 8, 8 ), ( 8^21 ) }
Outer automorphisms :: reflexible
Dual of E18.1100
Transitivity :: ET+
Graph:: simple bipartite
	v = 92 e = 168 f = 42
	degree seq :: [ 2^84, 21^8 ]

E18.1100 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 21})
Quotient :: loop
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|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)^21 ]
Map::
	R = (1, 169, 3, 171, 8, 176, 4, 172)(2, 170, 5, 173, 11, 179, 6, 174)(7, 175, 13, 181, 24, 192, 14, 182)(9, 177, 16, 184, 29, 197, 17, 185)(10, 178, 18, 186, 32, 200, 19, 187)(12, 180, 21, 189, 37, 205, 22, 190)(15, 183, 26, 194, 43, 211, 27, 195)(20, 188, 34, 202, 48, 216, 35, 203)(23, 191, 39, 207, 30, 198, 40, 208)(25, 193, 41, 209, 28, 196, 42, 210)(31, 199, 44, 212, 38, 206, 45, 213)(33, 201, 46, 214, 36, 204, 47, 215)(49, 217, 57, 225, 52, 220, 58, 226)(50, 218, 59, 227, 51, 219, 60, 228)(53, 221, 61, 229, 56, 224, 62, 230)(54, 222, 63, 231, 55, 223, 64, 232)(65, 233, 73, 241, 68, 236, 74, 242)(66, 234, 75, 243, 67, 235, 76, 244)(69, 237, 113, 281, 72, 240, 119, 287)(70, 238, 115, 283, 71, 239, 117, 285)(77, 245, 121, 289, 86, 254, 123, 291)(78, 246, 124, 292, 85, 253, 126, 294)(79, 247, 128, 296, 81, 249, 130, 298)(80, 248, 131, 299, 100, 268, 127, 295)(82, 250, 135, 303, 84, 252, 137, 305)(83, 251, 138, 306, 99, 267, 134, 302)(87, 255, 144, 312, 89, 257, 146, 314)(88, 256, 147, 315, 91, 259, 143, 311)(90, 258, 150, 318, 92, 260, 152, 320)(93, 261, 156, 324, 95, 263, 158, 326)(94, 262, 159, 327, 97, 265, 155, 323)(96, 264, 162, 330, 98, 266, 164, 332)(101, 269, 161, 329, 102, 270, 166, 334)(103, 271, 157, 325, 104, 272, 163, 331)(105, 273, 149, 317, 106, 274, 154, 322)(107, 275, 145, 313, 108, 276, 151, 319)(109, 277, 160, 328, 110, 278, 140, 308)(111, 279, 165, 333, 112, 280, 136, 304)(114, 282, 148, 316, 116, 284, 133, 301)(118, 286, 153, 321, 120, 288, 129, 297)(122, 290, 141, 309, 168, 336, 139, 307)(125, 293, 142, 310, 167, 335, 132, 300)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 178)(6, 180)(7, 171)(8, 183)(9, 172)(10, 173)(11, 188)(12, 174)(13, 191)(14, 193)(15, 176)(16, 196)(17, 198)(18, 199)(19, 201)(20, 179)(21, 204)(22, 206)(23, 181)(24, 203)(25, 182)(26, 205)(27, 200)(28, 184)(29, 202)(30, 185)(31, 186)(32, 195)(33, 187)(34, 197)(35, 192)(36, 189)(37, 194)(38, 190)(39, 217)(40, 218)(41, 219)(42, 220)(43, 216)(44, 221)(45, 222)(46, 223)(47, 224)(48, 211)(49, 207)(50, 208)(51, 209)(52, 210)(53, 212)(54, 213)(55, 214)(56, 215)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 254)(74, 248)(75, 268)(76, 245)(77, 244)(78, 285)(79, 295)(80, 242)(81, 291)(82, 302)(83, 287)(84, 294)(85, 281)(86, 241)(87, 311)(88, 289)(89, 298)(90, 315)(91, 299)(92, 296)(93, 323)(94, 292)(95, 305)(96, 327)(97, 306)(98, 303)(99, 283)(100, 243)(101, 318)(102, 314)(103, 320)(104, 312)(105, 330)(106, 326)(107, 332)(108, 324)(109, 325)(110, 334)(111, 331)(112, 329)(113, 253)(114, 313)(115, 267)(116, 322)(117, 246)(118, 319)(119, 251)(120, 317)(121, 256)(122, 328)(123, 249)(124, 262)(125, 316)(126, 252)(127, 247)(128, 260)(129, 335)(130, 257)(131, 259)(132, 308)(133, 307)(134, 250)(135, 266)(136, 336)(137, 263)(138, 265)(139, 301)(140, 300)(141, 321)(142, 333)(143, 255)(144, 272)(145, 282)(146, 270)(147, 258)(148, 293)(149, 288)(150, 269)(151, 286)(152, 271)(153, 309)(154, 284)(155, 261)(156, 276)(157, 277)(158, 274)(159, 264)(160, 290)(161, 280)(162, 273)(163, 279)(164, 275)(165, 310)(166, 278)(167, 297)(168, 304)
	local type(s) :: { ( 2, 21, 2, 21, 2, 21, 2, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.1099
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 168 f = 92
	degree seq :: [ 8^42 ]

E18.1101 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 21})
Quotient :: loop
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-2 * T1)^2, T2^21 ]
Map::
	R = (1, 169, 3, 171, 10, 178, 24, 192, 43, 211, 60, 228, 76, 244, 92, 260, 108, 276, 124, 292, 140, 308, 144, 312, 128, 296, 112, 280, 96, 264, 80, 248, 64, 232, 47, 215, 29, 197, 14, 182, 5, 173)(2, 170, 7, 175, 17, 185, 35, 203, 54, 222, 70, 238, 86, 254, 102, 270, 118, 286, 134, 302, 150, 318, 152, 320, 136, 304, 120, 288, 104, 272, 88, 256, 72, 240, 56, 224, 38, 206, 20, 188, 8, 176)(4, 172, 12, 180, 26, 194, 45, 213, 62, 230, 78, 246, 94, 262, 110, 278, 126, 294, 142, 310, 157, 325, 154, 322, 138, 306, 122, 290, 106, 274, 90, 258, 74, 242, 58, 226, 41, 209, 22, 190, 9, 177)(6, 174, 15, 183, 30, 198, 49, 217, 66, 234, 82, 250, 98, 266, 114, 282, 130, 298, 146, 314, 160, 328, 162, 330, 148, 316, 132, 300, 116, 284, 100, 268, 84, 252, 68, 236, 52, 220, 33, 201, 16, 184)(11, 179, 25, 193, 13, 181, 28, 196, 46, 214, 63, 231, 79, 247, 95, 263, 111, 279, 127, 295, 143, 311, 158, 326, 155, 323, 139, 307, 123, 291, 107, 275, 91, 259, 75, 243, 59, 227, 42, 210, 23, 191)(18, 186, 36, 204, 19, 187, 37, 205, 55, 223, 71, 239, 87, 255, 103, 271, 119, 287, 135, 303, 151, 319, 164, 332, 163, 331, 149, 317, 133, 301, 117, 285, 101, 269, 85, 253, 69, 237, 53, 221, 34, 202)(21, 189, 39, 207, 57, 225, 73, 241, 89, 257, 105, 273, 121, 289, 137, 305, 153, 321, 165, 333, 166, 334, 156, 324, 141, 309, 125, 293, 109, 277, 93, 261, 77, 245, 61, 229, 44, 212, 27, 195, 40, 208)(31, 199, 50, 218, 32, 200, 51, 219, 67, 235, 83, 251, 99, 267, 115, 283, 131, 299, 147, 315, 161, 329, 168, 336, 167, 335, 159, 327, 145, 313, 129, 297, 113, 281, 97, 265, 81, 249, 65, 233, 48, 216)
	L = (1, 170)(2, 174)(3, 177)(4, 169)(5, 181)(6, 172)(7, 173)(8, 187)(9, 189)(10, 191)(11, 171)(12, 184)(13, 186)(14, 194)(15, 176)(16, 200)(17, 202)(18, 175)(19, 199)(20, 178)(21, 179)(22, 198)(23, 205)(24, 206)(25, 208)(26, 212)(27, 180)(28, 182)(29, 203)(30, 216)(31, 183)(32, 195)(33, 185)(34, 219)(35, 220)(36, 193)(37, 188)(38, 217)(39, 190)(40, 218)(41, 192)(42, 225)(43, 226)(44, 196)(45, 197)(46, 229)(47, 231)(48, 207)(49, 209)(50, 204)(51, 201)(52, 213)(53, 214)(54, 215)(55, 210)(56, 239)(57, 233)(58, 241)(59, 211)(60, 243)(61, 235)(62, 236)(63, 237)(64, 246)(65, 223)(66, 224)(67, 221)(68, 251)(69, 222)(70, 253)(71, 249)(72, 228)(73, 227)(74, 250)(75, 255)(76, 256)(77, 230)(78, 261)(79, 232)(80, 254)(81, 234)(82, 265)(83, 245)(84, 238)(85, 267)(86, 268)(87, 240)(88, 266)(89, 242)(90, 244)(91, 273)(92, 274)(93, 247)(94, 248)(95, 277)(96, 279)(97, 257)(98, 258)(99, 252)(100, 262)(101, 263)(102, 264)(103, 259)(104, 287)(105, 281)(106, 289)(107, 260)(108, 291)(109, 283)(110, 284)(111, 285)(112, 294)(113, 271)(114, 272)(115, 269)(116, 299)(117, 270)(118, 301)(119, 297)(120, 276)(121, 275)(122, 298)(123, 303)(124, 304)(125, 278)(126, 309)(127, 280)(128, 302)(129, 282)(130, 313)(131, 293)(132, 286)(133, 315)(134, 316)(135, 288)(136, 314)(137, 290)(138, 292)(139, 321)(140, 322)(141, 295)(142, 296)(143, 324)(144, 326)(145, 305)(146, 306)(147, 300)(148, 310)(149, 311)(150, 312)(151, 307)(152, 332)(153, 327)(154, 333)(155, 308)(156, 329)(157, 330)(158, 331)(159, 319)(160, 320)(161, 317)(162, 336)(163, 318)(164, 335)(165, 323)(166, 325)(167, 328)(168, 334)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E18.1097
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 168 f = 126
	degree seq :: [ 42^8 ]

E18.1102 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 21})
Quotient :: loop
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2 * T1^-3)^2, T1^21 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171)(2, 170, 6, 174)(4, 172, 9, 177)(5, 173, 12, 180)(7, 175, 16, 184)(8, 176, 17, 185)(10, 178, 21, 189)(11, 179, 24, 192)(13, 181, 28, 196)(14, 182, 29, 197)(15, 183, 32, 200)(18, 186, 36, 204)(19, 187, 38, 206)(20, 188, 33, 201)(22, 190, 31, 199)(23, 191, 42, 210)(25, 193, 44, 212)(26, 194, 45, 213)(27, 195, 47, 215)(30, 198, 50, 218)(34, 202, 54, 222)(35, 203, 56, 224)(37, 205, 55, 223)(39, 207, 52, 220)(40, 208, 57, 225)(41, 209, 62, 230)(43, 211, 64, 232)(46, 214, 68, 236)(48, 216, 69, 237)(49, 217, 70, 238)(51, 219, 72, 240)(53, 221, 74, 242)(58, 226, 75, 243)(59, 227, 77, 245)(60, 228, 78, 246)(61, 229, 81, 249)(63, 231, 83, 251)(65, 233, 86, 254)(66, 234, 87, 255)(67, 235, 88, 256)(71, 239, 90, 258)(73, 241, 92, 260)(76, 244, 94, 262)(79, 247, 89, 257)(80, 248, 98, 266)(82, 250, 100, 268)(84, 252, 103, 271)(85, 253, 104, 272)(91, 259, 107, 275)(93, 261, 108, 276)(95, 263, 106, 274)(96, 264, 109, 277)(97, 265, 114, 282)(99, 267, 116, 284)(101, 269, 119, 287)(102, 270, 120, 288)(105, 273, 122, 290)(110, 278, 124, 292)(111, 279, 126, 294)(112, 280, 127, 295)(113, 281, 130, 298)(115, 283, 132, 300)(117, 285, 135, 303)(118, 286, 136, 304)(121, 289, 138, 306)(123, 291, 140, 308)(125, 293, 142, 310)(128, 296, 137, 305)(129, 297, 145, 313)(131, 299, 147, 315)(133, 301, 150, 318)(134, 302, 151, 319)(139, 307, 154, 322)(141, 309, 155, 323)(143, 311, 153, 321)(144, 312, 156, 324)(146, 314, 159, 327)(148, 316, 161, 329)(149, 317, 162, 330)(152, 320, 163, 331)(157, 325, 165, 333)(158, 326, 166, 334)(160, 328, 167, 335)(164, 332, 168, 336)
	L = (1, 170)(2, 173)(3, 175)(4, 169)(5, 179)(6, 181)(7, 183)(8, 171)(9, 187)(10, 172)(11, 191)(12, 193)(13, 195)(14, 174)(15, 199)(16, 201)(17, 203)(18, 176)(19, 205)(20, 177)(21, 207)(22, 178)(23, 209)(24, 186)(25, 188)(26, 180)(27, 189)(28, 185)(29, 217)(30, 182)(31, 219)(32, 216)(33, 221)(34, 184)(35, 218)(36, 213)(37, 225)(38, 215)(39, 227)(40, 190)(41, 229)(42, 198)(43, 192)(44, 197)(45, 235)(46, 194)(47, 234)(48, 196)(49, 236)(50, 232)(51, 239)(52, 200)(53, 204)(54, 243)(55, 202)(56, 242)(57, 244)(58, 206)(59, 246)(60, 208)(61, 248)(62, 214)(63, 210)(64, 253)(65, 211)(66, 212)(67, 254)(68, 251)(69, 222)(70, 224)(71, 257)(72, 223)(73, 220)(74, 255)(75, 260)(76, 261)(77, 226)(78, 263)(79, 228)(80, 265)(81, 233)(82, 230)(83, 270)(84, 231)(85, 271)(86, 268)(87, 237)(88, 238)(89, 273)(90, 241)(91, 240)(92, 275)(93, 277)(94, 245)(95, 279)(96, 247)(97, 281)(98, 252)(99, 249)(100, 286)(101, 250)(102, 287)(103, 284)(104, 256)(105, 289)(106, 258)(107, 292)(108, 259)(109, 293)(110, 262)(111, 295)(112, 264)(113, 297)(114, 269)(115, 266)(116, 302)(117, 267)(118, 303)(119, 300)(120, 272)(121, 305)(122, 276)(123, 274)(124, 308)(125, 309)(126, 278)(127, 311)(128, 280)(129, 312)(130, 285)(131, 282)(132, 317)(133, 283)(134, 318)(135, 315)(136, 288)(137, 320)(138, 291)(139, 290)(140, 322)(141, 324)(142, 294)(143, 326)(144, 296)(145, 301)(146, 298)(147, 328)(148, 299)(149, 329)(150, 327)(151, 304)(152, 314)(153, 306)(154, 333)(155, 307)(156, 316)(157, 310)(158, 313)(159, 332)(160, 331)(161, 334)(162, 319)(163, 323)(164, 321)(165, 336)(166, 325)(167, 330)(168, 335)
	local type(s) :: { ( 4, 21, 4, 21 ) }
Outer automorphisms :: reflexible
Dual of E18.1098
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 84 e = 168 f = 50
	degree seq :: [ 4^84 ]

E18.1103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2^-2 * Y1)^4, (Y3 * Y2^-1)^21 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 10, 178)(6, 174, 12, 180)(8, 176, 15, 183)(11, 179, 20, 188)(13, 181, 23, 191)(14, 182, 25, 193)(16, 184, 28, 196)(17, 185, 30, 198)(18, 186, 31, 199)(19, 187, 33, 201)(21, 189, 36, 204)(22, 190, 38, 206)(24, 192, 35, 203)(26, 194, 37, 205)(27, 195, 32, 200)(29, 197, 34, 202)(39, 207, 49, 217)(40, 208, 50, 218)(41, 209, 51, 219)(42, 210, 52, 220)(43, 211, 48, 216)(44, 212, 53, 221)(45, 213, 54, 222)(46, 214, 55, 223)(47, 215, 56, 224)(57, 225, 65, 233)(58, 226, 66, 234)(59, 227, 67, 235)(60, 228, 68, 236)(61, 229, 69, 237)(62, 230, 70, 238)(63, 231, 71, 239)(64, 232, 72, 240)(73, 241, 77, 245)(74, 242, 100, 268)(75, 243, 80, 248)(76, 244, 86, 254)(78, 246, 113, 281)(79, 247, 121, 289)(81, 249, 130, 298)(82, 250, 124, 292)(83, 251, 115, 283)(84, 252, 137, 305)(85, 253, 117, 285)(87, 255, 127, 295)(88, 256, 132, 300)(89, 257, 146, 314)(90, 258, 129, 297)(91, 259, 123, 291)(92, 260, 148, 316)(93, 261, 134, 302)(94, 262, 139, 307)(95, 263, 158, 326)(96, 264, 136, 304)(97, 265, 126, 294)(98, 266, 160, 328)(99, 267, 119, 287)(101, 269, 143, 311)(102, 270, 152, 320)(103, 271, 145, 313)(104, 272, 150, 318)(105, 273, 155, 323)(106, 274, 164, 332)(107, 275, 157, 325)(108, 276, 162, 330)(109, 277, 156, 324)(110, 278, 166, 334)(111, 279, 163, 331)(112, 280, 161, 329)(114, 282, 144, 312)(116, 284, 154, 322)(118, 286, 151, 319)(120, 288, 149, 317)(122, 290, 165, 333)(125, 293, 153, 321)(128, 296, 138, 306)(131, 299, 135, 303)(133, 301, 167, 335)(140, 308, 168, 336)(141, 309, 147, 315)(142, 310, 159, 327)(337, 505, 339, 507, 344, 512, 340, 508)(338, 506, 341, 509, 347, 515, 342, 510)(343, 511, 349, 517, 360, 528, 350, 518)(345, 513, 352, 520, 365, 533, 353, 521)(346, 514, 354, 522, 368, 536, 355, 523)(348, 516, 357, 525, 373, 541, 358, 526)(351, 519, 362, 530, 379, 547, 363, 531)(356, 524, 370, 538, 384, 552, 371, 539)(359, 527, 375, 543, 366, 534, 376, 544)(361, 529, 377, 545, 364, 532, 378, 546)(367, 535, 380, 548, 374, 542, 381, 549)(369, 537, 382, 550, 372, 540, 383, 551)(385, 553, 393, 561, 388, 556, 394, 562)(386, 554, 395, 563, 387, 555, 396, 564)(389, 557, 397, 565, 392, 560, 398, 566)(390, 558, 399, 567, 391, 559, 400, 568)(401, 569, 409, 577, 404, 572, 410, 578)(402, 570, 411, 579, 403, 571, 412, 580)(405, 573, 449, 617, 408, 576, 455, 623)(406, 574, 451, 619, 407, 575, 453, 621)(413, 581, 457, 625, 422, 590, 459, 627)(414, 582, 460, 628, 421, 589, 462, 630)(415, 583, 463, 631, 417, 585, 465, 633)(416, 584, 466, 634, 436, 604, 468, 636)(418, 586, 470, 638, 420, 588, 472, 640)(419, 587, 473, 641, 435, 603, 475, 643)(423, 591, 479, 647, 425, 593, 481, 649)(424, 592, 482, 650, 427, 595, 484, 652)(426, 594, 486, 654, 428, 596, 488, 656)(429, 597, 491, 659, 431, 599, 493, 661)(430, 598, 494, 662, 433, 601, 496, 664)(432, 600, 498, 666, 434, 602, 500, 668)(437, 605, 492, 660, 438, 606, 499, 667)(439, 607, 497, 665, 440, 608, 502, 670)(441, 609, 480, 648, 442, 610, 487, 655)(443, 611, 485, 653, 444, 612, 490, 658)(445, 613, 501, 669, 446, 614, 471, 639)(447, 615, 495, 663, 448, 616, 476, 644)(450, 618, 489, 657, 452, 620, 464, 632)(454, 622, 483, 651, 456, 624, 469, 637)(458, 626, 474, 642, 504, 672, 477, 645)(461, 629, 467, 635, 503, 671, 478, 646)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 346)(6, 348)(7, 339)(8, 351)(9, 340)(10, 341)(11, 356)(12, 342)(13, 359)(14, 361)(15, 344)(16, 364)(17, 366)(18, 367)(19, 369)(20, 347)(21, 372)(22, 374)(23, 349)(24, 371)(25, 350)(26, 373)(27, 368)(28, 352)(29, 370)(30, 353)(31, 354)(32, 363)(33, 355)(34, 365)(35, 360)(36, 357)(37, 362)(38, 358)(39, 385)(40, 386)(41, 387)(42, 388)(43, 384)(44, 389)(45, 390)(46, 391)(47, 392)(48, 379)(49, 375)(50, 376)(51, 377)(52, 378)(53, 380)(54, 381)(55, 382)(56, 383)(57, 401)(58, 402)(59, 403)(60, 404)(61, 405)(62, 406)(63, 407)(64, 408)(65, 393)(66, 394)(67, 395)(68, 396)(69, 397)(70, 398)(71, 399)(72, 400)(73, 413)(74, 436)(75, 416)(76, 422)(77, 409)(78, 449)(79, 457)(80, 411)(81, 466)(82, 460)(83, 451)(84, 473)(85, 453)(86, 412)(87, 463)(88, 468)(89, 482)(90, 465)(91, 459)(92, 484)(93, 470)(94, 475)(95, 494)(96, 472)(97, 462)(98, 496)(99, 455)(100, 410)(101, 479)(102, 488)(103, 481)(104, 486)(105, 491)(106, 500)(107, 493)(108, 498)(109, 492)(110, 502)(111, 499)(112, 497)(113, 414)(114, 480)(115, 419)(116, 490)(117, 421)(118, 487)(119, 435)(120, 485)(121, 415)(122, 501)(123, 427)(124, 418)(125, 489)(126, 433)(127, 423)(128, 474)(129, 426)(130, 417)(131, 471)(132, 424)(133, 503)(134, 429)(135, 467)(136, 432)(137, 420)(138, 464)(139, 430)(140, 504)(141, 483)(142, 495)(143, 437)(144, 450)(145, 439)(146, 425)(147, 477)(148, 428)(149, 456)(150, 440)(151, 454)(152, 438)(153, 461)(154, 452)(155, 441)(156, 445)(157, 443)(158, 431)(159, 478)(160, 434)(161, 448)(162, 444)(163, 447)(164, 442)(165, 458)(166, 446)(167, 469)(168, 476)(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, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.1106
Graph:: bipartite
	v = 126 e = 336 f = 176
	degree seq :: [ 4^84, 8^42 ]

E18.1104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y2^2 * Y1^-1)^2, Y2^21 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 21, 189, 11, 179)(5, 173, 13, 181, 18, 186, 7, 175)(8, 176, 19, 187, 31, 199, 15, 183)(10, 178, 23, 191, 37, 205, 20, 188)(12, 180, 16, 184, 32, 200, 27, 195)(14, 182, 26, 194, 44, 212, 28, 196)(17, 185, 34, 202, 51, 219, 33, 201)(22, 190, 30, 198, 48, 216, 39, 207)(24, 192, 38, 206, 49, 217, 41, 209)(25, 193, 40, 208, 50, 218, 36, 204)(29, 197, 35, 203, 52, 220, 45, 213)(42, 210, 57, 225, 65, 233, 55, 223)(43, 211, 58, 226, 73, 241, 59, 227)(46, 214, 61, 229, 67, 235, 53, 221)(47, 215, 63, 231, 69, 237, 54, 222)(56, 224, 71, 239, 81, 249, 66, 234)(60, 228, 75, 243, 87, 255, 72, 240)(62, 230, 68, 236, 83, 251, 77, 245)(64, 232, 78, 246, 93, 261, 79, 247)(70, 238, 85, 253, 99, 267, 84, 252)(74, 242, 82, 250, 97, 265, 89, 257)(76, 244, 88, 256, 98, 266, 90, 258)(80, 248, 86, 254, 100, 268, 94, 262)(91, 259, 105, 273, 113, 281, 103, 271)(92, 260, 106, 274, 121, 289, 107, 275)(95, 263, 109, 277, 115, 283, 101, 269)(96, 264, 111, 279, 117, 285, 102, 270)(104, 272, 119, 287, 129, 297, 114, 282)(108, 276, 123, 291, 135, 303, 120, 288)(110, 278, 116, 284, 131, 299, 125, 293)(112, 280, 126, 294, 141, 309, 127, 295)(118, 286, 133, 301, 147, 315, 132, 300)(122, 290, 130, 298, 145, 313, 137, 305)(124, 292, 136, 304, 146, 314, 138, 306)(128, 296, 134, 302, 148, 316, 142, 310)(139, 307, 153, 321, 159, 327, 151, 319)(140, 308, 154, 322, 165, 333, 155, 323)(143, 311, 156, 324, 161, 329, 149, 317)(144, 312, 158, 326, 163, 331, 150, 318)(152, 320, 164, 332, 167, 335, 160, 328)(157, 325, 162, 330, 168, 336, 166, 334)(337, 505, 339, 507, 346, 514, 360, 528, 379, 547, 396, 564, 412, 580, 428, 596, 444, 612, 460, 628, 476, 644, 480, 648, 464, 632, 448, 616, 432, 600, 416, 584, 400, 568, 383, 551, 365, 533, 350, 518, 341, 509)(338, 506, 343, 511, 353, 521, 371, 539, 390, 558, 406, 574, 422, 590, 438, 606, 454, 622, 470, 638, 486, 654, 488, 656, 472, 640, 456, 624, 440, 608, 424, 592, 408, 576, 392, 560, 374, 542, 356, 524, 344, 512)(340, 508, 348, 516, 362, 530, 381, 549, 398, 566, 414, 582, 430, 598, 446, 614, 462, 630, 478, 646, 493, 661, 490, 658, 474, 642, 458, 626, 442, 610, 426, 594, 410, 578, 394, 562, 377, 545, 358, 526, 345, 513)(342, 510, 351, 519, 366, 534, 385, 553, 402, 570, 418, 586, 434, 602, 450, 618, 466, 634, 482, 650, 496, 664, 498, 666, 484, 652, 468, 636, 452, 620, 436, 604, 420, 588, 404, 572, 388, 556, 369, 537, 352, 520)(347, 515, 361, 529, 349, 517, 364, 532, 382, 550, 399, 567, 415, 583, 431, 599, 447, 615, 463, 631, 479, 647, 494, 662, 491, 659, 475, 643, 459, 627, 443, 611, 427, 595, 411, 579, 395, 563, 378, 546, 359, 527)(354, 522, 372, 540, 355, 523, 373, 541, 391, 559, 407, 575, 423, 591, 439, 607, 455, 623, 471, 639, 487, 655, 500, 668, 499, 667, 485, 653, 469, 637, 453, 621, 437, 605, 421, 589, 405, 573, 389, 557, 370, 538)(357, 525, 375, 543, 393, 561, 409, 577, 425, 593, 441, 609, 457, 625, 473, 641, 489, 657, 501, 669, 502, 670, 492, 660, 477, 645, 461, 629, 445, 613, 429, 597, 413, 581, 397, 565, 380, 548, 363, 531, 376, 544)(367, 535, 386, 554, 368, 536, 387, 555, 403, 571, 419, 587, 435, 603, 451, 619, 467, 635, 483, 651, 497, 665, 504, 672, 503, 671, 495, 663, 481, 649, 465, 633, 449, 617, 433, 601, 417, 585, 401, 569, 384, 552)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 360)(11, 361)(12, 362)(13, 364)(14, 341)(15, 366)(16, 342)(17, 371)(18, 372)(19, 373)(20, 344)(21, 375)(22, 345)(23, 347)(24, 379)(25, 349)(26, 381)(27, 376)(28, 382)(29, 350)(30, 385)(31, 386)(32, 387)(33, 352)(34, 354)(35, 390)(36, 355)(37, 391)(38, 356)(39, 393)(40, 357)(41, 358)(42, 359)(43, 396)(44, 363)(45, 398)(46, 399)(47, 365)(48, 367)(49, 402)(50, 368)(51, 403)(52, 369)(53, 370)(54, 406)(55, 407)(56, 374)(57, 409)(58, 377)(59, 378)(60, 412)(61, 380)(62, 414)(63, 415)(64, 383)(65, 384)(66, 418)(67, 419)(68, 388)(69, 389)(70, 422)(71, 423)(72, 392)(73, 425)(74, 394)(75, 395)(76, 428)(77, 397)(78, 430)(79, 431)(80, 400)(81, 401)(82, 434)(83, 435)(84, 404)(85, 405)(86, 438)(87, 439)(88, 408)(89, 441)(90, 410)(91, 411)(92, 444)(93, 413)(94, 446)(95, 447)(96, 416)(97, 417)(98, 450)(99, 451)(100, 420)(101, 421)(102, 454)(103, 455)(104, 424)(105, 457)(106, 426)(107, 427)(108, 460)(109, 429)(110, 462)(111, 463)(112, 432)(113, 433)(114, 466)(115, 467)(116, 436)(117, 437)(118, 470)(119, 471)(120, 440)(121, 473)(122, 442)(123, 443)(124, 476)(125, 445)(126, 478)(127, 479)(128, 448)(129, 449)(130, 482)(131, 483)(132, 452)(133, 453)(134, 486)(135, 487)(136, 456)(137, 489)(138, 458)(139, 459)(140, 480)(141, 461)(142, 493)(143, 494)(144, 464)(145, 465)(146, 496)(147, 497)(148, 468)(149, 469)(150, 488)(151, 500)(152, 472)(153, 501)(154, 474)(155, 475)(156, 477)(157, 490)(158, 491)(159, 481)(160, 498)(161, 504)(162, 484)(163, 485)(164, 499)(165, 502)(166, 492)(167, 495)(168, 503)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E18.1105
Graph:: bipartite
	v = 50 e = 336 f = 252
	degree seq :: [ 8^42, 42^8 ]

E18.1105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|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)^21 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506)(339, 507, 343, 511)(340, 508, 345, 513)(341, 509, 347, 515)(342, 510, 349, 517)(344, 512, 353, 521)(346, 514, 357, 525)(348, 516, 361, 529)(350, 518, 365, 533)(351, 519, 364, 532)(352, 520, 368, 536)(354, 522, 366, 534)(355, 523, 373, 541)(356, 524, 359, 527)(358, 526, 362, 530)(360, 528, 378, 546)(363, 531, 383, 551)(367, 535, 387, 555)(369, 537, 384, 552)(370, 538, 389, 557)(371, 539, 385, 553)(372, 540, 390, 558)(374, 542, 379, 547)(375, 543, 381, 549)(376, 544, 394, 562)(377, 545, 397, 565)(380, 548, 399, 567)(382, 550, 400, 568)(386, 554, 404, 572)(388, 556, 403, 571)(391, 559, 408, 576)(392, 560, 410, 578)(393, 561, 398, 566)(395, 563, 412, 580)(396, 564, 414, 582)(401, 569, 417, 585)(402, 570, 419, 587)(405, 573, 421, 589)(406, 574, 423, 591)(407, 575, 416, 584)(409, 577, 425, 593)(411, 579, 424, 592)(413, 581, 429, 597)(415, 583, 420, 588)(418, 586, 433, 601)(422, 590, 437, 605)(426, 594, 438, 606)(427, 595, 439, 607)(428, 596, 442, 610)(430, 598, 434, 602)(431, 599, 435, 603)(432, 600, 446, 614)(436, 604, 450, 618)(440, 608, 454, 622)(441, 609, 453, 621)(443, 611, 457, 625)(444, 612, 459, 627)(445, 613, 449, 617)(447, 615, 461, 629)(448, 616, 463, 631)(451, 619, 465, 633)(452, 620, 467, 635)(455, 623, 469, 637)(456, 624, 471, 639)(458, 626, 473, 641)(460, 628, 472, 640)(462, 630, 477, 645)(464, 632, 468, 636)(466, 634, 481, 649)(470, 638, 485, 653)(474, 642, 486, 654)(475, 643, 487, 655)(476, 644, 490, 658)(478, 646, 482, 650)(479, 647, 483, 651)(480, 648, 493, 661)(484, 652, 496, 664)(488, 656, 499, 667)(489, 657, 498, 666)(491, 659, 501, 669)(492, 660, 495, 663)(494, 662, 502, 670)(497, 665, 503, 671)(500, 668, 504, 672)
	L = (1, 339)(2, 341)(3, 344)(4, 337)(5, 348)(6, 338)(7, 351)(8, 354)(9, 355)(10, 340)(11, 359)(12, 362)(13, 363)(14, 342)(15, 367)(16, 343)(17, 370)(18, 372)(19, 374)(20, 345)(21, 375)(22, 346)(23, 377)(24, 347)(25, 380)(26, 382)(27, 384)(28, 349)(29, 385)(30, 350)(31, 357)(32, 388)(33, 352)(34, 356)(35, 353)(36, 392)(37, 387)(38, 394)(39, 395)(40, 358)(41, 365)(42, 398)(43, 360)(44, 364)(45, 361)(46, 402)(47, 397)(48, 404)(49, 405)(50, 366)(51, 407)(52, 408)(53, 368)(54, 369)(55, 371)(56, 411)(57, 373)(58, 413)(59, 414)(60, 376)(61, 416)(62, 417)(63, 378)(64, 379)(65, 381)(66, 420)(67, 383)(68, 422)(69, 423)(70, 386)(71, 389)(72, 425)(73, 390)(74, 391)(75, 428)(76, 393)(77, 430)(78, 431)(79, 396)(80, 399)(81, 433)(82, 400)(83, 401)(84, 436)(85, 403)(86, 438)(87, 439)(88, 406)(89, 441)(90, 409)(91, 410)(92, 444)(93, 412)(94, 446)(95, 447)(96, 415)(97, 449)(98, 418)(99, 419)(100, 452)(101, 421)(102, 454)(103, 455)(104, 424)(105, 457)(106, 426)(107, 427)(108, 460)(109, 429)(110, 462)(111, 463)(112, 432)(113, 465)(114, 434)(115, 435)(116, 468)(117, 437)(118, 470)(119, 471)(120, 440)(121, 473)(122, 442)(123, 443)(124, 476)(125, 445)(126, 478)(127, 479)(128, 448)(129, 481)(130, 450)(131, 451)(132, 484)(133, 453)(134, 486)(135, 487)(136, 456)(137, 489)(138, 458)(139, 459)(140, 480)(141, 461)(142, 493)(143, 494)(144, 464)(145, 495)(146, 466)(147, 467)(148, 488)(149, 469)(150, 499)(151, 500)(152, 472)(153, 501)(154, 474)(155, 475)(156, 477)(157, 491)(158, 490)(159, 503)(160, 482)(161, 483)(162, 485)(163, 497)(164, 496)(165, 502)(166, 492)(167, 504)(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) :: { ( 8, 42 ), ( 8, 42, 8, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.1104
Graph:: simple bipartite
	v = 252 e = 336 f = 50
	degree seq :: [ 2^168, 4^84 ]

E18.1106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^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, Y1^21 ]
Map:: polytopal
	R = (1, 169, 2, 170, 5, 173, 11, 179, 23, 191, 41, 209, 61, 229, 80, 248, 97, 265, 113, 281, 129, 297, 144, 312, 128, 296, 112, 280, 96, 264, 79, 247, 60, 228, 40, 208, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 31, 199, 51, 219, 71, 239, 89, 257, 105, 273, 121, 289, 137, 305, 152, 320, 146, 314, 130, 298, 117, 285, 99, 267, 81, 249, 65, 233, 43, 211, 24, 192, 18, 186, 8, 176)(6, 174, 13, 181, 27, 195, 21, 189, 39, 207, 59, 227, 78, 246, 95, 263, 111, 279, 127, 295, 143, 311, 158, 326, 145, 313, 133, 301, 115, 283, 98, 266, 84, 252, 63, 231, 42, 210, 30, 198, 14, 182)(9, 177, 19, 187, 37, 205, 57, 225, 76, 244, 93, 261, 109, 277, 125, 293, 141, 309, 156, 324, 148, 316, 131, 299, 114, 282, 101, 269, 82, 250, 62, 230, 46, 214, 26, 194, 12, 180, 25, 193, 20, 188)(16, 184, 33, 201, 53, 221, 36, 204, 45, 213, 67, 235, 86, 254, 100, 268, 118, 286, 135, 303, 147, 315, 160, 328, 163, 331, 155, 323, 139, 307, 122, 290, 108, 276, 91, 259, 72, 240, 55, 223, 34, 202)(17, 185, 35, 203, 50, 218, 64, 232, 85, 253, 103, 271, 116, 284, 134, 302, 150, 318, 159, 327, 164, 332, 153, 321, 138, 306, 123, 291, 106, 274, 90, 258, 73, 241, 52, 220, 32, 200, 48, 216, 28, 196)(29, 197, 49, 217, 68, 236, 83, 251, 102, 270, 119, 287, 132, 300, 149, 317, 161, 329, 166, 334, 157, 325, 142, 310, 126, 294, 110, 278, 94, 262, 77, 245, 58, 226, 38, 206, 47, 215, 66, 234, 44, 212)(54, 222, 75, 243, 92, 260, 107, 275, 124, 292, 140, 308, 154, 322, 165, 333, 168, 336, 167, 335, 162, 330, 151, 319, 136, 304, 120, 288, 104, 272, 88, 256, 70, 238, 56, 224, 74, 242, 87, 255, 69, 237)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 342)(3, 337)(4, 345)(5, 348)(6, 338)(7, 352)(8, 353)(9, 340)(10, 357)(11, 360)(12, 341)(13, 364)(14, 365)(15, 368)(16, 343)(17, 344)(18, 372)(19, 374)(20, 369)(21, 346)(22, 367)(23, 378)(24, 347)(25, 380)(26, 381)(27, 383)(28, 349)(29, 350)(30, 386)(31, 358)(32, 351)(33, 356)(34, 390)(35, 392)(36, 354)(37, 391)(38, 355)(39, 388)(40, 393)(41, 398)(42, 359)(43, 400)(44, 361)(45, 362)(46, 404)(47, 363)(48, 405)(49, 406)(50, 366)(51, 408)(52, 375)(53, 410)(54, 370)(55, 373)(56, 371)(57, 376)(58, 411)(59, 413)(60, 414)(61, 417)(62, 377)(63, 419)(64, 379)(65, 422)(66, 423)(67, 424)(68, 382)(69, 384)(70, 385)(71, 426)(72, 387)(73, 428)(74, 389)(75, 394)(76, 430)(77, 395)(78, 396)(79, 425)(80, 434)(81, 397)(82, 436)(83, 399)(84, 439)(85, 440)(86, 401)(87, 402)(88, 403)(89, 415)(90, 407)(91, 443)(92, 409)(93, 444)(94, 412)(95, 442)(96, 445)(97, 450)(98, 416)(99, 452)(100, 418)(101, 455)(102, 456)(103, 420)(104, 421)(105, 458)(106, 431)(107, 427)(108, 429)(109, 432)(110, 460)(111, 462)(112, 463)(113, 466)(114, 433)(115, 468)(116, 435)(117, 471)(118, 472)(119, 437)(120, 438)(121, 474)(122, 441)(123, 476)(124, 446)(125, 478)(126, 447)(127, 448)(128, 473)(129, 481)(130, 449)(131, 483)(132, 451)(133, 486)(134, 487)(135, 453)(136, 454)(137, 464)(138, 457)(139, 490)(140, 459)(141, 491)(142, 461)(143, 489)(144, 492)(145, 465)(146, 495)(147, 467)(148, 497)(149, 498)(150, 469)(151, 470)(152, 499)(153, 479)(154, 475)(155, 477)(156, 480)(157, 501)(158, 502)(159, 482)(160, 503)(161, 484)(162, 485)(163, 488)(164, 504)(165, 493)(166, 494)(167, 496)(168, 500)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E18.1103
Graph:: simple bipartite
	v = 176 e = 336 f = 126
	degree seq :: [ 2^168, 42^8 ]

E18.1107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-2 * Y1 * Y2^-1)^2, Y2^21 ]
Map::
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 17, 185)(10, 178, 21, 189)(12, 180, 25, 193)(14, 182, 29, 197)(15, 183, 28, 196)(16, 184, 32, 200)(18, 186, 30, 198)(19, 187, 37, 205)(20, 188, 23, 191)(22, 190, 26, 194)(24, 192, 42, 210)(27, 195, 47, 215)(31, 199, 51, 219)(33, 201, 48, 216)(34, 202, 53, 221)(35, 203, 49, 217)(36, 204, 54, 222)(38, 206, 43, 211)(39, 207, 45, 213)(40, 208, 58, 226)(41, 209, 61, 229)(44, 212, 63, 231)(46, 214, 64, 232)(50, 218, 68, 236)(52, 220, 67, 235)(55, 223, 72, 240)(56, 224, 74, 242)(57, 225, 62, 230)(59, 227, 76, 244)(60, 228, 78, 246)(65, 233, 81, 249)(66, 234, 83, 251)(69, 237, 85, 253)(70, 238, 87, 255)(71, 239, 80, 248)(73, 241, 89, 257)(75, 243, 88, 256)(77, 245, 93, 261)(79, 247, 84, 252)(82, 250, 97, 265)(86, 254, 101, 269)(90, 258, 102, 270)(91, 259, 103, 271)(92, 260, 106, 274)(94, 262, 98, 266)(95, 263, 99, 267)(96, 264, 110, 278)(100, 268, 114, 282)(104, 272, 118, 286)(105, 273, 117, 285)(107, 275, 121, 289)(108, 276, 123, 291)(109, 277, 113, 281)(111, 279, 125, 293)(112, 280, 127, 295)(115, 283, 129, 297)(116, 284, 131, 299)(119, 287, 133, 301)(120, 288, 135, 303)(122, 290, 137, 305)(124, 292, 136, 304)(126, 294, 141, 309)(128, 296, 132, 300)(130, 298, 145, 313)(134, 302, 149, 317)(138, 306, 150, 318)(139, 307, 151, 319)(140, 308, 154, 322)(142, 310, 146, 314)(143, 311, 147, 315)(144, 312, 157, 325)(148, 316, 160, 328)(152, 320, 163, 331)(153, 321, 162, 330)(155, 323, 165, 333)(156, 324, 159, 327)(158, 326, 166, 334)(161, 329, 167, 335)(164, 332, 168, 336)(337, 505, 339, 507, 344, 512, 354, 522, 372, 540, 392, 560, 411, 579, 428, 596, 444, 612, 460, 628, 476, 644, 480, 648, 464, 632, 448, 616, 432, 600, 415, 583, 396, 564, 376, 544, 358, 526, 346, 514, 340, 508)(338, 506, 341, 509, 348, 516, 362, 530, 382, 550, 402, 570, 420, 588, 436, 604, 452, 620, 468, 636, 484, 652, 488, 656, 472, 640, 456, 624, 440, 608, 424, 592, 406, 574, 386, 554, 366, 534, 350, 518, 342, 510)(343, 511, 351, 519, 367, 535, 357, 525, 375, 543, 395, 563, 414, 582, 431, 599, 447, 615, 463, 631, 479, 647, 494, 662, 490, 658, 474, 642, 458, 626, 442, 610, 426, 594, 409, 577, 390, 558, 369, 537, 352, 520)(345, 513, 355, 523, 374, 542, 394, 562, 413, 581, 430, 598, 446, 614, 462, 630, 478, 646, 493, 661, 491, 659, 475, 643, 459, 627, 443, 611, 427, 595, 410, 578, 391, 559, 371, 539, 353, 521, 370, 538, 356, 524)(347, 515, 359, 527, 377, 545, 365, 533, 385, 553, 405, 573, 423, 591, 439, 607, 455, 623, 471, 639, 487, 655, 500, 668, 496, 664, 482, 650, 466, 634, 450, 618, 434, 602, 418, 586, 400, 568, 379, 547, 360, 528)(349, 517, 363, 531, 384, 552, 404, 572, 422, 590, 438, 606, 454, 622, 470, 638, 486, 654, 499, 667, 497, 665, 483, 651, 467, 635, 451, 619, 435, 603, 419, 587, 401, 569, 381, 549, 361, 529, 380, 548, 364, 532)(368, 536, 388, 556, 408, 576, 425, 593, 441, 609, 457, 625, 473, 641, 489, 657, 501, 669, 502, 670, 492, 660, 477, 645, 461, 629, 445, 613, 429, 597, 412, 580, 393, 561, 373, 541, 387, 555, 407, 575, 389, 557)(378, 546, 398, 566, 417, 585, 433, 601, 449, 617, 465, 633, 481, 649, 495, 663, 503, 671, 504, 672, 498, 666, 485, 653, 469, 637, 453, 621, 437, 605, 421, 589, 403, 571, 383, 551, 397, 565, 416, 584, 399, 567)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 347)(6, 349)(7, 339)(8, 353)(9, 340)(10, 357)(11, 341)(12, 361)(13, 342)(14, 365)(15, 364)(16, 368)(17, 344)(18, 366)(19, 373)(20, 359)(21, 346)(22, 362)(23, 356)(24, 378)(25, 348)(26, 358)(27, 383)(28, 351)(29, 350)(30, 354)(31, 387)(32, 352)(33, 384)(34, 389)(35, 385)(36, 390)(37, 355)(38, 379)(39, 381)(40, 394)(41, 397)(42, 360)(43, 374)(44, 399)(45, 375)(46, 400)(47, 363)(48, 369)(49, 371)(50, 404)(51, 367)(52, 403)(53, 370)(54, 372)(55, 408)(56, 410)(57, 398)(58, 376)(59, 412)(60, 414)(61, 377)(62, 393)(63, 380)(64, 382)(65, 417)(66, 419)(67, 388)(68, 386)(69, 421)(70, 423)(71, 416)(72, 391)(73, 425)(74, 392)(75, 424)(76, 395)(77, 429)(78, 396)(79, 420)(80, 407)(81, 401)(82, 433)(83, 402)(84, 415)(85, 405)(86, 437)(87, 406)(88, 411)(89, 409)(90, 438)(91, 439)(92, 442)(93, 413)(94, 434)(95, 435)(96, 446)(97, 418)(98, 430)(99, 431)(100, 450)(101, 422)(102, 426)(103, 427)(104, 454)(105, 453)(106, 428)(107, 457)(108, 459)(109, 449)(110, 432)(111, 461)(112, 463)(113, 445)(114, 436)(115, 465)(116, 467)(117, 441)(118, 440)(119, 469)(120, 471)(121, 443)(122, 473)(123, 444)(124, 472)(125, 447)(126, 477)(127, 448)(128, 468)(129, 451)(130, 481)(131, 452)(132, 464)(133, 455)(134, 485)(135, 456)(136, 460)(137, 458)(138, 486)(139, 487)(140, 490)(141, 462)(142, 482)(143, 483)(144, 493)(145, 466)(146, 478)(147, 479)(148, 496)(149, 470)(150, 474)(151, 475)(152, 499)(153, 498)(154, 476)(155, 501)(156, 495)(157, 480)(158, 502)(159, 492)(160, 484)(161, 503)(162, 489)(163, 488)(164, 504)(165, 491)(166, 494)(167, 497)(168, 500)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E18.1108
Graph:: bipartite
	v = 92 e = 336 f = 210
	degree seq :: [ 4^84, 42^8 ]

E18.1108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 21})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^21 ]
Map:: polytopal
	R = (1, 169, 2, 170, 6, 174, 4, 172)(3, 171, 9, 177, 21, 189, 11, 179)(5, 173, 13, 181, 18, 186, 7, 175)(8, 176, 19, 187, 31, 199, 15, 183)(10, 178, 23, 191, 37, 205, 20, 188)(12, 180, 16, 184, 32, 200, 27, 195)(14, 182, 26, 194, 44, 212, 28, 196)(17, 185, 34, 202, 51, 219, 33, 201)(22, 190, 30, 198, 48, 216, 39, 207)(24, 192, 38, 206, 49, 217, 41, 209)(25, 193, 40, 208, 50, 218, 36, 204)(29, 197, 35, 203, 52, 220, 45, 213)(42, 210, 57, 225, 65, 233, 55, 223)(43, 211, 58, 226, 73, 241, 59, 227)(46, 214, 61, 229, 67, 235, 53, 221)(47, 215, 63, 231, 69, 237, 54, 222)(56, 224, 71, 239, 81, 249, 66, 234)(60, 228, 75, 243, 87, 255, 72, 240)(62, 230, 68, 236, 83, 251, 77, 245)(64, 232, 78, 246, 93, 261, 79, 247)(70, 238, 85, 253, 99, 267, 84, 252)(74, 242, 82, 250, 97, 265, 89, 257)(76, 244, 88, 256, 98, 266, 90, 258)(80, 248, 86, 254, 100, 268, 94, 262)(91, 259, 105, 273, 113, 281, 103, 271)(92, 260, 106, 274, 121, 289, 107, 275)(95, 263, 109, 277, 115, 283, 101, 269)(96, 264, 111, 279, 117, 285, 102, 270)(104, 272, 119, 287, 129, 297, 114, 282)(108, 276, 123, 291, 135, 303, 120, 288)(110, 278, 116, 284, 131, 299, 125, 293)(112, 280, 126, 294, 141, 309, 127, 295)(118, 286, 133, 301, 147, 315, 132, 300)(122, 290, 130, 298, 145, 313, 137, 305)(124, 292, 136, 304, 146, 314, 138, 306)(128, 296, 134, 302, 148, 316, 142, 310)(139, 307, 153, 321, 159, 327, 151, 319)(140, 308, 154, 322, 165, 333, 155, 323)(143, 311, 156, 324, 161, 329, 149, 317)(144, 312, 158, 326, 163, 331, 150, 318)(152, 320, 164, 332, 167, 335, 160, 328)(157, 325, 162, 330, 168, 336, 166, 334)(337, 505)(338, 506)(339, 507)(340, 508)(341, 509)(342, 510)(343, 511)(344, 512)(345, 513)(346, 514)(347, 515)(348, 516)(349, 517)(350, 518)(351, 519)(352, 520)(353, 521)(354, 522)(355, 523)(356, 524)(357, 525)(358, 526)(359, 527)(360, 528)(361, 529)(362, 530)(363, 531)(364, 532)(365, 533)(366, 534)(367, 535)(368, 536)(369, 537)(370, 538)(371, 539)(372, 540)(373, 541)(374, 542)(375, 543)(376, 544)(377, 545)(378, 546)(379, 547)(380, 548)(381, 549)(382, 550)(383, 551)(384, 552)(385, 553)(386, 554)(387, 555)(388, 556)(389, 557)(390, 558)(391, 559)(392, 560)(393, 561)(394, 562)(395, 563)(396, 564)(397, 565)(398, 566)(399, 567)(400, 568)(401, 569)(402, 570)(403, 571)(404, 572)(405, 573)(406, 574)(407, 575)(408, 576)(409, 577)(410, 578)(411, 579)(412, 580)(413, 581)(414, 582)(415, 583)(416, 584)(417, 585)(418, 586)(419, 587)(420, 588)(421, 589)(422, 590)(423, 591)(424, 592)(425, 593)(426, 594)(427, 595)(428, 596)(429, 597)(430, 598)(431, 599)(432, 600)(433, 601)(434, 602)(435, 603)(436, 604)(437, 605)(438, 606)(439, 607)(440, 608)(441, 609)(442, 610)(443, 611)(444, 612)(445, 613)(446, 614)(447, 615)(448, 616)(449, 617)(450, 618)(451, 619)(452, 620)(453, 621)(454, 622)(455, 623)(456, 624)(457, 625)(458, 626)(459, 627)(460, 628)(461, 629)(462, 630)(463, 631)(464, 632)(465, 633)(466, 634)(467, 635)(468, 636)(469, 637)(470, 638)(471, 639)(472, 640)(473, 641)(474, 642)(475, 643)(476, 644)(477, 645)(478, 646)(479, 647)(480, 648)(481, 649)(482, 650)(483, 651)(484, 652)(485, 653)(486, 654)(487, 655)(488, 656)(489, 657)(490, 658)(491, 659)(492, 660)(493, 661)(494, 662)(495, 663)(496, 664)(497, 665)(498, 666)(499, 667)(500, 668)(501, 669)(502, 670)(503, 671)(504, 672)
	L = (1, 339)(2, 343)(3, 346)(4, 348)(5, 337)(6, 351)(7, 353)(8, 338)(9, 340)(10, 360)(11, 361)(12, 362)(13, 364)(14, 341)(15, 366)(16, 342)(17, 371)(18, 372)(19, 373)(20, 344)(21, 375)(22, 345)(23, 347)(24, 379)(25, 349)(26, 381)(27, 376)(28, 382)(29, 350)(30, 385)(31, 386)(32, 387)(33, 352)(34, 354)(35, 390)(36, 355)(37, 391)(38, 356)(39, 393)(40, 357)(41, 358)(42, 359)(43, 396)(44, 363)(45, 398)(46, 399)(47, 365)(48, 367)(49, 402)(50, 368)(51, 403)(52, 369)(53, 370)(54, 406)(55, 407)(56, 374)(57, 409)(58, 377)(59, 378)(60, 412)(61, 380)(62, 414)(63, 415)(64, 383)(65, 384)(66, 418)(67, 419)(68, 388)(69, 389)(70, 422)(71, 423)(72, 392)(73, 425)(74, 394)(75, 395)(76, 428)(77, 397)(78, 430)(79, 431)(80, 400)(81, 401)(82, 434)(83, 435)(84, 404)(85, 405)(86, 438)(87, 439)(88, 408)(89, 441)(90, 410)(91, 411)(92, 444)(93, 413)(94, 446)(95, 447)(96, 416)(97, 417)(98, 450)(99, 451)(100, 420)(101, 421)(102, 454)(103, 455)(104, 424)(105, 457)(106, 426)(107, 427)(108, 460)(109, 429)(110, 462)(111, 463)(112, 432)(113, 433)(114, 466)(115, 467)(116, 436)(117, 437)(118, 470)(119, 471)(120, 440)(121, 473)(122, 442)(123, 443)(124, 476)(125, 445)(126, 478)(127, 479)(128, 448)(129, 449)(130, 482)(131, 483)(132, 452)(133, 453)(134, 486)(135, 487)(136, 456)(137, 489)(138, 458)(139, 459)(140, 480)(141, 461)(142, 493)(143, 494)(144, 464)(145, 465)(146, 496)(147, 497)(148, 468)(149, 469)(150, 488)(151, 500)(152, 472)(153, 501)(154, 474)(155, 475)(156, 477)(157, 490)(158, 491)(159, 481)(160, 498)(161, 504)(162, 484)(163, 485)(164, 499)(165, 502)(166, 492)(167, 495)(168, 503)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 42 ), ( 4, 42, 4, 42, 4, 42, 4, 42 ) }
Outer automorphisms :: reflexible
Dual of E18.1107
Graph:: simple bipartite
	v = 210 e = 336 f = 92
	degree seq :: [ 2^168, 8^42 ]

## Checksum: 1108 records.
## Written on: Wed Oct 16 14:58:46 CEST 2019